diff --git a/HW b/HW index b71b1e9..31f7e4a 100644 --- a/HW +++ b/HW @@ -7,4 +7,4 @@ Chap 5: 2, 6, 8, 12, in-class assignment Chap 9: 7, 11, 12, 13, 14 Chap 7: 7, 8, one from last class, 11 - due friday 3-18 + due friday 3-18, the class one is: show L̂𝓏 and p² commute diff --git a/lecture_notes/3-23/overview b/lecture_notes/3-23/overview new file mode 100644 index 0000000..9781edc --- /dev/null +++ b/lecture_notes/3-23/overview @@ -0,0 +1,35 @@ +Two dimensional harmonic oscillator +─────────────────────────────────── + + This is an oscillator with potential V(x,y) = μ/2 ω (x² + y²) + + The hamiltonian here leaves us with a 3-dimensional differential equation + + Ĥ = ιp²/2μ + μ/2 ω² (x² + y²) = 1/2μ (p²𝓍 + p²𝓎 + p²𝓏) + μ/2 ω²(x² + y²) + + (pic) This is then split into x,y, and z parts. + + (pic) Solved Ψ(z) + + + Put together solutions of Ψ(x,y) and Ψ(z). + + (pic) To find position space representation of Ψ(x,y), recall the Hermitian Polynomials solution + + !!! STUDY THIS !!! + + Developed the harmonic oscillator in polar coordinates + + Ĥ𝓍𝓎 = -ħ²\2μ ∇² + μ/2 ω² r² + + (pic) Can be solved using separation of variables. + + Ψ(r,θ) = R(r) Θ(θ) + + The problem is invariant under rotations about z, i.e. L̂𝓏 commutes with Ĥ, so the solutions must be eigenstates of both Ĥ and L̂𝓏. + + Don't use L̂𝓏 Θ = ±ιmħ Θ + + Use L̂𝓏² Θ = -m²ħ² Θ ⇒ Θ(θ) = exp(±imθ) + + (pic) further developed hamiltonian using this information \ No newline at end of file diff --git a/solutions/chap7/prob7 b/solutions/chap7/prob7 index 2afa48b..e84ac89 100644 --- a/solutions/chap7/prob7 +++ b/solutions/chap7/prob7 @@ -1,6 +1,6 @@ Angular momentum system is prepared in the state - ❙Ψ❭ = 1͟ ❙11❭ - 2͟ ❙10❭ + ι͟2͟ ❙22❭ + ι1͟ ❙20❭ + ❙Ψ❭ = 1͟ ❙11❭ - 2͟ ❙10❭ + ι͟2͟ ❙22❭ + ι͟1͟ ❙20❭ √10 √10 √10 √10 @@ -18,7 +18,7 @@ For lm = 22 & 20, 𝐋̂² = 6ħ². Since the same 𝐋̂² is measures for two states, the sum of the probabilities of measuring those states is the probability of measuring that squared angular momentum. -𝓟(𝐋̂²=2ħ²) = │❬11❙Ψ❭│² + │❬10❙Ψ❭│². + 𝓟(𝐋̂²=2ħ²) = │❬11❙Ψ❭│² + │❬10❙Ψ❭│². ❬11❙Ψ❭ = ❬11❙⎛ 1͟ ❙11❭ - 2͟ ❙10❭ + ι͟2͟ ❙22❭ + ι1͟ ❙20❭ ⎞ ⎝ √10 √10 √10 √10 ⎠. @@ -41,29 +41,29 @@ No need to calculate the other set: since the vector is normalized, the probabil 𝓟(𝐋̂²=6ħ²) = ½. -For 𝐋̂𝓏 the eigenvalue equation is +For L̂𝓏 the eigenvalue equation is - 𝐋̂𝓏❙lm❭ = mħ❙lm❭, + L̂𝓏❙lm❭ = mħ❙lm❭, so the expected measurements are, -for lm = 11 & 21, 𝐋̂𝓏 = ħ. +for lm = 11 & 21, L̂𝓏 = ħ. -for lm = 10 & 20, 𝐋̂𝓏 = 0. +for lm = 10 & 20, L̂𝓏 = 0. In this case, the probabilities will be - 𝓟(𝐋̂𝓏=ħ) = │❬11❙Ψ❭│² + │❬21❙Ψ❭│² and + 𝓟(L̂𝓏=ħ) = │❬11❙Ψ❭│² + │❬21❙Ψ❭│² and - 𝓟(𝐋̂𝓏=0) = │❬10❙Ψ❭│² + │❬20❙Ψ❭│². + 𝓟(L̂𝓏=0) = │❬10❙Ψ❭│² + │❬20❙Ψ❭│². The method has already been demonstrated, so taking the probability components and summing, (𝐛) - 𝓟(𝐋̂𝓏=ħ) = ²/₁₀. + 𝓟(L̂𝓏=ħ) = ²/₁₀. - 𝓟(𝐋̂𝓏=0) = ⁸/₁₀. + 𝓟(L̂𝓏=0) = ⁸/₁₀. Histogram of probabilities: @@ -72,17 +72,17 @@ Histogram of probabilities: ╭─────────────────┬────────────────╮ 1 │ │ │ 1 │ │ │ -.8 │ │ ▧ │ .8 - │ │ ▧ │ - │ │ ▧ │ -.5 │ ▧        ▧    │           ▧    │ .5 -   │   ▧        ▧    │           ▧    │     -   │   ▧        ▧    │           ▧    │     -   │   ▧        ▧    │   ▧       ▧    │     -.1 │   ▧        ▧    │   ▧       ▧    │ .1 +.8 │ │ ▓ │ .8 + │ │ ▓ │ + │ │ ▓ │ +.5 │ ▓        ▓    │           ▓    │ .5 +   │   ▓        ▓    │           ▓    │     +   │   ▓        ▓    │           ▓    │     +   │   ▓        ▓    │   ▓       ▓    │     +.1 │   ▓        ▓    │   ▓       ▓    │ .1    ╰─────────────────┼────────────────╯ - 2ħ² 6ħ² │ 0 ħ - 𝐋̂² │ 𝐋̂𝓏 + 2ħ² 6ħ² 0 ħ + 𝐋̂² L̂𝓏 h diff --git a/solutions/chap7/prob7.ps b/solutions/chap7/prob7.ps index f126baa..9cbf4e0 100644 --- a/solutions/chap7/prob7.ps +++ b/solutions/chap7/prob7.ps @@ -178,6 +178,77 @@ end /fontdict 1 dict def papsdict begin fontdict begin /AAA { start_ol +0 8784 m +1522 8784 l +2153 2326 l +2913 6480 l +4358 6480 l +5243 2326 l +5738 8784 l +7272 8784 l +6257 0 l +4636 0 l +3632 4593 l +2695 0 l +1085 0 l +0 8784 l +7200 fwd_x +end_ol + } def +/BAA { start_ol +6480 360 m +5883 108 5263 -18 x +4644 -144 3954 -144 x +2311 -144 1443 731 x +576 1606 576 3252 x +576 4846 1413 5771 x +2251 6696 3697 6696 x +5157 6696 5962 5823 x +6768 4950 6768 3364 x +6768 2664 l +2304 2664 l +2309 1938 2760 1580 x +3213 1224 4110 1224 x +4702 1224 5277 1396 x +5852 1569 6480 1944 x +6480 360 l +5040 3960 m +5028 4635 4695 4981 x +4363 5328 3717 5328 x +3133 5328 2786 4970 x +2440 4612 2376 3954 x +5040 3960 l +7200 fwd_x +end_ol + } def +/CAA { start_ol +4608 5598 m +4608 9144 l +6336 9144 l +6336 0 l +4608 0 l +4608 1019 l +4332 441 3895 148 x +3460 -144 2868 -144 x +1744 -144 1123 751 x +504 1647 504 3276 x +504 4927 1132 5811 x +1762 6696 2927 6696 x +3454 6696 3873 6421 x +4291 6147 4608 5598 x +2232 3276 m +2232 2349 2545 1822 x +2860 1296 3414 1296 x +3967 1296 4287 1822 x +4608 2349 4608 3276 x +4608 4203 4287 4729 x +3967 5256 3414 5256 x +2860 5256 2545 4729 x +2232 4203 2232 3276 x +7200 fwd_x +end_ol + } def +/EAA { start_ol 504 8784 m 2577 8784 l 3596 4911 l @@ -195,50 +266,7 @@ papsdict begin fontdict begin 7200 fwd_x end_ol } def -/BAA { start_ol -3632 5328 m -3012 5328 2658 4785 x -2304 4243 2304 3276 x -2304 2308 2658 1766 x -3012 1224 3632 1224 x -4259 1224 4613 1766 x -4968 2308 4968 3276 x -4968 4243 4613 4785 x -4259 5328 3632 5328 x -576 3276 m -576 4852 1405 5773 x -2234 6696 3632 6696 x -5037 6696 5866 5773 x -6696 4852 6696 3276 x -6696 1699 5866 777 x -5037 -144 3632 -144 x -2234 -144 1405 777 x -576 1699 576 3276 x -7200 fwd_x -end_ol - } def -/CAA { start_ol -6264 4261 m -6264 0 l -4536 0 l -4536 3997 l -4536 4712 4340 5019 x -4144 5328 3701 5328 x -3252 5328 2993 4911 x -2736 4495 2736 3757 x -2736 0 l -1008 0 l -1008 6552 l -2736 6552 l -2736 5577 l -2916 6111 3351 6403 x -3786 6696 4401 6696 x -5323 6696 5793 6084 x -6264 5473 6264 4261 x -7200 fwd_x -end_ol - } def -/EAA { start_ol +/FAA { start_ol 4127 3096 m 3150 3096 2763 2855 x 2376 2614 2376 2030 x @@ -272,7 +300,7 @@ end_ol 7200 fwd_x end_ol } def -/FAA { start_ol +/GAA { start_ol 6768 4680 m 6487 4968 6111 5112 x 5734 5256 5284 5256 x @@ -293,7 +321,7 @@ end_ol 7200 fwd_x end_ol } def -/GAA { start_ol +/HAA { start_ol 2543 1512 m 6203 1512 l 6203 0 l @@ -317,70 +345,43 @@ end_ol 5121 4125 3736 2724 x 2985 1965 2543 1512 x 7200 fwd_x -end_ol - } def -/HAA { start_ol -1080 1512 m -3024 1512 l -3024 7200 l -1224 6768 l -1224 8352 l -3021 8784 l -4680 8784 l -4680 1512 l -6624 1512 l -6624 0 l -1080 0 l -1080 1512 l -7200 fwd_x end_ol } def /IAA { start_ol -3810 4464 m -3251 4464 2957 4047 x -2664 3631 2664 2840 x -2664 2056 2957 1640 x -3251 1224 3810 1224 x -4368 1224 4667 1640 x -4968 2056 4968 2840 x -4968 3625 4667 4044 x -4368 4464 3810 4464 x -6048 8568 m -6048 6984 l -5591 7272 5171 7416 x -4752 7560 4363 7560 x -3438 7560 2954 6933 x -2471 6306 2448 5081 x -2722 5456 3148 5644 x -3576 5832 4155 5832 x -5337 5832 5980 5081 x -6624 4332 6624 2955 x -6624 1479 5897 667 x -5170 -144 3852 -144 x -2245 -144 1518 927 x -792 1999 792 4388 x -792 6661 1674 7794 x -2557 8928 4323 8928 x -4732 8928 5168 8838 x -5603 8748 6048 8568 x +3240 3960 m +2304 3960 l +2304 5472 l +3240 5472 l +3891 5472 4249 5728 x +4608 5985 4608 6450 x +4608 6940 4249 7213 x +3891 7488 3240 7488 x +2745 7488 2179 7358 x +1614 7230 1008 6984 x +1008 8568 l +1613 8742 2200 8834 x +2787 8928 3327 8928 x +4713 8928 5488 8327 x +6264 7726 6264 6670 x +6264 5893 5821 5401 x +5380 4908 4560 4756 x +5496 4592 5988 4007 x +6480 3422 6480 2470 x +6480 1195 5658 525 x +4837 -144 3272 -144 x +2604 -144 1957 -32 x +1310 77 720 288 x +720 1872 l +1278 1625 1923 1496 x +2570 1368 3281 1368 x +3993 1368 4408 1690 x +4824 2014 4824 2561 x +4824 3232 4410 3595 x +3996 3960 3240 3960 x 7200 fwd_x end_ol } def /JAA { start_ol -2664 6264 m -4608 6264 l -4608 4104 l -2664 4104 l -2664 6264 l -2664 2160 m -4608 2160 l -4608 0 l -2664 0 l -2664 2160 l -7200 fwd_x -end_ol - } def -/KAA { start_ol 2880 4388 m 2880 4695 3088 4903 x 3296 5112 3596 5112 x @@ -409,29 +410,128 @@ end_ol 2155 -144 1437 988 x 720 2122 720 4388 x 7200 fwd_x +end_ol + } def +/KAA { start_ol +1224 216 m +1224 1800 l +1680 1505 2100 1364 x +2520 1224 2908 1224 x +3828 1224 4311 1847 x +4794 2470 4824 3710 x +4549 3331 4122 3141 x +3695 2952 3110 2952 x +1935 2952 1291 3703 x +648 4456 648 5836 x +648 7311 1371 8119 x +2095 8928 3420 8928 x +5026 8928 5753 7857 x +6480 6786 6480 4397 x +6480 2127 5596 991 x +4714 -144 2948 -144 x +2539 -144 2103 -51 x +1668 39 1224 216 x +3465 4392 m +4018 4392 4313 4808 x +4608 5224 4608 6015 x +4608 6799 4313 7215 x +4018 7632 3465 7632 x +2904 7632 2604 7215 x +2304 6799 2304 6015 x +2304 5230 2604 4810 x +2904 4392 3465 4392 x +7200 fwd_x end_ol } def /LAA { start_ol -4104 6854 m -1857 3384 l -4104 3384 l -4104 6854 l -3929 8784 m -5760 8784 l -5760 3384 l -6696 3384 l -6696 1872 l -5760 1872 l -5760 0 l -4104 0 l -4104 1872 l -576 1872 l -576 3560 l -3929 8784 l +2664 6264 m +4608 6264 l +4608 4104 l +2664 4104 l +2664 6264 l +2664 2160 m +4608 2160 l +4608 0 l +2664 0 l +2664 2160 l 7200 fwd_x end_ol } def /MAA { start_ol +1152 8784 m +5976 8784 l +5976 7272 l +2592 7272 l +2592 5602 l +2803 5684 3044 5721 x +3285 5760 3555 5760 x +4858 5760 5668 4943 x +6480 4126 6480 2819 x +6480 1449 5596 652 x +4713 -144 3190 -144 x +2623 -144 2044 -54 x +1465 36 864 216 x +864 1800 l +1359 1548 1881 1422 x +2403 1296 2927 1296 x +3857 1296 4340 1684 x +4824 2072 4824 2813 x +4824 3496 4342 3908 x +3861 4320 3060 4320 x +2587 4320 2111 4212 x +1636 4104 1152 3888 x +1152 8784 l +7200 fwd_x +end_ol + } def +/NAA { start_ol +1080 1512 m +3024 1512 l +3024 7200 l +1224 6768 l +1224 8352 l +3021 8784 l +4680 8784 l +4680 1512 l +6624 1512 l +6624 0 l +1080 0 l +1080 1512 l +7200 fwd_x +end_ol + } def +/OAA { start_ol +3810 4464 m +3251 4464 2957 4047 x +2664 3631 2664 2840 x +2664 2056 2957 1640 x +3251 1224 3810 1224 x +4368 1224 4667 1640 x +4968 2056 4968 2840 x +4968 3625 4667 4044 x +4368 4464 3810 4464 x +6048 8568 m +6048 6984 l +5591 7272 5171 7416 x +4752 7560 4363 7560 x +3438 7560 2954 6933 x +2471 6306 2448 5081 x +2722 5456 3148 5644 x +3576 5832 4155 5832 x +5337 5832 5980 5081 x +6624 4332 6624 2955 x +6624 1479 5897 667 x +5170 -144 3852 -144 x +2245 -144 1518 927 x +792 1999 792 4388 x +792 6661 1674 7794 x +2557 8928 4323 8928 x +4732 8928 5168 8838 x +5603 8748 6048 8568 x +7200 fwd_x +end_ol + } def +/PAA { start_ol 3668 7344 m 2995 7344 2685 6645 x 2376 5947 2376 4388 x @@ -453,7 +553,7 @@ end_ol 7200 fwd_x end_ol } def -/NAA { start_ol +/QAA { start_ol 4032 8424 m 4032 6552 l 6264 6552 l @@ -476,7 +576,7 @@ end_ol 7200 fwd_x end_ol } def -/OAA { start_ol +/RAA { start_ol 6264 4213 m 6264 0 l 4536 0 l @@ -497,7 +597,29 @@ end_ol 7200 fwd_x end_ol } def -/PAA { start_ol +/SAA { start_ol +3632 5328 m +3012 5328 2658 4785 x +2304 4243 2304 3276 x +2304 2308 2658 1766 x +3012 1224 3632 1224 x +4259 1224 4613 1766 x +4968 2308 4968 3276 x +4968 4243 4613 4785 x +4259 5328 3632 5328 x +576 3276 m +576 4852 1405 5773 x +2234 6696 3632 6696 x +5037 6696 5866 5773 x +6696 4852 6696 3276 x +6696 1699 5866 777 x +5037 -144 3632 -144 x +2234 -144 1405 777 x +576 1699 576 3276 x +7200 fwd_x +end_ol + } def +/TAA { start_ol 648 3271 m 648 8784 l 2376 8784 l @@ -516,7 +638,7 @@ end_ol 7200 fwd_x end_ol } def -/QAA { start_ol +/UAA { start_ol 2304 2729 m 2304 7848 l 576 7848 l @@ -533,7 +655,7 @@ end_ol 7200 fwd_x end_ol } def -/RAA { start_ol +/VAA { start_ol 1296 6552 m 4680 6552 l 4680 1296 l @@ -553,7 +675,7 @@ end_ol 7200 fwd_x end_ol } def -/SAA { start_ol +/WAA { start_ol 6264 360 m 5828 108 5328 -18 x 4827 -144 4251 -144 x @@ -576,7 +698,7 @@ end_ol 7200 fwd_x end_ol } def -/TAA { start_ol +/XAA { start_ol 6336 288 m 5923 72 5469 -36 x 5016 -144 4515 -144 x @@ -599,7 +721,7 @@ end_ol 7200 fwd_x end_ol } def -/UAA { start_ol +/YAA { start_ol 2592 959 m 2592 -2520 l 864 -2520 l @@ -626,7 +748,7 @@ end_ol 7200 fwd_x end_ol } def -/VAA { start_ol +/ZAA { start_ol 792 8784 m 6336 8784 l 6336 7554 l @@ -638,7 +760,7 @@ end_ol 7200 fwd_x end_ol } def -/WAA { start_ol +/aAA { start_ol 4136 8640 m 3579 6408 l 4771 6408 l @@ -676,7 +798,7 @@ end_ol 7200 fwd_x end_ol } def -/XAA { start_ol +/bAA { start_ol 2664 7344 m 2664 4752 l 3369 4752 l @@ -698,7 +820,7 @@ end_ol 7200 fwd_x end_ol } def -/YAA { start_ol +/cAA { start_ol 4680 3351 m 4680 4214 4351 4735 x 4023 5256 3486 5256 x @@ -733,33 +855,7 @@ end_ol 7200 fwd_x end_ol } def -/ZAA { start_ol -6480 360 m -5883 108 5263 -18 x -4644 -144 3954 -144 x -2311 -144 1443 731 x -576 1606 576 3252 x -576 4846 1413 5771 x -2251 6696 3697 6696 x -5157 6696 5962 5823 x -6768 4950 6768 3364 x -6768 2664 l -2304 2664 l -2309 1938 2760 1580 x -3213 1224 4110 1224 x -4702 1224 5277 1396 x -5852 1569 6480 1944 x -6480 360 l -5040 3960 m -5028 4635 4695 4981 x -4363 5328 3717 5328 x -3133 5328 2786 4970 x -2440 4612 2376 3954 x -5040 3960 l -7200 fwd_x -end_ol - } def -/aAA { start_ol +/dAA { start_ol 3852 1647 m 1458 1647 l 972 369 l @@ -792,7 +888,7 @@ end_ol 5400 fwd_x end_ol } def -/bAA { start_ol +/eAA { start_ol 2884 3519 m 2722 3519 2574 3486 x 2426 3454 2296 3386 x @@ -833,7 +929,7 @@ end_ol 5400 fwd_x end_ol } def -/cAA { start_ol +/fAA { start_ol 3960 2995 m 3960 3744 l 4808 3744 l @@ -868,7 +964,7 @@ end_ol 5400 fwd_x end_ol } def -/dAA { start_ol +/gAA { start_ol 3960 0 m 3960 592 l 3211 -144 2340 -144 x @@ -896,7 +992,7 @@ end_ol 5400 fwd_x end_ol } def -/eAA { start_ol +/hAA { start_ol 2889 5409 m 2889 369 l 4298 369 l @@ -914,7 +1010,7 @@ end_ol 5400 fwd_x end_ol } def -/fAA { start_ol +/iAA { start_ol 1123 3411 m 1123 3609 1729 3748 x 2335 3888 2674 3888 x @@ -951,7 +1047,7 @@ end_ol 5400 fwd_x end_ol } def -/gAA { start_ol +/jAA { start_ol 4689 3088 m 4644 3088 4410 3285 x 4176 3483 3951 3483 x @@ -980,7 +1076,7 @@ end_ol 5400 fwd_x end_ol } def -/iAA { start_ol +/lAA { start_ol 1017 3744 m 1017 3276 l 1237 3610 1450 3748 x @@ -1023,7 +1119,7 @@ end_ol 5400 fwd_x end_ol } def -/jAA { start_ol +/mAA { start_ol 2704 3888 m 3570 3888 4165 3297 x 4761 2706 4761 1849 x @@ -1045,7 +1141,7 @@ end_ol 5400 fwd_x end_ol } def -/kAA { start_ol +/nAA { start_ol 4680 1800 m 936 1800 l 1035 1084 1530 654 x @@ -1072,7 +1168,7 @@ end_ol 5400 fwd_x end_ol } def -/lAA { start_ol +/oAA { start_ol 1665 3744 m 3588 3744 l 3825 3744 3825 3564 x @@ -1102,7 +1198,7 @@ end_ol 5400 fwd_x end_ol } def -/mAA { start_ol +/pAA { start_ol 4032 1054 m 4032 1387 3744 1567 x 3456 1747 3024 1813 x @@ -1144,7 +1240,7 @@ end_ol 5400 fwd_x end_ol } def -/nAA { start_ol +/qAA { start_ol 2538 10 m 846 3375 l 702 3375 l @@ -1175,7 +1271,7 @@ end_ol 5400 fwd_x end_ol } def -/oAA { start_ol +/rAA { start_ol 2889 3744 m 2889 369 l 4298 369 l @@ -1198,7 +1294,7 @@ end_ol 5400 fwd_x end_ol } def -/pAA { start_ol +/sAA { start_ol 1305 3744 m 1305 3004 l 1660 3483 2023 3685 x @@ -1233,7 +1329,7 @@ end_ol 5400 fwd_x end_ol } def -/qAA { start_ol +/tAA { start_ol 4545 5409 m 4545 369 l 5025 369 l @@ -1264,7 +1360,7 @@ end_ol 5400 fwd_x end_ol } def -/rAA { start_ol +/uAA { start_ol 3960 2598 m 3960 3004 3655 3261 x 3350 3519 2857 3519 x @@ -1301,7 +1397,7 @@ end_ol 5400 fwd_x end_ol } def -/tAA { start_ol +/wAA { start_ol 3388 6297 m 3388 -1076 l 2030 -1076 l @@ -1310,7 +1406,7 @@ end_ol 5400 fwd_x end_ol } def -/uAA { start_ol +/xAA { start_ol 3108 1656 m 3521 1656 3920 2098 x 4320 2541 4320 3153 x @@ -1365,7 +1461,7 @@ end_ol 5400 fwd_x end_ol } def -/vAA { start_ol +/yAA { start_ol 1424 -571 m 3063 2711 l 1428 5998 l @@ -1376,7 +1472,7 @@ end_ol 5400 fwd_x end_ol } def -/wAA { start_ol +/zAA { start_ol 4698 3024 m 702 3024 l 459 3024 459 3213 x @@ -1394,7 +1490,7 @@ end_ol 5400 fwd_x end_ol } def -/xAA { start_ol +/ABA { start_ol 2889 5535 m 2889 369 l 4095 369 l @@ -1415,7 +1511,7 @@ end_ol 5400 fwd_x end_ol } def -/yAA { start_ol +/BBA { start_ol 2736 -630 m 2736 -1080 l -2664 -1080 l @@ -1424,7 +1520,7 @@ end_ol 0 fwd_x end_ol } def -/zAA { start_ol +/CBA { start_ol 4509 2304 m 891 2304 l 648 2304 648 2493 x @@ -1435,7 +1531,7 @@ end_ol 5400 fwd_x end_ol } def -/ABA { start_ol +/DBA { start_ol 936 4223 m 936 4627 1431 5089 x 1927 5553 2628 5553 x @@ -1465,7 +1561,7 @@ end_ol 5400 fwd_x end_ol } def -/BBA { start_ol +/EBA { start_ol 4401 3150 m 4401 2250 l 4401 1188 3929 522 x @@ -1491,7 +1587,7 @@ end_ol 5400 fwd_x end_ol } def -/CBA { start_ol +/FBA { start_ol 2889 2376 m 2889 597 l 2889 360 2709 360 x @@ -1512,7 +1608,7 @@ end_ol 5400 fwd_x end_ol } def -/DBA { start_ol +/GBA { start_ol 4545 490 m 4545 415 4410 273 x 4275 131 3982 -5 x @@ -1536,7 +1632,7 @@ end_ol 5400 fwd_x end_ol } def -/EBA { start_ol +/HBA { start_ol 1143 2817 m 1638 891 l 3438 6300 l @@ -1553,7 +1649,7 @@ end_ol 5400 fwd_x end_ol } def -/FBA { start_ol +/IBA { start_ol 1521 2079 m 1521 369 l 2718 369 l @@ -1584,7 +1680,7 @@ end_ol 5400 fwd_x end_ol } def -/GBA { start_ol +/JBA { start_ol 1305 5409 m 1305 2959 l 1953 3888 2902 3888 x @@ -1615,7 +1711,7 @@ end_ol 5400 fwd_x end_ol } def -/HBA { start_ol +/KBA { start_ol 4648 4968 m 4630 4968 4428 4986 x 4225 5004 3939 5022 x @@ -1649,7 +1745,7 @@ end_ol 5400 fwd_x end_ol } def -/IBA { start_ol +/LBA { start_ol 3114 270 m 3375 270 3604 306 x 3834 342 4014 394 x @@ -1681,7 +1777,7 @@ end_ol 5976 fwd_x end_ol } def -/JBA { start_ol +/MBA { start_ol 1656 5799 m 1656 6034 1945 6311 x 2234 6588 2641 6588 x @@ -1709,7 +1805,7 @@ end_ol 5400 fwd_x end_ol } def -/KBA { start_ol +/NBA { start_ol 1224 4750 m 1314 4777 1593 4908 x 1872 5040 2146 5112 x @@ -1745,7 +1841,7 @@ end_ol 5400 fwd_x end_ol } def -/LBA { start_ol +/OBA { start_ol 2889 369 m 3805 369 l 4041 369 4041 189 x @@ -1771,7 +1867,7 @@ end_ol 5400 fwd_x end_ol } def -/MBA { start_ol +/PBA { start_ol -2727 5733 m -1539 4761 l -1422 4662 -1422 4572 x @@ -1788,7 +1884,7 @@ end_ol 0 fwd_x end_ol } def -/NBA { start_ol +/QBA { start_ol 3969 0 m 3520 0 l 2703 2324 l @@ -1818,7 +1914,7 @@ end_ol 5400 fwd_x end_ol } def -/OBA { start_ol +/RBA { start_ol 3024 0 m 2394 0 l 882 3375 l @@ -1843,7 +1939,7 @@ end_ol 5400 fwd_x end_ol } def -/PBA { start_ol +/SBA { start_ol 4833 776 m 4833 697 4680 551 x 4527 405 4280 245 x @@ -1873,7 +1969,7 @@ end_ol 5400 fwd_x end_ol } def -/QBA { start_ol +/TBA { start_ol 2961 1966 m 4617 369 l 4698 369 l @@ -1914,7 +2010,7 @@ end_ol 5400 fwd_x end_ol } def -/RBA { start_ol +/UBA { start_ol 2637 1035 m 2727 1035 l 2988 1035 3168 868 x @@ -1929,7 +2025,7 @@ end_ol 5400 fwd_x end_ol } def -/SBA { start_ol +/VBA { start_ol 4176 3004 m 4176 3744 l 5024 3744 l @@ -1963,7 +2059,7 @@ end_ol 5400 fwd_x end_ol } def -/UBA { start_ol +/XBA { start_ol 2664 2187 m 2664 2853 2926 3649 x 3189 4446 3481 4941 x @@ -1984,7 +2080,7 @@ end_ol 5400 fwd_x end_ol } def -/VBA { start_ol +/YBA { start_ol 1368 -936 m 1368 -837 1501 -571 x 1636 -306 1800 13 x @@ -2005,7 +2101,7 @@ end_ol 5400 fwd_x end_ol } def -/WBA { start_ol +/ZBA { start_ol 3960 2598 m 3960 3004 3655 3261 x 3350 3519 2857 3519 x @@ -2052,7 +2148,7 @@ end_ol 5400 fwd_x end_ol } def -/YBA { start_ol +/bBA { start_ol 1872 1314 m 3069 1314 l 1764 -1071 l @@ -2064,7 +2160,7 @@ end_ol 5400 fwd_x end_ol } def -/ZBA { start_ol +/cBA { start_ol 1521 2448 m 1521 369 l 2718 369 l @@ -2097,7 +2193,7 @@ end_ol 5400 fwd_x end_ol } def -/aBA { start_ol +/dBA { start_ol 3555 0 m 3276 432 l 2871 -144 2268 -144 x @@ -2141,7 +2237,7 @@ end_ol 5400 fwd_x end_ol } def -/bBA { start_ol +/eBA { start_ol 4419 5112 m 4392 5112 4242 5148 x 4093 5184 3841 5184 x @@ -2178,7 +2274,7 @@ end_ol 5400 fwd_x end_ol } def -/cBA { start_ol +/fBA { start_ol 4176 1368 m 4176 1742 3946 1974 x 3717 2207 3377 2282 x @@ -2221,7 +2317,7 @@ end_ol 5400 fwd_x end_ol } def -/dBA { start_ol +/gBA { start_ol 4135 5886 m 5079 5886 5729 5537 x 6381 5188 6381 4527 x @@ -2262,7 +2358,7 @@ end_ol 5904 fwd_x end_ol } def -/eBA { start_ol +/hBA { start_ol 2520 7200 m 2889 7200 l 2889 -1800 l @@ -2271,7 +2367,7 @@ end_ol 5400 fwd_x end_ol } def -/fBA { start_ol +/iBA { start_ol 3994 -571 m 3058 -571 l 1424 2711 l @@ -2282,7 +2378,7 @@ end_ol 5400 fwd_x end_ol } def -/gBA { start_ol +/jBA { start_ol 4663 6174 m 3465 4527 3465 2403 x 3465 -1800 l @@ -2296,7 +2392,7 @@ end_ol 5400 fwd_x end_ol } def -/hBA { start_ol +/kBA { start_ol 736 6174 m 711 6210 711 6282 x 711 6354 768 6408 x @@ -2312,7 +2408,7 @@ end_ol 5400 fwd_x end_ol } def -/iBA { start_ol +/lBA { start_ol 4663 -774 m 4689 -810 4689 -882 x 4689 -954 4630 -1008 x @@ -2328,7 +2424,7 @@ end_ol 5400 fwd_x end_ol } def -/jBA { start_ol +/mBA { start_ol 736 -774 m 1935 873 1935 2997 x 1935 7200 l @@ -2342,7 +2438,7 @@ end_ol 5400 fwd_x end_ol } def -/kBA { start_ol +/nBA { start_ol 2025 4671 m 2025 369 l 4536 369 l @@ -2365,7 +2461,7 @@ end_ol 5400 fwd_x end_ol } def -/lBA { start_ol +/oBA { start_ol 2142 5409 m 3294 5409 l 2988 3132 l @@ -2375,7 +2471,7 @@ end_ol 5400 fwd_x end_ol } def -/mBA { start_ol +/pBA { start_ol 2889 4671 m 2889 369 l 4087 369 l @@ -2396,7 +2492,7 @@ end_ol 5400 fwd_x end_ol } def -/nBA { start_ol +/qBA { start_ol 1521 2448 m 1521 369 l 4320 369 l @@ -2431,7 +2527,7 @@ end_ol 5400 fwd_x end_ol } def -/oBA { start_ol +/rBA { start_ol 2637 1035 m 2727 1035 l 2988 1035 3168 868 x @@ -2457,7 +2553,7 @@ end_ol 5400 fwd_x end_ol } def -/pBA { start_ol +/sBA { start_ol 2448 5445 m 3573 5445 l 2340 3294 l @@ -2469,7 +2565,7 @@ end_ol 5400 fwd_x end_ol } def -/qBA { start_ol +/tBA { start_ol 1377 4720 m 1377 4426 1746 4233 x 2116 4041 2688 4041 x @@ -2511,7 +2607,7 @@ end_ol 5400 fwd_x end_ol } def -/rBA { start_ol +/uBA { start_ol 2830 981 m 2830 678 2953 522 x 3075 365 3322 365 x @@ -2528,7 +2624,7 @@ end_ol 5400 fwd_x end_ol } def -/sBA { start_ol +/vBA { start_ol 2860 2458 m 2953 2638 3098 2721 x 3243 2804 3449 2804 x @@ -2560,7 +2656,7 @@ end_ol 5400 fwd_x end_ol } def -/tBA { start_ol +/wBA { start_ol 2844 6552 m 2844 3708 l 3461 3708 l @@ -2580,7 +2676,7 @@ end_ol 5400 fwd_x end_ol } def -/uBA { start_ol +/xBA { start_ol 4356 5697 m 1377 -567 l 1298 -729 1183 -729 x @@ -2595,7 +2691,7 @@ end_ol 5400 fwd_x end_ol } def -/vBA { start_ol +/yBA { start_ol 2871 1521 m 2871 -1323 l 3488 -1323 l @@ -2615,7 +2711,7 @@ end_ol 5400 fwd_x end_ol } def -/wBA { start_ol +/zBA { start_ol 3663 171 m 3663 -351 l 3663 -972 3395 -1350 x @@ -2643,7 +2739,7 @@ end_ol 5400 fwd_x end_ol } def -/xBA { start_ol +/ACA { start_ol 3024 6255 m 2070 4644 l 3024 4644 l @@ -2674,7 +2770,7 @@ end_ol 5400 fwd_x end_ol } def -/yBA { start_ol +/BCA { start_ol 1287 3627 m 1287 3582 1395 3388 x 1503 3195 1503 3042 x @@ -2717,7 +2813,7 @@ end_ol 4536 fwd_x end_ol } def -/zBA { start_ol +/CCA { start_ol 4353 4325 m 1179 568 l 1089 459 1017 459 x @@ -2772,7 +2868,7 @@ end_ol 5400 fwd_x end_ol } def -/ACA { start_ol +/DCA { start_ol 4473 0 m 4006 0 l 1305 4510 l @@ -2802,7 +2898,7 @@ end_ol 5400 fwd_x end_ol } def -/BCA { start_ol +/ECA { start_ol 4257 3744 m 4257 3420 l 1573 369 l @@ -2823,7 +2919,7 @@ end_ol 5400 fwd_x end_ol } def -/CCA { start_ol +/FCA { start_ol 2358 2666 m 2358 2445 2137 2128 x 1917 1811 1917 1802 x @@ -2875,7 +2971,7 @@ end_ol 3888 fwd_x end_ol } def -/DCA { start_ol +/GCA { start_ol 1665 1616 m 1665 0 l 816 0 l @@ -2910,7 +3006,7 @@ end_ol 5400 fwd_x end_ol } def -/ECA { start_ol +/HCA { start_ol 1899 6120 m 1899 3726 l 2381 4230 3010 4230 x @@ -2936,7 +3032,7 @@ end_ol 5040 fwd_x end_ol } def -/FCA { start_ol +/ICA { start_ol 3117 5040 m 3699 4792 3699 4289 x 3699 3911 3412 3647 x @@ -2971,7 +3067,7 @@ end_ol 5400 fwd_x end_ol } def -/GCA { start_ol +/JCA { start_ol 3960 2448 m 1521 2448 l 1521 369 l @@ -3012,7 +3108,7 @@ end_ol 5400 fwd_x end_ol } def -/HCA { start_ol +/KCA { start_ol 4509 2889 m 5409 2889 l 5409 2520 l @@ -3027,7 +3123,7 @@ end_ol 5400 fwd_x end_ol } def -/ICA { start_ol +/LCA { start_ol 0 2889 m 5400 2889 l 5400 2520 l @@ -3036,7 +3132,7 @@ end_ol 5400 fwd_x end_ol } def -/JCA { start_ol +/MCA { start_ol 0 2889 m 5409 2889 l 5409 2520 l @@ -3049,7 +3145,7 @@ end_ol 5400 fwd_x end_ol } def -/KCA { start_ol +/NCA { start_ol 900 2889 m 1953 2889 2421 2421 x 2889 1953 2889 900 x @@ -3064,7 +3160,7 @@ end_ol 5400 fwd_x end_ol } def -/LCA { start_ol +/OCA { start_ol 3396 2848 m 4401 2381 4401 1458 x 4401 793 3908 324 x @@ -3099,34 +3195,611 @@ end_ol 5400 fwd_x end_ol } def -/MCA { start_ol -432 4545 m -4977 4545 l -4977 0 l +/PCA { start_ol +4968 0 m +5400 0 l +5400 -432 l +4968 -432 l +4968 0 l +4968 -936 m +5400 -936 l +5400 -1368 l +4968 -1368 l +4968 -936 l +4968 864 m +5400 864 l +5400 432 l +4968 432 l +4968 864 l +4968 1800 m +5400 1800 l +5400 1368 l +4968 1368 l +4968 1800 l +4968 2664 m +5400 2664 l +5400 2232 l +4968 2232 l +4968 2664 l +4968 3600 m +5400 3600 l +5400 3168 l +4968 3168 l +4968 3600 l +4968 4464 m +5400 4464 l +5400 4032 l +4968 4032 l +4968 4464 l +4968 5400 m +5400 5400 l +5400 4968 l +4968 4968 l +4968 5400 l +4968 6264 m +5400 6264 l +5400 5832 l +4968 5832 l +4968 6264 l +4968 7209 m +5391 7209 l +5391 6768 l +4968 6768 l +4968 7209 l +4536 -432 m +4968 -432 l +4968 -864 l +4536 -864 l +4536 -432 l +4536 -1368 m +4968 -1368 l +4968 -1800 l +4536 -1800 l +4536 -1368 l +4536 432 m +4968 432 l +4968 0 l +4536 0 l +4536 432 l +4536 1368 m +4968 1368 l +4968 936 l +4536 936 l +4536 1368 l +4536 2232 m +4968 2232 l +4968 1800 l +4536 1800 l +4536 2232 l +4536 3168 m +4968 3168 l +4968 2736 l +4536 2736 l +4536 3168 l +4536 4032 m +4968 4032 l +4968 3600 l +4536 3600 l +4536 4032 l +4536 4968 m +4968 4968 l +4968 4536 l +4536 4536 l +4536 4968 l +4536 5832 m +4968 5832 l +4968 5400 l +4536 5400 l +4536 5832 l +4536 6777 m +4959 6777 l +4959 6336 l +4536 6336 l +4536 6777 l +4032 0 m +4464 0 l +4464 -432 l +4032 -432 l +4032 0 l +4032 -936 m +4464 -936 l +4464 -1368 l +4032 -1368 l +4032 -936 l +4032 864 m +4464 864 l +4464 432 l +4032 432 l +4032 864 l +4032 1800 m +4464 1800 l +4464 1368 l +4032 1368 l +4032 1800 l +4032 2664 m +4464 2664 l +4464 2232 l +4032 2232 l +4032 2664 l +4032 3600 m +4464 3600 l +4464 3168 l +4032 3168 l +4032 3600 l +4032 4464 m +4464 4464 l +4464 4032 l +4032 4032 l +4032 4464 l +4032 5400 m +4464 5400 l +4464 4968 l +4032 4968 l +4032 5400 l +4032 6264 m +4464 6264 l +4464 5832 l +4032 5832 l +4032 6264 l +4032 7209 m +4455 7209 l +4455 6768 l +4032 6768 l +4032 7209 l +3600 -432 m +4032 -432 l +4032 -864 l +3600 -864 l +3600 -432 l +3600 -1368 m +4032 -1368 l +4032 -1800 l +3600 -1800 l +3600 -1368 l +3600 432 m +4032 432 l +4032 0 l +3600 0 l +3600 432 l +3600 1368 m +4032 1368 l +4032 936 l +3600 936 l +3600 1368 l +3600 2232 m +4032 2232 l +4032 1800 l +3600 1800 l +3600 2232 l +3600 3168 m +4032 3168 l +4032 2736 l +3600 2736 l +3600 3168 l +3600 4032 m +4032 4032 l +4032 3600 l +3600 3600 l +3600 4032 l +3600 4968 m +4032 4968 l +4032 4536 l +3600 4536 l +3600 4968 l +3600 5832 m +4032 5832 l +4032 5400 l +3600 5400 l +3600 5832 l +3600 6777 m +4023 6777 l +4023 6336 l +3600 6336 l +3600 6777 l +3168 0 m +3600 0 l +3600 -432 l +3168 -432 l +3168 0 l +3168 -936 m +3600 -936 l +3600 -1368 l +3168 -1368 l +3168 -936 l +3168 864 m +3600 864 l +3600 432 l +3168 432 l +3168 864 l +3168 1800 m +3600 1800 l +3600 1368 l +3168 1368 l +3168 1800 l +3168 2664 m +3600 2664 l +3600 2232 l +3168 2232 l +3168 2664 l +3168 3600 m +3600 3600 l +3600 3168 l +3168 3168 l +3168 3600 l +3168 4464 m +3600 4464 l +3600 4032 l +3168 4032 l +3168 4464 l +3168 5400 m +3600 5400 l +3600 4968 l +3168 4968 l +3168 5400 l +3168 6264 m +3600 6264 l +3600 5832 l +3168 5832 l +3168 6264 l +3168 7209 m +3591 7209 l +3591 6768 l +3168 6768 l +3168 7209 l +2736 -432 m +3168 -432 l +3168 -864 l +2736 -864 l +2736 -432 l +2736 -1368 m +3168 -1368 l +3168 -1800 l +2736 -1800 l +2736 -1368 l +2736 432 m +3168 432 l +3168 0 l +2736 0 l +2736 432 l +2736 1368 m +3168 1368 l +3168 936 l +2736 936 l +2736 1368 l +2736 2232 m +3168 2232 l +3168 1800 l +2736 1800 l +2736 2232 l +2736 3168 m +3168 3168 l +3168 2736 l +2736 2736 l +2736 3168 l +2736 4032 m +3168 4032 l +3168 3600 l +2736 3600 l +2736 4032 l +2736 4968 m +3168 4968 l +3168 4536 l +2736 4536 l +2736 4968 l +2736 5832 m +3168 5832 l +3168 5400 l +2736 5400 l +2736 5832 l +2736 6777 m +3159 6777 l +3159 6336 l +2736 6336 l +2736 6777 l +2232 0 m +2664 0 l +2664 -432 l +2232 -432 l +2232 0 l +2232 -936 m +2664 -936 l +2664 -1368 l +2232 -1368 l +2232 -936 l +2232 864 m +2664 864 l +2664 432 l +2232 432 l +2232 864 l +2232 1800 m +2664 1800 l +2664 1368 l +2232 1368 l +2232 1800 l +2232 2664 m +2664 2664 l +2664 2232 l +2232 2232 l +2232 2664 l +2232 3600 m +2664 3600 l +2664 3168 l +2232 3168 l +2232 3600 l +2232 4464 m +2664 4464 l +2664 4032 l +2232 4032 l +2232 4464 l +2232 5400 m +2664 5400 l +2664 4968 l +2232 4968 l +2232 5400 l +2232 6264 m +2664 6264 l +2664 5832 l +2232 5832 l +2232 6264 l +2232 7209 m +2655 7209 l +2655 6768 l +2232 6768 l +2232 7209 l +1800 -432 m +2232 -432 l +2232 -864 l +1800 -864 l +1800 -432 l +1800 -1368 m +2232 -1368 l +2232 -1800 l +1800 -1800 l +1800 -1368 l +1800 432 m +2232 432 l +2232 0 l +1800 0 l +1800 432 l +1800 1368 m +2232 1368 l +2232 936 l +1800 936 l +1800 1368 l +1800 2232 m +2232 2232 l +2232 1800 l +1800 1800 l +1800 2232 l +1800 3168 m +2232 3168 l +2232 2736 l +1800 2736 l +1800 3168 l +1800 4032 m +2232 4032 l +2232 3600 l +1800 3600 l +1800 4032 l +1800 4968 m +2232 4968 l +2232 4536 l +1800 4536 l +1800 4968 l +1800 5832 m +2232 5832 l +2232 5400 l +1800 5400 l +1800 5832 l +1800 6777 m +2223 6777 l +2223 6336 l +1800 6336 l +1800 6777 l +1368 0 m +1800 0 l +1800 -432 l +1368 -432 l +1368 0 l +1368 -936 m +1800 -936 l +1800 -1368 l +1368 -1368 l +1368 -936 l +1368 864 m +1800 864 l +1800 432 l +1368 432 l +1368 864 l +1368 1800 m +1800 1800 l +1800 1368 l +1368 1368 l +1368 1800 l +1368 2664 m +1800 2664 l +1800 2232 l +1368 2232 l +1368 2664 l +1368 3600 m +1800 3600 l +1800 3168 l +1368 3168 l +1368 3600 l +1368 4464 m +1800 4464 l +1800 4032 l +1368 4032 l +1368 4464 l +1368 5400 m +1800 5400 l +1800 4968 l +1368 4968 l +1368 5400 l +1368 6264 m +1800 6264 l +1800 5832 l +1368 5832 l +1368 6264 l +1368 7209 m +1791 7209 l +1791 6768 l +1368 6768 l +1368 7209 l +936 -432 m +1368 -432 l +1368 -864 l +936 -864 l +936 -432 l +936 -1368 m +1368 -1368 l +1368 -1800 l +936 -1800 l +936 -1368 l +936 432 m +1368 432 l +1368 0 l +936 0 l +936 432 l +936 1368 m +1368 1368 l +1368 936 l +936 936 l +936 1368 l +936 2232 m +1368 2232 l +1368 1800 l +936 1800 l +936 2232 l +936 3168 m +1368 3168 l +1368 2736 l +936 2736 l +936 3168 l +936 4032 m +1368 4032 l +1368 3600 l +936 3600 l +936 4032 l +936 4968 m +1368 4968 l +1368 4536 l +936 4536 l +936 4968 l +936 5832 m +1368 5832 l +1368 5400 l +936 5400 l +936 5832 l +936 6777 m +1359 6777 l +1359 6336 l +936 6336 l +936 6777 l +0 432 m +432 432 l 432 0 l -432 4545 l -3112 4176 m -4608 2680 l -4608 4176 l -3112 4176 l -2596 4176 m -1055 4176 l -4608 623 l -4608 2164 l -2596 4176 l -801 2380 m -2812 369 l -4353 369 l -801 3921 l -801 2380 l -801 1864 m -801 369 l -2296 369 l -801 1864 l +0 0 l +0 432 l +432 0 m +864 0 l +864 -432 l +432 -432 l +432 0 l +432 -936 m +864 -936 l +864 -1368 l +432 -1368 l +432 -936 l +0 -432 m +432 -432 l +432 -864 l +0 -864 l +0 -432 l +0 -1368 m +432 -1368 l +432 -1809 l +0 -1809 l +0 -1368 l +432 864 m +864 864 l +864 432 l +432 432 l +432 864 l +0 1368 m +432 1368 l +432 936 l +0 936 l +0 1368 l +432 1800 m +864 1800 l +864 1368 l +432 1368 l +432 1800 l +0 2232 m +432 2232 l +432 1800 l +0 1800 l +0 2232 l +432 2664 m +864 2664 l +864 2232 l +432 2232 l +432 2664 l +0 3168 m +432 3168 l +432 2736 l +0 2736 l +0 3168 l +432 3600 m +864 3600 l +864 3168 l +432 3168 l +432 3600 l +0 4032 m +432 4032 l +432 3600 l +0 3600 l +0 4032 l +432 4464 m +864 4464 l +864 4032 l +432 4032 l +432 4464 l +0 4968 m +432 4968 l +432 4536 l +0 4536 l +0 4968 l +432 5400 m +864 5400 l +864 4968 l +432 4968 l +432 5400 l +0 5832 m +432 5832 l +432 5400 l +0 5400 l +0 5832 l +432 6264 m +864 6264 l +864 5832 l +432 5832 l +432 6264 l +0 6768 m +432 6768 l +432 6336 l +0 6336 l +0 6768 l +432 7209 m +855 7209 l +855 6768 l +432 6768 l +432 7209 l 5400 fwd_x end_ol } def -/NCA { start_ol +/QCA { start_ol 2849 3168 m 2504 3168 2229 3080 x 1955 2992 1786 2900 x @@ -3159,7 +3832,7 @@ end_ol 5400 fwd_x end_ol } def -/OCA { start_ol +/RCA { start_ol 4509 2520 m 3456 2520 2988 2988 x 2520 3456 2520 4509 x @@ -3174,7 +3847,7 @@ end_ol 5400 fwd_x end_ol } def -/PCA { start_ol +/SCA { start_ol 2520 2520 m 0 2520 l 0 2889 l @@ -3191,7 +3864,7 @@ end_ol 5400 fwd_x end_ol } def -/QCA { start_ol +/TCA { start_ol 891 2511 m -9 2511 l -9 2880 l @@ -3211,109 +3884,109 @@ end end %%EndPrologue %%Page: 1 1 paps_bop -(+ 36000 807000AAABAACAA+ 64800 807000AAAEAAFAA+ 93600 807000GAAHAA+ 115200 807000HAAIAAJAAKAAKAAJAALAAKAA+ 180000 807000GAAKAAHAAIAA)paps_exec -(>4750MAANAAOAABAA+ 254300 807000PAAQAAFAARAASAAOAAJAA+ 311900 807000TAAOAAEAAUAA+ 347900 807000VAA+ 362300 807000WAAVAA)paps_exec -(* 515800XAAEAAYAAZAA+ 551800 807000HAA)paps_exec +(+ 36000 807000AAABAACAA+ 64800 807000EAAFAAGAA+ 93600 807000HAAIAA+ 115200 807000JAAKAALAAIAAMAALAAMAAKAA+ 180000 807000HAAJAANAAOAA)paps_exec +(>4750PAAQAARAASAA+ 254300 807000TAAUAAGAAVAAWAARAALAA+ 311900 807000XAARAAFAAYAA+ 347900 807000ZAA+ 362300 807000aAAZAA)paps_exec +(* 515800bAAFAAcAABAA+ 551800 807000NAA)paps_exec 36 797.000000 moveto 559 797.000000 lineto 0 setlinewidth stroke -(+ 36000 782000aAAbAAcAAdAAeAAfAAgAA+ 79200 782000iAAjAAiAAkAAbAAlAAdAAiAA+ 127800 782000mAAnAAmAAlAAkAAiAA+ 165600 782000oAAmAA+ 181800 782000pAAgAAkAApAAfAAgAAkAAqAA+ 230400 782000oAAbAA+ 246600 782000lAArAAkAA+ 268200 782000mAAlAAfAAlAAkAA)paps_exec +(+ 36000 782000dAAeAAfAAgAAhAAiAAjAA+ 79200 782000lAAmAAlAAnAAeAAoAAgAAlAA+ 127800 782000pAAqAApAAoAAnAAlAA+ 165600 782000rAApAA+ 181800 782000sAAjAAnAAsAAiAAjAAnAAtAA+ 230400 782000rAAeAA+ 246600 782000oAAuAAnAA+ 268200 782000pAAoAAiAAoAAnAA)paps_exec ()paps_exec -(+ 57600 762416tAAuAAvAA+ 79200 762416wAA+ 90000 762416xAAyAA+ 106200 762416tAAxAAxAAvAA+ 133200 762416zAA+ 144000 762416ABAyAA+ 154800 762416tAAxAABBAvAA+ 181800 762416CBA+ 192600 762416DBAyAAABAyAA+ 208800 762416tAAABAABAvAA+ 235800 762416CBA+ 246600 762416DBAxAAyAA+ 262800 762416tAAABABBAvAA)paps_exec -(+ 84600 753416EBAxAABBA+ 144000 753416EBAxAABBA+ 192600 753416EBAxAABBA+ 246600 753416EBAxAABBA)paps_exec +(+ 57600 762416wAAxAAyAA+ 79200 762416zAA+ 90000 762416ABABBA+ 106200 762416wAAABAABAyAA+ 133200 762416CBA+ 144000 762416DBABBA+ 154800 762416wAAABAEBAyAA+ 181800 762416FBA+ 192600 762416GBABBADBABBA+ 208800 762416wAADBADBAyAA+ 235800 762416FBA+ 246600 762416GBAABABBA+ 262800 762416wAADBAEBAyAA)paps_exec +(+ 84600 753416HBAABAEBA+ 144000 753416HBAABAEBA+ 192600 753416HBAABAEBA+ 246600 753416HBAABAEBA)paps_exec ()paps_exec ()paps_exec -(+ 36000 725480FBAjAAmAAmAAoAAGBAeAAkAA+ 84600 725480gAAkAAmAAdAAeAAlAAmAA+ 127800 725480jAAHBA+ 144000 725480IBAJBA+ 160776 725480iAAkAAfAAmAAdAAgAAkAAiAAkAAbAAlAAKBA)paps_exec +(+ 36000 725480IBAmAApAApAArAAJBAhAAnAA+ 84600 725480jAAnAApAAgAAhAAoAApAA+ 127800 725480mAAKBA+ 144000 725480LBAMBA+ 160776 725480lAAnAAiAApAAgAAjAAnAAlAAnAAeAAoAANBA)paps_exec ()paps_exec -(+ 36000 706544LBArAAkAA+ 57600 706544IBAMBAJBA+ 74376 706544jAApAAkAAgAAfAAlAAjAAgAA+ 122976 706544NBAfAAmAA+ 144576 706544qAAkAAOBAkAAeAAjAApAAkAAqAA+ 198576 706544oAAbAA+ 214776 706544eAAkAAPBAlAAdAAgAAkAA+ 257976 706544fAAbAAqAA+ 279576 706544oAAbAA+ 295776 706544lAArAAkAA+ 317376 706544lAAkAAQBAlAARBA+ 349776 706544LBArAAkAA+ 371376 706544gAAkAAeAAfAAlAAkAAqAA+ 414576 706544kAAoAAcAAkAAbAAOBAfAAeAAdAAkAA+ 473976 706544kAASBAdAAfAAlAAoAAjAAbAA+ 522576 706544oAAmAA)paps_exec +(+ 36000 706544OBAuAAnAA+ 57600 706544LBAPBAMBA+ 74376 706544mAAsAAnAAjAAiAAoAAmAAjAA+ 122976 706544QBAiAApAA+ 144576 706544tAAnAARBAnAAhAAmAAsAAnAAtAA+ 198576 706544rAAeAA+ 214776 706544hAAnAASBAoAAgAAjAAnAA+ 257976 706544iAAeAAtAA+ 279576 706544rAAeAA+ 295776 706544oAAuAAnAA+ 317376 706544oAAnAATBAoAAUBA+ 349776 706544OBAuAAnAA+ 371376 706544jAAnAAhAAiAAoAAnAAtAA+ 414576 706544nAArAAfAAnAAeAARBAiAAhAAgAAnAA+ 473976 706544nAAVBAgAAiAAoAArAAmAAeAA+ 522576 706544rAApAA)paps_exec ()paps_exec -(+ 44928 686960IBAMBAJBAtAAeAAiAAvAA+ 83304 686960wAA+ 94104 686960eAAUBAeAACBAxAAVBA+ 131904 686960WBAJBAtAAeAAiAAvAA)paps_exec +(+ 44928 686960LBAPBAMBAwAAhAAlAAyAA+ 83304 686960zAA+ 94104 686960hAAXBAhAAFBAABAYBA+ 131904 686960ZBAMBAwAAhAAlAAyAA)paps_exec ()paps_exec -(+ 36000 668024LBArAAkAA+ 57600 668024pAAjAAmAAmAAoAAGBAeAAkAA+ 106200 668024iAAkAAfAAmAAdAAgAAkAAiAAkAAbAAlAAmAA+ 176400 668024jAAHBA+ 192600 668024IBAMBAJBA+ 209376 668024HBAjAAgAA+ 230976 668024lAArAAoAAmAA+ 257976 668024mAAnAAmAAlAAkAAiAA+ 295776 668024fAAgAAkAA+ 317376 668024lAArAAjAAmAAkAA+ 349776 668024fAAmAAmAAjAAPBAoAAfAAlAAkAAqAA+ 409176 668024NBAoAAlAArAA+ 436176 668024lAArAAkAA+ 457776 668024oAAbAAoAAlAAoAAfAAeAA+ 500976 668024mAAlAAfAAlAAkAA)paps_exec -(+ 36000 659024OBAkAAPBAlAAjAAgAAYBA+ 79200 659024oAARBAkAARBA+ 106200 659024lAArAAkAA+ 127800 659024OBAfAAeAAdAAkAAmAA+ 165600 659024eAAiAA+ 181800 659024wAA+ 192600 659024xAAxAAYBA+ 214200 659024xAABBAYBA+ 235800 659024ABAABAYBA+ 257400 659024ABABBARBA)paps_exec +(+ 36000 668024OBAuAAnAA+ 57600 668024sAAmAApAApAArAAJBAhAAnAA+ 106200 668024lAAnAAiAApAAgAAjAAnAAlAAnAAeAAoAApAA+ 176400 668024mAAKBA+ 192600 668024LBAPBAMBA+ 209376 668024KBAmAAjAA+ 230976 668024oAAuAArAApAA+ 257976 668024pAAqAApAAoAAnAAlAA+ 295776 668024iAAjAAnAA+ 317376 668024oAAuAAmAApAAnAA+ 349776 668024iAApAApAAmAASBArAAiAAoAAnAAtAA+ 409176 668024QBArAAoAAuAA+ 436176 668024oAAuAAnAA+ 457776 668024rAAeAArAAoAArAAiAAhAA+ 500976 668024pAAoAAiAAoAAnAA)paps_exec +(+ 36000 659024RBAnAASBAoAAmAAjAAbBA+ 79200 659024rAAUBAnAAUBA+ 106200 659024oAAuAAnAA+ 127800 659024RBAiAAhAAgAAnAApAA+ 165600 659024hAAlAA+ 181800 659024zAA+ 192600 659024ABAABAbBA+ 214200 659024ABAEBAbBA+ 235800 659024DBADBAbBA+ 257400 659024DBAEBAUBA)paps_exec ()paps_exec -(+ 36000 640088ZBAjAAgAA+ 57600 640088eAAiAA+ 73800 640088wAA+ 84600 640088xAAxAA+ 100800 640088aBA+ 111600 640088xAABBAYBA+ 133200 640088IBAMBAJBA+ 149976 640088wAA+ 160776 640088ABAWBAJBA)paps_exec +(+ 36000 640088cBAmAAjAA+ 57600 640088hAAlAA+ 73800 640088zAA+ 84600 640088ABAABA+ 100800 640088dBA+ 111600 640088ABAEBAbBA+ 133200 640088LBAPBAMBA+ 149976 640088zAA+ 160776 640088DBAZBAMBA)paps_exec ()paps_exec -(+ 36000 621152ZBAjAAgAA+ 57600 621152eAAiAA+ 73800 621152wAA+ 84600 621152ABAABA+ 100800 621152aBA+ 111600 621152ABABBAYBA+ 133200 621152IBAMBAJBA+ 149976 621152wAA+ 160776 621152bBAWBAJBARBA)paps_exec +(+ 36000 621152cBAmAAjAA+ 57600 621152hAAlAA+ 73800 621152zAA+ 84600 621152DBADBA+ 100800 621152dBA+ 111600 621152DBAEBAbBA+ 133200 621152LBAPBAMBA+ 149976 621152zAA+ 160776 621152eBAZBAMBAUBA)paps_exec ()paps_exec -(+ 36000 602216cBAoAAbAAPBAkAA+ 68400 602216lAArAAkAA+ 90000 602216mAAfAAiAAkAA+ 117000 602216IBAMBAJBA+ 133776 602216oAAmAA+ 149976 602216iAAkAAfAAmAAdAAgAAkAAmAA+ 198576 602216HBAjAAgAA+ 220176 602216lAANBAjAA+ 241776 602216mAAlAAfAAlAAkAAmAAYBA+ 284976 602216lAArAAkAA+ 306576 602216mAAdAAiAA+ 328176 602216jAAHBA+ 344376 602216lAArAAkAA+ 365976 602216pAAgAAjAAGBAfAAGBAoAAeAAoAAlAAoAAkAAmAA+ 441576 602216jAAHBA+ 457776 602216iAAkAAfAAmAAdAAgAAoAAbAAcAA+ 511776 602216lAArAAjAAmAAkAA)paps_exec -(+ 36000 593216mAAlAAfAAlAAkAAmAA+ 73800 593216oAAmAA+ 90000 593216lAArAAkAA+ 111600 593216pAAgAAjAAGBAfAAGBAoAAeAAoAAlAAnAA+ 176400 593216jAAHBA+ 192600 593216iAAkAAfAAmAAdAAgAAoAAbAAcAA+ 246600 593216lAArAAfAAlAA+ 273600 593216mAASBAdAAfAAgAAkAAqAA+ 316800 593216fAAbAAcAAdAAeAAfAAgAA+ 360000 593216iAAjAAiAAkAAbAAlAAdAAiAARBA)paps_exec +(+ 36000 602216fBArAAeAASBAnAA+ 68400 602216oAAuAAnAA+ 90000 602216pAAiAAlAAnAA+ 117000 602216LBAPBAMBA+ 133776 602216rAApAA+ 149976 602216lAAnAAiAApAAgAAjAAnAApAA+ 198576 602216KBAmAAjAA+ 220176 602216oAAQBAmAA+ 241776 602216pAAoAAiAAoAAnAApAAbBA+ 284976 602216oAAuAAnAA+ 306576 602216pAAgAAlAA+ 328176 602216mAAKBA+ 344376 602216oAAuAAnAA+ 365976 602216sAAjAAmAAJBAiAAJBArAAhAArAAoAArAAnAApAA+ 441576 602216mAAKBA+ 457776 602216lAAnAAiAApAAgAAjAArAAeAAfAA+ 511776 602216oAAuAAmAApAAnAA)paps_exec +(+ 36000 593216pAAoAAiAAoAAnAApAA+ 73800 593216rAApAA+ 90000 593216oAAuAAnAA+ 111600 593216sAAjAAmAAJBAiAAJBArAAhAArAAoAAqAA+ 176400 593216mAAKBA+ 192600 593216lAAnAAiAApAAgAAjAArAAeAAfAA+ 246600 593216oAAuAAiAAoAA+ 273600 593216pAAVBAgAAiAAjAAnAAtAA+ 316800 593216iAAeAAfAAgAAhAAiAAjAA+ 360000 593216lAAmAAlAAnAAeAAoAAgAAlAAUBA)paps_exec ()paps_exec -(+ 36000 573632dBAUBAIBAMBAJBAwAAABAWBAJBAVBA+ 91080 573632wAA+ 101880 573632eBAfBAxAAxAAtAAuAAvAAeBAJBA+ 155880 573632CBA+ 166680 573632eBAfBAxAABBAtAAuAAvAAeBAJBARBA)paps_exec +(+ 36000 573632gBAXBALBAPBAMBAzAADBAZBAMBAYBA+ 91080 573632zAA+ 101880 573632hBAiBAABAABAwAAxAAyAAhBAMBA+ 155880 573632FBA+ 166680 573632hBAiBAABAEBAwAAxAAyAAhBAMBAUBA)paps_exec ()paps_exec -(+ 57600 554048fBAxAAxAAtAAuAAvAA+ 95400 554048wAA+ 106200 554048fBAxAAxAAtAAgBA+ 144000 554048xAAyAA+ 160200 554048tAAxAAxAAvAA+ 187200 554048zAA+ 198000 554048ABAyAA+ 208800 554048tAAxAABBAvAA+ 235800 554048CBA+ 246600 554048DBAyAAABAyAA+ 262800 554048tAAABAABAvAA+ 289800 554048CBA+ 300600 554048DBAxAAyAA+ 316800 554048tAAABABBAvAA+ 343800 554048hBA)paps_exec -(+ 127800 545048iBA+ 138600 545048EBAxAABBA+ 198000 545048EBAxAABBA+ 246600 545048EBAxAABBA+ 300600 545048EBAxAABBA+ 343800 545048jBARBA)paps_exec +(+ 57600 554048iBAABAABAwAAxAAyAA+ 95400 554048zAA+ 106200 554048iBAABAABAwAAjBA+ 144000 554048ABABBA+ 160200 554048wAAABAABAyAA+ 187200 554048CBA+ 198000 554048DBABBA+ 208800 554048wAAABAEBAyAA+ 235800 554048FBA+ 246600 554048GBABBADBABBA+ 262800 554048wAADBADBAyAA+ 289800 554048FBA+ 300600 554048GBAABABBA+ 316800 554048wAADBAEBAyAA+ 343800 554048kBA)paps_exec +(+ 127800 545048lBA+ 138600 545048HBAABAEBA+ 198000 545048HBAABAEBA+ 246600 545048HBAABAEBA+ 300600 545048HBAABAEBA+ 343800 545048mBAUBA)paps_exec ()paps_exec -(+ 36000 527048LBArAAkAA+ 57600 527048kAAoAAcAAkAAbAAmAAlAAfAAlAAkAAmAA+ 122400 527048HBAjAAgAA+ 144000 527048lAArAAoAAmAA+ 171000 527048mAAnAAmAAlAAkAAiAA+ 208800 527048fAAgAAkAA+ 230400 527048kBAfAAFBAeAAfAAPBAkAAlBAmAA+ 284400 527048mAApAArAAkAAgAAoAAPBAfAAeAA+ 338400 527048rAAfAAgAAiAAjAAbAAoAAPBA+ 387000 527048HBAdAAbAAPBAlAAoAAjAAbAAmAAYBA+ 446400 527048NBArAAoAAPBArAA+ 478800 527048PBAjAAiAApAAgAAoAAmAAkAA+ 527400 527048fAAbAA)paps_exec -(+ 36000 518048jAAgAAlAArAAjAAcAAjAAbAAfAAeAA+ 95400 518048mAAkAAlAAYBA+ 122400 518048mBARBAnBARBAoBA)paps_exec +(+ 36000 527048OBAuAAnAA+ 57600 527048nAArAAfAAnAAeAApAAoAAiAAoAAnAApAA+ 122400 527048KBAmAAjAA+ 144000 527048oAAuAArAApAA+ 171000 527048pAAqAApAAoAAnAAlAA+ 208800 527048iAAjAAnAA+ 230400 527048nBAiAAIBAhAAiAASBAnAAoBApAA+ 284400 527048pAAsAAuAAnAAjAArAASBAiAAhAA+ 338400 527048uAAiAAjAAlAAmAAeAArAASBA+ 387000 527048KBAgAAeAASBAoAArAAmAAeAApAAbBA+ 446400 527048QBAuAArAASBAuAA+ 478800 527048SBAmAAlAAsAAjAArAApAAnAA+ 527400 527048iAAeAA)paps_exec +(+ 36000 518048mAAjAAoAAuAAmAAfAAmAAeAAiAAhAA+ 95400 518048pAAnAAoAAbBA+ 122400 518048pBAUBAqBAUBArBA)paps_exec ()paps_exec -(+ 57600 498464fBAeAAiAAtAAeAApBAiAApBAvAA+ 111600 498464wAA+ 122400 498464qBArBArBApBA+ 149400 498464qBAsBAsBApBARBA)paps_exec +(+ 57600 498464iBAhAAlAAwAAhAAsBAlAAsBAyAA+ 111600 498464zAA+ 122400 498464tBAuBAuBAsBA+ 149400 498464tBAvBAvBAsBAUBA)paps_exec ()paps_exec -(+ 57600 478880eBAfBAxAAxAAtAAuAAvAAeBAJBA+ 111600 478880wAA+ 122400 478880eBAfBAxAAxAAtAA+ 160200 478880xAAyAA+ 176400 478880tAAxAAxAAvAAeBAJBA+ 214200 478880wAA+ 225000 478880tBAuBAvBAwBARBA)paps_exec -(+ 122400 469880eBA+ 154800 469880EBAxAABBA+ 198000 469880eBA)paps_exec +(+ 57600 478880hBAiBAABAABAwAAxAAyAAhBAMBA+ 111600 478880zAA+ 122400 478880hBAiBAABAABAwAA+ 160200 478880ABABBA+ 176400 478880wAAABAABAyAAhBAMBA+ 214200 478880zAA+ 225000 478880wBAxBAyBAzBAUBA)paps_exec +(+ 122400 469880hBA+ 154800 469880HBAABAEBA+ 198000 469880hBA)paps_exec ()paps_exec -(+ 57600 450296eBAfBAxAABBAtAAuAAvAAeBAJBA+ 111600 450296wAA+ 122400 450296eBAfBAxAABBAtAA+ 160200 450296ABAyAA+ 176400 450296tAAxAABBAvAAeBAJBA+ 214200 450296wAA+ 225000 450296xBAuBAvBAwBARBA)paps_exec -(+ 122400 441296eBA+ 154800 441296EBAxAABBA+ 198000 441296eBA)paps_exec +(+ 57600 450296hBAiBAABAEBAwAAxAAyAAhBAMBA+ 111600 450296zAA+ 122400 450296hBAiBAABAEBAwAA+ 160200 450296DBABBA+ 176400 450296wAAABAEBAyAAhBAMBA+ 214200 450296zAA+ 225000 450296ACAxBAyBAzBAUBA)paps_exec +(+ 122400 441296hBA+ 154800 441296HBAABAEBA+ 198000 441296hBA)paps_exec ()paps_exec -(+ 36000 422360UBAyBAVBA)paps_exec -(+ 44928 412424dBAUBAIBAMBAJBAwAAABAWBAJBAVBA+ 100008 412424wAA+ 110808 412424zBARBA)paps_exec +(+ 36000 422360XBABCAYBA)paps_exec +(+ 44928 412424gBAXBALBAPBAMBAzAADBAZBAMBAYBA+ 100008 412424zAA+ 110808 412424CCAUBA)paps_exec ()paps_exec -(+ 36000 394424ACAjAA+ 52200 394424bAAkAAkAAqAA+ 79200 394424lAAjAA+ 95400 394424PBAfAAeAAPBAdAAeAAfAAlAAkAA+ 149400 394424lAArAAkAA+ 171000 394424jAAlAArAAkAAgAA+ 203400 394424mAAkAAlAAoBA+ 230400 394424mAAoAAbAAPBAkAA+ 262800 394424lAArAAkAA+ 284400 394424OBAkAAPBAlAAjAAgAA+ 322200 394424oAAmAA+ 338400 394424bAAjAAgAAiAAfAAeAAoAABCAkAAqAAYBA+ 403200 394424lAArAAkAA+ 424800 394424pAAgAAjAAGBAfAAGBAoAAeAAoAAlAAnAA+ 489600 394424jAAHBA)paps_exec -(+ 36000 384488iAAkAAfAAmAAdAAgAAoAAbAAcAA+ 90000 384488IBAMBAJBAwAAbBAWBAJBA+ 128376 384488oAAmAA+ 144576 384488fAAeAAmAAjAA)paps_exec +(+ 36000 394424DCAmAA+ 52200 394424eAAnAAnAAtAA+ 79200 394424oAAmAA+ 95400 394424SBAiAAhAASBAgAAhAAiAAoAAnAA+ 149400 394424oAAuAAnAA+ 171000 394424mAAoAAuAAnAAjAA+ 203400 394424pAAnAAoAArBA+ 230400 394424pAArAAeAASBAnAA+ 262800 394424oAAuAAnAA+ 284400 394424RBAnAASBAoAAmAAjAA+ 322200 394424rAApAA+ 338400 394424eAAmAAjAAlAAiAAhAArAAECAnAAtAAbBA+ 403200 394424oAAuAAnAA+ 424800 394424sAAjAAmAAJBAiAAJBArAAhAArAAoAAqAA+ 489600 394424mAAKBA)paps_exec +(+ 36000 384488lAAnAAiAApAAgAAjAArAAeAAfAA+ 90000 384488LBAPBAMBAzAAeBAZBAMBA+ 128376 384488rAApAA+ 144576 384488iAAhAApAAmAA)paps_exec ()paps_exec -(+ 44928 365552dBAUBAIBAMBAJBAwAAbBAWBAJBAVBA+ 100008 365552wAA+ 110808 365552zBARBA)paps_exec +(+ 44928 365552gBAXBALBAPBAMBAzAAeBAZBAMBAYBA+ 100008 365552zAA+ 110808 365552CCAUBA)paps_exec ()paps_exec ()paps_exec -(+ 36000 337616ZBAjAAgAA+ 57600 337616IBAMBACCA+ 69696 337616lAArAAkAA+ 91296 337616kAAoAAcAAkAAbAAOBAfAAeAAdAAkAA+ 150696 337616kAASBAdAAfAAlAAoAAjAAbAA+ 199296 337616oAAmAA)paps_exec +(+ 36000 337616cBAmAAjAA+ 57600 337616LBAPBAFCA+ 69696 337616oAAuAAnAA+ 91296 337616nAArAAfAAnAAeAARBAiAAhAAgAAnAA+ 150696 337616nAAVBAgAAiAAoAArAAmAAeAA+ 199296 337616rAApAA)paps_exec ()paps_exec -(+ 44928 318032IBAMBACCAtAAeAAiAAvAA+ 81792 318032wAA+ 92592 318032iAAWBAtAAeAAiAAvAAYBA)paps_exec +(+ 44928 318032LBAPBAFCAwAAhAAlAAyAA+ 81792 318032zAA+ 92592 318032lAAZBAwAAhAAlAAyAAbBA)paps_exec ()paps_exec -(+ 36000 300032mAAjAA+ 52200 300032lAArAAkAA+ 73800 300032kAAQBApAAkAAPBAlAAkAAqAA+ 122400 300032iAAkAAfAAmAAdAAgAAkAAiAAkAAbAAlAAmAA+ 192600 300032fAAgAAkAAYBA)paps_exec +(+ 36000 300032pAAmAA+ 52200 300032oAAuAAnAA+ 73800 300032nAATBAsAAnAASBAoAAnAAtAA+ 122400 300032lAAnAAiAApAAgAAjAAnAAlAAnAAeAAoAApAA+ 192600 300032iAAjAAnAAbBA)paps_exec ()paps_exec -(+ 36000 281096HBAjAAgAA+ 57600 281096eAAiAA+ 73800 281096wAA+ 84600 281096xAAxAA+ 100800 281096aBA+ 111600 281096ABAxAAYBA+ 133200 281096IBAMBACCA+ 145296 281096wAA+ 156096 281096WBARBA)paps_exec +(+ 36000 281096KBAmAAjAA+ 57600 281096hAAlAA+ 73800 281096zAA+ 84600 281096ABAABA+ 100800 281096dBA+ 111600 281096DBAABAbBA+ 133200 281096LBAPBAFCA+ 145296 281096zAA+ 156096 281096ZBAUBA)paps_exec ()paps_exec -(+ 36000 262160HBAjAAgAA+ 57600 262160eAAiAA+ 73800 262160wAA+ 84600 262160xAABBA+ 100800 262160aBA+ 111600 262160ABABBAYBA+ 133200 262160IBAMBACCA+ 145296 262160wAA+ 156096 262160BBARBA)paps_exec +(+ 36000 262160KBAmAAjAA+ 57600 262160hAAlAA+ 73800 262160zAA+ 84600 262160ABAEBA+ 100800 262160dBA+ 111600 262160DBAEBAbBA+ 133200 262160LBAPBAFCA+ 145296 262160zAA+ 156096 262160EBAUBA)paps_exec ()paps_exec -(+ 36000 244160mBAbAA+ 52200 244160lAArAAoAAmAA+ 79200 244160PBAfAAmAAkAAYBA+ 111600 244160lAArAAkAA+ 133200 244160pAAgAAjAAGBAfAAGBAoAAeAAoAAlAAoAAkAAmAA+ 208800 244160NBAoAAeAAeAA+ 235800 244160GBAkAA)paps_exec +(+ 36000 244160pBAeAA+ 52200 244160oAAuAArAApAA+ 79200 244160SBAiAApAAnAAbBA+ 111600 244160oAAuAAnAA+ 133200 244160sAAjAAmAAJBAiAAJBArAAhAArAAoAArAAnAApAA+ 208800 244160QBArAAhAAhAA+ 235800 244160JBAnAA)paps_exec ()paps_exec -(+ 44928 224576dBAUBAIBAMBACCAwAAWBAVBA+ 87696 224576wAA+ 98496 224576eBAfBAxAAxAAtAAuAAvAAeBAJBA+ 152496 224576CBA+ 163296 224576eBAfBAABAxAAtAAuAAvAAeBAJBA+ 217296 224576fAAbAAqAA)paps_exec +(+ 44928 224576gBAXBALBAPBAFCAzAAZBAYBA+ 87696 224576zAA+ 98496 224576hBAiBAABAABAwAAxAAyAAhBAMBA+ 152496 224576FBA+ 163296 224576hBAiBADBAABAwAAxAAyAAhBAMBA+ 217296 224576iAAeAAtAA)paps_exec ()paps_exec -(+ 44928 204992dBAUBAIBAMBACCAwAABBAVBA+ 87696 204992wAA+ 98496 204992eBAfBAxAABBAtAAuAAvAAeBAJBA+ 152496 204992CBA+ 163296 204992eBAfBAABABBAtAAuAAvAAeBAJBARBA)paps_exec +(+ 44928 204992gBAXBALBAPBAFCAzAAEBAYBA+ 87696 204992zAA+ 98496 204992hBAiBAABAEBAwAAxAAyAAhBAMBA+ 152496 204992FBA+ 163296 204992hBAiBADBAEBAwAAxAAyAAhBAMBAUBA)paps_exec ()paps_exec -(+ 36000 186992LBArAAkAA+ 57600 186992iAAkAAlAArAAjAAqAA+ 95400 186992rAAfAAmAA+ 117000 186992fAAeAAgAAkAAfAAqAAnAA+ 160200 186992GBAkAAkAAbAA+ 187200 186992qAAkAAiAAjAAbAAmAAlAAgAAfAAlAAkAAqAAYBA+ 262800 186992mAAjAA+ 279000 186992lAAfAADCAoAAbAAcAA+ 316800 186992lAArAAkAA+ 338400 186992pAAgAAjAAGBAfAAGBAoAAeAAoAAlAAnAA+ 403200 186992PBAjAAiAApAAjAAbAAkAAbAAlAAmAA+ 462600 186992fAAbAAqAA+ 484200 186992mAAdAAiAAiAAoAAbAAcAAYBA)paps_exec +(+ 36000 186992OBAuAAnAA+ 57600 186992lAAnAAoAAuAAmAAtAA+ 95400 186992uAAiAApAA+ 117000 186992iAAhAAjAAnAAiAAtAAqAA+ 160200 186992JBAnAAnAAeAA+ 187200 186992tAAnAAlAAmAAeAApAAoAAjAAiAAoAAnAAtAAbBA+ 262800 186992pAAmAA+ 279000 186992oAAiAAGCArAAeAAfAA+ 316800 186992oAAuAAnAA+ 338400 186992sAAjAAmAAJBAiAAJBArAAhAArAAoAAqAA+ 403200 186992SBAmAAlAAsAAmAAeAAnAAeAAoAApAA+ 462600 186992iAAeAAtAA+ 484200 186992pAAgAAlAAlAArAAeAAfAAbBA)paps_exec ()paps_exec -(+ 36000 168056UBAECAVBA)paps_exec +(+ 36000 168056XBAHCAYBA)paps_exec ()paps_exec -(+ 44928 149120dBAUBAIBAMBACCAwAAWBAVBA+ 87696 149120wAA+ 98496 149120JBAuBAvBAwBARBA)paps_exec +(+ 44928 149120gBAXBALBAPBAFCAzAAZBAYBA+ 87696 149120zAA+ 98496 149120MBAxBAyBAzBAUBA)paps_exec ()paps_exec -(+ 44928 130184dBAUBAIBAMBACCAwAABBAVBA+ 87696 130184wAA+ 98496 130184FCAuBAvBAwBARBA)paps_exec +(+ 44928 130184gBAXBALBAPBAFCAzAAEBAYBA+ 87696 130184zAA+ 98496 130184ICAxBAyBAzBAUBA)paps_exec ()paps_exec -(+ 36000 112184GCAoAAmAAlAAjAAcAAgAAfAAiAA+ 90000 112184jAAHBA+ 106200 112184pAAgAAjAAGBAfAAGBAoAAeAAoAAlAAoAAkAAmAAoBA)paps_exec +(+ 36000 112184JCArAApAAoAAmAAfAAjAAiAAlAA+ 90000 112184mAAKBA+ 106200 112184sAAjAAmAAJBAiAAJBArAAhAArAAoAArAAnAApAArBA)paps_exec ()paps_exec ()paps_exec -(+ 36000 84248dBA+ 126720 84248dBA)paps_exec -(+ 52200 75248HCAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAJCAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAKCA)paps_exec -(+ 36000 66248xAA+ 52200 66248eBA+ 149400 66248eBA+ 241200 66248eBA+ 252000 66248xAA)paps_exec -(+ 52200 57248eBA+ 149400 57248eBA+ 241200 57248eBA)paps_exec -(+ 36000 48248RBALCA+ 52200 48248eBA+ 149400 48248eBA+ 214200 48248MCA+ 241200 48248eBA+ 252000 48248RBALCA)paps_exec -(+ 52200 39248eBA+ 149400 39248eBA+ 214200 39248MCA+ 241200 39248eBA)paps_exec +(+ 36000 84248gBA+ 126720 84248gBA)paps_exec +(+ 52200 75248KCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCAMCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCANCA)paps_exec +(+ 36000 66248ABA+ 52200 66248hBA+ 149400 66248hBA+ 241200 66248hBA+ 252000 66248ABA)paps_exec +(+ 52200 57248hBA+ 149400 57248hBA+ 241200 57248hBA)paps_exec +(+ 36000 48248UBAOCA+ 52200 48248hBA+ 149400 48248hBA+ 214200 48248PCA+ 241200 48248hBA+ 252000 48248UBAOCA)paps_exec +(+ 52200 39248hBA+ 149400 39248hBA+ 214200 39248PCA+ 241200 39248hBA)paps_exec paps_eop showpage %%Page: 2 2 paps_bop -(+ 36000 807000AAABAACAA+ 64800 807000AAAEAAFAA+ 93600 807000GAAHAA+ 115200 807000HAAIAAJAAKAAKAAJAALAAKAA+ 180000 807000GAAKAAHAAIAA)paps_exec -(>4750MAANAAOAABAA+ 254300 807000PAAQAAFAARAASAAOAAJAA+ 311900 807000TAAOAAEAAUAA+ 347900 807000VAA+ 362300 807000WAAVAA)paps_exec -(* 515800XAAEAAYAAZAA+ 551800 807000GAA)paps_exec +(+ 36000 807000AAABAACAA+ 64800 807000EAAFAAGAA+ 93600 807000HAAIAA+ 115200 807000JAAKAALAAIAAMAALAAMAAKAA+ 180000 807000HAAJAANAAOAA)paps_exec +(>4750PAAQAARAASAA+ 254300 807000TAAUAAGAAVAAWAARAALAA+ 311900 807000XAARAAFAAYAA+ 347900 807000ZAA+ 362300 807000aAAZAA)paps_exec +(* 515800bAAFAAcAABAA+ 551800 807000HAA)paps_exec 36 797.000000 moveto 559 797.000000 lineto 0 setlinewidth stroke -(+ 52200 782000eBA+ 149400 782000eBA+ 214200 782000MCA+ 241200 782000eBA)paps_exec -(+ 36000 773000RBANCA+ 52200 773000eBA+ 73800 773000MCA+ 122400 773000MCA+ 149400 773000eBA+ 214200 773000MCA+ 241200 773000eBA+ 252000 773000RBANCA)paps_exec -(+ 52200 764000eBA+ 73800 764000MCA+ 122400 764000MCA+ 149400 764000eBA+ 214200 764000MCA+ 241200 764000eBA)paps_exec -(+ 52200 755000eBA+ 73800 755000MCA+ 122400 755000MCA+ 149400 755000eBA+ 214200 755000MCA+ 241200 755000eBA)paps_exec -(+ 52200 746000eBA+ 73800 746000MCA+ 122400 746000MCA+ 149400 746000eBA+ 171000 746000MCA+ 214200 746000MCA+ 241200 746000eBA)paps_exec -(+ 36000 737000RBAxAA+ 52200 737000eBA+ 73800 737000MCA+ 122400 737000MCA+ 149400 737000eBA+ 171000 737000MCA+ 214200 737000MCA+ 241200 737000eBA+ 252000 737000RBAxAA)paps_exec -(+ 52200 728000OCAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAPCAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAICAQCA)paps_exec -(+ 73800 719000ABAWBAJBA+ 117000 719000bBAWBAJBA+ 149400 719000eBA+ 171000 719000BBA+ 214200 719000WBA)paps_exec -(+ 62784 709064IBAMBAJBA+ 111960 709064eBA+ 155160 709064IBAMBACCA)paps_exec +(+ 52200 782000hBA+ 149400 782000hBA+ 214200 782000PCA+ 241200 782000hBA)paps_exec +(+ 36000 773000UBAQCA+ 52200 773000hBA+ 73800 773000PCA+ 122400 773000PCA+ 149400 773000hBA+ 214200 773000PCA+ 241200 773000hBA+ 252000 773000UBAQCA)paps_exec +(+ 52200 764000hBA+ 73800 764000PCA+ 122400 764000PCA+ 149400 764000hBA+ 214200 764000PCA+ 241200 764000hBA)paps_exec +(+ 52200 755000hBA+ 73800 755000PCA+ 122400 755000PCA+ 149400 755000hBA+ 214200 755000PCA+ 241200 755000hBA)paps_exec +(+ 52200 746000hBA+ 73800 746000PCA+ 122400 746000PCA+ 149400 746000hBA+ 171000 746000PCA+ 214200 746000PCA+ 241200 746000hBA)paps_exec +(+ 36000 737000UBAABA+ 52200 737000hBA+ 73800 737000PCA+ 122400 737000PCA+ 149400 737000hBA+ 171000 737000PCA+ 214200 737000PCA+ 241200 737000hBA+ 252000 737000UBAABA)paps_exec +(+ 52200 728000RCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCASCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCALCATCA)paps_exec +(+ 73800 719000DBAZBAMBA+ 117000 719000eBAZBAMBA+ 171000 719000EBA+ 214200 719000ZBA)paps_exec +(+ 62784 709064LBAPBAMBA+ 155160 709064LBAPBAFCA)paps_exec ()paps_exec -(+ 100800 691064rAA)paps_exec +(+ 100800 691064uAA)paps_exec ()paps_exec paps_eop showpage diff --git a/solutions/chap7/prob8 b/solutions/chap7/prob8 new file mode 100644 index 0000000..3ece9aa --- /dev/null +++ b/solutions/chap7/prob8 @@ -0,0 +1,40 @@ +7.35 is nothing more than a definition of spherical coordinates. + +⎧ x = r sinθ cosϕ +⎪ +⎨ y = r sinθ sinϕ +⎪ +⎩ z = r cosθ + + +7.47 is the set of algebraic conditions expressed by the vector definition 𝐋 = 𝐫 × 𝐩. + +⎧ L̂𝓍 = yp𝓏 - zp𝓎 = -ιħ (y ∂͟_ - z ∂͟_ ) +⎪ ∂y ∂y +⎪ +⎨ L̂𝓎 = zp𝓍 - xp𝓏 = -ιħ (z ∂͟_ - x ∂͟_ ) +⎪ ∂y ∂y +⎪ +⎪ L̂𝓏 = xp𝓎 - yp𝓍 = -ιħ (x ∂͟_ - y ∂͟_ ) +⎩ ∂y ∂y + +Substituing 7.35 into 7.47, + +⎧ L̂𝓍 = -ιħ (r sinθ sinϕ ∂͟_ - r cosθ ∂͟_ ) +⎪ ∂y ∂y +⎪ +⎨ L̂𝓎 = -ιħ (r cosθ ∂͟_ - r sinθ cosϕ ∂͟_ ) +⎪ ∂y ∂y +⎪ +⎪ L̂𝓏 = -ιħ (r sinθ cosϕ ∂͟_ - r sinθ sinϕ ∂͟_ ) +⎩ ∂y ∂y + + +⎧ L̂𝓍 = -ιħ (r sinθ sinϕ ∂͟_ - r cosθ ∂͟_ ) +⎪ ∂y ∂y +⎪ +⎨ L̂𝓎 = ιħ (r cosθ ∂͟_ + r sinθ cosϕ ∂͟_ ) +⎪ ∂y ∂y +⎪ +⎪ L̂𝓏 = -ιħ (r sinθ cosϕ ∂͟_ - r sinθ sinϕ ∂͟_ ) +⎩ ∂y ∂y diff --git a/solutions/chap7/prob8.ps b/solutions/chap7/prob8.ps new file mode 100644 index 0000000..5290545 --- /dev/null +++ b/solutions/chap7/prob8.ps @@ -0,0 +1,2452 @@ +%!PS-Adobe-3.0 +%%Title: Otho Ulrich: Chap 7 #8 +%%Creator: paps version 0.6.7 by Dov Grobgeld +%%Pages: (atend) +%%BoundingBox: 0 0 595 841 +%%BeginProlog +%%Orientation: Portrait +/papsdict 1 dict def +papsdict begin + +/inch {72 mul} bind def +/mm {1 inch 25.4 div mul} bind def + +% override setpagedevice if it is not defined +/setpagedevice where { + pop % get rid of its dictionary + /setpagesize { + 3 dict begin + /pageheight exch def + /pagewidth exch def + /orientation 0 def + % Exchange pagewidth and pageheight so that pagewidth is bigger + pagewidth pageheight gt { + pagewidth + /pagewidth pageheight def + /pageheight exch def + /orientation 3 def + } if + 2 dict + dup /PageSize [pagewidth pageheight] put + dup /Orientation orientation put + setpagedevice + end + } def +} +{ + /setpagesize { pop pop } def +} ifelse +/duplex { + statusdict /setduplexmode known + { statusdict begin setduplexmode end } {pop} ifelse +} def +/tumble { + statusdict /settumble known + { statusdict begin settumble end } {pop} ifelse +} def +% Turn the page around +/turnpage { + 90 rotate + 0 pageheight neg translate +} def +% User settings +/pagewidth 595 def +/pageheight 841 def +pagewidth pageheight setpagesize +/column_width 523 def +/bodyheight 755 def +/lmarg 36 def +/ytop 791 def +/do_separation_line true def +/do_landscape false def +/do_tumble true def +/do_duplex true def +% Procedures to translate position to first and second column +/lw 20 def % whatever +/setnumcolumns { + /numcolumns exch def + /firstcolumn { /xpos lmarg def /ypos ytop def} def + /nextcolumn { + do_separation_line { + xpos column_width add gutter_width 2 div add % x start + ytop lw add moveto % y start + 0 bodyheight lw add neg rlineto 0 setlinewidth stroke + } if + /xpos xpos column_width add gutter_width add def + /ypos ytop def + } def +} def + +1 setnumcolumns +/showline { + /y exch def + /s exch def + xpos y moveto + column_width 0 rlineto stroke + xpos y moveto /Helvetica findfont 20 scalefont setfont s show +} def +/paps_bop { % Beginning of page definitions + papsdict begin + gsave + do_landscape {turnpage} if + % ps2pdf gets wrong orientation without this! + /Helvetica findfont setfont 100 100 moveto ( ) show + firstcolumn + end +} def + +/paps_eop { % End of page cleanups + grestore +} def +%%BeginProlog +/papsdict 1 dict def +papsdict begin + +/conicto { + /to_y exch def + /to_x exch def + /conic_cntrl_y exch def + /conic_cntrl_x exch def + currentpoint + /p0_y exch def + /p0_x exch def + /p1_x p0_x conic_cntrl_x p0_x sub 2 3 div mul add def + /p1_y p0_y conic_cntrl_y p0_y sub 2 3 div mul add def + /p2_x p1_x to_x p0_x sub 1 3 div mul add def + /p2_y p1_y to_y p0_y sub 1 3 div mul add def + p1_x p1_y p2_x p2_y to_x to_y curveto +} bind def +/start_ol { gsave } bind def +/end_ol { closepath fill grestore } bind def +/draw_char { fontdict begin gsave 0.001000 dup scale last_x last_y translate load exec end grestore} def +/goto_xy { fontdict begin /last_y exch def /last_x exch def end } def +/goto_x { fontdict begin /last_x exch def end } def +/fwd_x { fontdict begin /last_x exch last_x add def end } def +/c /curveto load def +/x /conicto load def +/l /lineto load def +/m /moveto load def +end +/paps_exec { + 1 dict begin + /ps exch def + /len ps length def + /pos 0 def + + % Loop over all the characters of the string + { + pos len eq {exit} if + + % Get character at pos + /ch ps pos 1 getinterval def + + % check for + + (+) ch eq { + /pos 1 pos add def + /xp ps pos 8 getinterval cvi def + /yp ps pos 8 add 8 getinterval cvi def + /pos 16 pos add def + papsdict begin xp yp goto_xy end + } { + (*) ch eq { + /pos 1 pos add def + /xp ps pos 8 getinterval cvi def + /pos 8 pos add def + papsdict begin xp goto_x end + } { (>) ch eq { + /pos 1 pos add def + /xp ps pos 4 getinterval cvi def + /pos 4 pos add def + papsdict begin xp 2 mul fwd_x end + } { (-) ch eq { + /pos 1 pos add def + /xp ps pos 4 getinterval cvi def + /pos 4 pos add def + papsdict begin xp neg 2 mul fwd_x end + } { + % Must be a 3 char sym. Load and exec + /name ps pos 3 getinterval def + papsdict begin name draw_char end + /pos 3 pos add def + } ifelse + } ifelse + } ifelse + } ifelse + } loop + end +} def +/fontdict 1 dict def +papsdict begin fontdict begin +/AAA { start_ol +0 8784 m +1522 8784 l +2153 2326 l +2913 6480 l +4358 6480 l +5243 2326 l +5738 8784 l +7272 8784 l +6257 0 l +4636 0 l +3632 4593 l +2695 0 l +1085 0 l +0 8784 l +7200 fwd_x +end_ol + } def +/BAA { start_ol +6480 360 m +5883 108 5263 -18 x +4644 -144 3954 -144 x +2311 -144 1443 731 x +576 1606 576 3252 x +576 4846 1413 5771 x +2251 6696 3697 6696 x +5157 6696 5962 5823 x +6768 4950 6768 3364 x +6768 2664 l +2304 2664 l +2309 1938 2760 1580 x +3213 1224 4110 1224 x +4702 1224 5277 1396 x +5852 1569 6480 1944 x +6480 360 l +5040 3960 m +5028 4635 4695 4981 x +4363 5328 3717 5328 x +3133 5328 2786 4970 x +2440 4612 2376 3954 x +5040 3960 l +7200 fwd_x +end_ol + } def +/CAA { start_ol +4608 5598 m +4608 9144 l +6336 9144 l +6336 0 l +4608 0 l +4608 1019 l +4332 441 3895 148 x +3460 -144 2868 -144 x +1744 -144 1123 751 x +504 1647 504 3276 x +504 4927 1132 5811 x +1762 6696 2927 6696 x +3454 6696 3873 6421 x +4291 6147 4608 5598 x +2232 3276 m +2232 2349 2545 1822 x +2860 1296 3414 1296 x +3967 1296 4287 1822 x +4608 2349 4608 3276 x +4608 4203 4287 4729 x +3967 5256 3414 5256 x +2860 5256 2545 4729 x +2232 4203 2232 3276 x +7200 fwd_x +end_ol + } def +/EAA { start_ol +504 8784 m +2577 8784 l +3596 4911 l +4611 8784 l +6696 8784 l +6696 0 l +5184 0 l +5184 7027 l +4278 3168 l +2932 3168 l +2016 7027 l +2016 0 l +504 0 l +504 8784 l +7200 fwd_x +end_ol + } def +/FAA { start_ol +4127 3096 m +3150 3096 2763 2855 x +2376 2614 2376 2030 x +2376 1595 2643 1337 x +2911 1080 3370 1080 x +4061 1080 4442 1580 x +4824 2082 4824 2981 x +4824 3096 l +4127 3096 l +6552 3751 m +6552 0 l +4824 0 l +4824 776 l +4512 334 4024 94 x +3537 -144 2949 -144 x +1827 -144 1201 444 x +576 1032 576 2088 x +576 3229 1317 3774 x +2059 4320 3614 4320 x +4824 4320 l +4824 4621 l +4824 5005 4516 5202 x +4210 5400 3614 5400 x +3000 5400 2424 5262 x +1849 5125 1224 4824 x +1224 6264 l +1791 6485 2374 6590 x +2959 6696 3614 6696 x +5238 6696 5895 6052 x +6552 5409 6552 3751 x +7200 fwd_x +end_ol + } def +/GAA { start_ol +6768 4680 m +6487 4968 6111 5112 x +5734 5256 5284 5256 x +4740 5256 4334 5062 x +3929 4869 3706 4501 x +3567 4275 3511 3953 x +3456 3632 3456 2977 x +3456 0 l +1728 0 l +1728 6552 l +3456 6552 l +3456 5521 l +3706 6082 4226 6388 x +4746 6696 5441 6696 x +5792 6696 6127 6603 x +6464 6512 6768 6336 x +6768 4680 l +7200 fwd_x +end_ol + } def +/HAA { start_ol +2543 1512 m +6203 1512 l +6203 0 l +648 0 l +648 1465 l +1591 2466 l +3272 4248 3632 4659 x +4074 5166 4269 5556 x +4464 5947 4464 6330 x +4464 6918 4109 7239 x +3755 7560 3106 7560 x +2643 7560 2066 7375 x +1490 7191 864 6840 x +864 8424 l +1487 8669 2084 8798 x +2683 8928 3231 8928 x +4612 8928 5402 8277 x +6192 7627 6192 6503 x +6192 5985 6019 5531 x +5848 5078 5429 4525 x +5121 4125 3736 2724 x +2985 1965 2543 1512 x +7200 fwd_x +end_ol + } def +/IAA { start_ol +3240 3960 m +2304 3960 l +2304 5472 l +3240 5472 l +3891 5472 4249 5728 x +4608 5985 4608 6450 x +4608 6940 4249 7213 x +3891 7488 3240 7488 x +2745 7488 2179 7358 x +1614 7230 1008 6984 x +1008 8568 l +1613 8742 2200 8834 x +2787 8928 3327 8928 x +4713 8928 5488 8327 x +6264 7726 6264 6670 x +6264 5893 5821 5401 x +5380 4908 4560 4756 x +5496 4592 5988 4007 x +6480 3422 6480 2470 x +6480 1195 5658 525 x +4837 -144 3272 -144 x +2604 -144 1957 -32 x +1310 77 720 288 x +720 1872 l +1278 1625 1923 1496 x +2570 1368 3281 1368 x +3993 1368 4408 1690 x +4824 2014 4824 2561 x +4824 3232 4410 3595 x +3996 3960 3240 3960 x +7200 fwd_x +end_ol + } def +/JAA { start_ol +1080 1512 m +3024 1512 l +3024 7200 l +1224 6768 l +1224 8352 l +3021 8784 l +4680 8784 l +4680 1512 l +6624 1512 l +6624 0 l +1080 0 l +1080 1512 l +7200 fwd_x +end_ol + } def +/KAA { start_ol +2880 4388 m +2880 4695 3088 4903 x +3296 5112 3596 5112 x +3903 5112 4111 4903 x +4320 4695 4320 4388 x +4320 4088 4111 3880 x +3903 3672 3596 3672 x +3296 3672 3088 3876 x +2880 4082 2880 4388 x +3596 7488 m +2999 7488 2723 6750 x +2448 6012 2448 4388 x +2448 2772 2723 2034 x +2999 1296 3596 1296 x +4200 1296 4476 2034 x +4752 2772 4752 4388 x +4752 6012 4476 6750 x +4200 7488 3596 7488 x +720 4388 m +720 6661 1437 7794 x +2155 8928 3596 8928 x +5044 8928 5762 7797 x +6480 6666 6480 4388 x +6480 2116 5762 985 x +5044 -144 3596 -144 x +2155 -144 1437 988 x +720 2122 720 4388 x +7200 fwd_x +end_ol + } def +/LAA { start_ol +2664 6264 m +4608 6264 l +4608 4104 l +2664 4104 l +2664 6264 l +2664 2160 m +4608 2160 l +4608 0 l +2664 0 l +2664 2160 l +7200 fwd_x +end_ol + } def +/MAA { start_ol +4104 6854 m +1857 3384 l +4104 3384 l +4104 6854 l +3929 8784 m +5760 8784 l +5760 3384 l +6696 3384 l +6696 1872 l +5760 1872 l +5760 0 l +4104 0 l +4104 1872 l +576 1872 l +576 3560 l +3929 8784 l +7200 fwd_x +end_ol + } def +/NAA { start_ol +3810 4464 m +3251 4464 2957 4047 x +2664 3631 2664 2840 x +2664 2056 2957 1640 x +3251 1224 3810 1224 x +4368 1224 4667 1640 x +4968 2056 4968 2840 x +4968 3625 4667 4044 x +4368 4464 3810 4464 x +6048 8568 m +6048 6984 l +5591 7272 5171 7416 x +4752 7560 4363 7560 x +3438 7560 2954 6933 x +2471 6306 2448 5081 x +2722 5456 3148 5644 x +3576 5832 4155 5832 x +5337 5832 5980 5081 x +6624 4332 6624 2955 x +6624 1479 5897 667 x +5170 -144 3852 -144 x +2245 -144 1518 927 x +792 1999 792 4388 x +792 6661 1674 7794 x +2557 8928 4323 8928 x +4732 8928 5168 8838 x +5603 8748 6048 8568 x +7200 fwd_x +end_ol + } def +/OAA { start_ol +3668 7344 m +2995 7344 2685 6645 x +2376 5947 2376 4388 x +2376 2836 2685 2137 x +2995 1440 3668 1440 x +4348 1440 4657 2137 x +4968 2836 4968 4388 x +4968 5947 4657 6645 x +4348 7344 3668 7344 x +576 4388 m +576 6631 1357 7779 x +2139 8928 3668 8928 x +5204 8928 5986 7779 x +6768 6631 6768 4388 x +6768 2152 5986 1003 x +5204 -144 3668 -144 x +2139 -144 1357 1003 x +576 2152 576 4388 x +7200 fwd_x +end_ol + } def +/PAA { start_ol +4032 8424 m +4032 6552 l +6264 6552 l +6264 5256 l +4032 5256 l +4032 2124 l +4032 1680 4244 1488 x +4457 1296 4952 1296 x +6264 1296 l +6264 0 l +4830 0 l +3350 0 2827 468 x +2304 937 2304 2206 x +2304 5256 l +648 5256 l +648 6552 l +2304 6552 l +2304 8424 l +4032 8424 l +7200 fwd_x +end_ol + } def +/QAA { start_ol +6264 4213 m +6264 0 l +4536 0 l +4536 3952 l +4536 4653 4340 4954 x +4144 5256 3701 5256 x +3246 5256 2991 4847 x +2736 4439 2736 3714 x +2736 0 l +1008 0 l +1008 9144 l +2736 9144 l +2736 5526 l +2916 6084 3351 6390 x +3786 6696 4401 6696 x +5323 6696 5793 6071 x +6264 5448 6264 4213 x +7200 fwd_x +end_ol + } def +/RAA { start_ol +3632 5328 m +3012 5328 2658 4785 x +2304 4243 2304 3276 x +2304 2308 2658 1766 x +3012 1224 3632 1224 x +4259 1224 4613 1766 x +4968 2308 4968 3276 x +4968 4243 4613 4785 x +4259 5328 3632 5328 x +576 3276 m +576 4852 1405 5773 x +2234 6696 3632 6696 x +5037 6696 5866 5773 x +6696 4852 6696 3276 x +6696 1699 5866 777 x +5037 -144 3632 -144 x +2234 -144 1405 777 x +576 1699 576 3276 x +7200 fwd_x +end_ol + } def +/SAA { start_ol +648 3271 m +648 8784 l +2376 8784 l +2376 2838 l +2376 2183 2710 1811 x +3044 1440 3636 1440 x +4227 1440 4561 1811 x +4896 2183 4896 2838 x +4896 8784 l +6624 8784 l +6624 3271 l +6624 1481 5915 668 x +5206 -144 3636 -144 x +2072 -144 1360 668 x +648 1481 648 3271 x +7200 fwd_x +end_ol + } def +/TAA { start_ol +2304 2729 m +2304 7848 l +576 7848 l +576 9144 l +4032 9144 l +4032 2729 l +4032 1947 4273 1621 x +4516 1296 5096 1296 x +6480 1296 l +6480 0 l +4611 0 l +3378 0 2840 631 x +2304 1262 2304 2729 x +7200 fwd_x +end_ol + } def +/UAA { start_ol +1296 6552 m +4680 6552 l +4680 1296 l +6840 1296 l +6840 0 l +792 0 l +792 1296 l +2952 1296 l +2952 5256 l +1296 5256 l +1296 6552 l +2952 9792 m +4680 9792 l +4680 7776 l +2952 7776 l +2952 9792 l +7200 fwd_x +end_ol + } def +/VAA { start_ol +6264 360 m +5828 108 5328 -18 x +4827 -144 4251 -144 x +2727 -144 1867 761 x +1008 1667 1008 3270 x +1008 4879 1873 5787 x +2738 6696 4262 6696 x +4792 6696 5284 6572 x +5775 6449 6264 6192 x +6264 4608 l +5884 4920 5431 5088 x +4979 5256 4494 5256 x +3647 5256 3191 4739 x +2736 4223 2736 3270 x +2736 2317 3191 1806 x +3647 1296 4494 1296 x +4997 1296 5434 1455 x +5873 1616 6264 1944 x +6264 360 l +7200 fwd_x +end_ol + } def +/WAA { start_ol +6336 288 m +5923 72 5469 -36 x +5016 -144 4515 -144 x +2737 -144 1800 1021 x +864 2187 864 4388 x +864 6597 1800 7762 x +2737 8928 4515 8928 x +5016 8928 5475 8820 x +5935 8712 6336 8496 x +6336 6552 l +5887 6962 5465 7152 x +5043 7344 4594 7344 x +3638 7344 3151 6599 x +2664 5854 2664 4388 x +2664 2929 3151 2184 x +3638 1440 4594 1440 x +5043 1440 5465 1630 x +5887 1821 6336 2232 x +6336 288 l +7200 fwd_x +end_ol + } def +/XAA { start_ol +2592 959 m +2592 -2520 l +864 -2520 l +864 6552 l +2592 6552 l +2592 5529 l +2860 6109 3299 6402 x +3739 6696 4331 6696 x +5455 6696 6075 5800 x +6696 4905 6696 3276 x +6696 1624 6066 740 x +5437 -144 4272 -144 x +3745 -144 3326 130 x +2908 405 2592 959 x +4968 3276 m +4968 4203 4653 4729 x +4339 5256 3785 5256 x +3232 5256 2911 4729 x +2592 4203 2592 3276 x +2592 2349 2911 1822 x +3232 1296 3785 1296 x +4339 1296 4653 1822 x +4968 2349 4968 3276 x +7200 fwd_x +end_ol + } def +/YAA { start_ol +792 8784 m +6336 8784 l +6336 7554 l +3355 0 l +1584 0 l +4446 7272 l +792 7272 l +792 8784 l +7200 fwd_x +end_ol + } def +/ZAA { start_ol +4136 8640 m +3579 6408 l +4771 6408 l +5322 8640 l +6636 8640 l +6067 6408 l +7200 6408 l +7200 5112 l +5756 5112 l +5322 3456 l +6525 3456 l +6525 2160 l +5010 2160 l +4459 0 l +3162 0 l +3714 2160 l +2511 2160 l +1959 0 l +662 0 l +1215 2160 l +0 2160 l +0 3456 l +1525 3456 l +1959 5112 l +675 5112 l +675 6408 l +2282 6408 l +2833 8640 l +4136 8640 l +4459 5112 m +3256 5112 l +2822 3456 l +4025 3456 l +4459 5112 l +7200 fwd_x +end_ol + } def +/aAA { start_ol +3668 3960 m +3090 3960 2732 3585 x +2376 3211 2376 2595 x +2376 1978 2732 1600 x +3090 1224 3668 1224 x +4248 1224 4608 1606 x +4968 1990 4968 2595 x +4968 3211 4610 3585 x +4253 3960 3668 3960 x +2389 4681 m +1713 4908 1360 5394 x +1008 5881 1008 6585 x +1008 7669 1723 8298 x +2439 8928 3668 8928 x +4905 8928 5620 8298 x +6336 7669 6336 6585 x +6336 5887 5989 5400 x +5643 4914 4980 4681 x +5718 4457 6134 3880 x +6552 3304 6552 2497 x +6552 1233 5801 544 x +5051 -144 3668 -144 x +2292 -144 1542 544 x +792 1233 792 2497 x +792 3309 1215 3885 x +1638 4462 2389 4681 x +2592 6453 m +2592 5934 2881 5630 x +3170 5328 3668 5328 x +4173 5328 4462 5630 x +4752 5934 4752 6453 x +4752 6964 4462 7261 x +4173 7560 3668 7560 x +3175 7560 2883 7259 x +2592 6959 2592 6453 x +7200 fwd_x +end_ol + } def +/bAA { start_ol +2664 7344 m +2664 4752 l +3369 4752 l +4214 4752 4555 5042 x +4896 5332 4896 6048 x +4896 6763 4555 7053 x +4214 7344 3369 7344 x +2664 7344 l +936 8784 m +3305 8784 l +5112 8784 5904 8139 x +6696 7494 6696 6048 x +6696 4601 5904 3956 x +5112 3312 3305 3312 x +2664 3312 l +2664 0 l +936 0 l +936 8784 l +7200 fwd_x +end_ol + } def +/cAA { start_ol +4680 3351 m +4680 4214 4351 4735 x +4023 5256 3486 5256 x +2955 5256 2629 4737 x +2304 4219 2304 3351 x +2304 2476 2629 1957 x +2955 1440 3486 1440 x +4023 1440 4351 1960 x +4680 2481 4680 3351 x +6408 484 m +6408 -1105 5702 -1812 x +4998 -2520 3414 -2520 x +2880 -2520 2358 -2449 x +1836 -2378 1296 -2232 x +1296 -648 l +1774 -905 2268 -1028 x +2763 -1152 3287 -1152 x +4000 -1152 4340 -802 x +4680 -452 4680 290 x +4680 1003 l +4429 532 4016 301 x +3603 72 3009 72 x +1891 72 1233 947 x +576 1822 576 3323 x +576 4874 1233 5784 x +1891 6696 2998 6696 x +3556 6696 3992 6428 x +4429 6160 4680 5673 x +4680 6552 l +6408 6552 l +6408 484 l +7200 fwd_x +end_ol + } def +/dAA { start_ol +3960 4878 m +3960 5040 l +1305 5040 l +1305 4725 l +1305 4473 1125 4473 x +936 4473 936 4725 x +936 5409 l +4329 5409 l +4329 4824 l +2846 187 l +2782 0 2664 0 x +2590 0 2535 52 x +2481 106 2481 178 x +2481 223 2499 294 x +3960 4878 l +5400 fwd_x +end_ol + } def +/eAA { start_ol +2637 1035 m +2727 1035 l +2988 1035 3168 868 x +3348 702 3348 450 x +3348 198 3168 27 x +2988 -144 2727 -144 x +2637 -144 l +2376 -144 2196 27 x +2016 198 2016 450 x +2016 702 2196 868 x +2376 1035 2637 1035 x +5400 fwd_x +end_ol + } def +/fAA { start_ol +1089 4772 m +1089 4867 1264 5041 x +1440 5214 1827 5383 x +2214 5553 2673 5553 x +3348 5553 3802 5153 x +4257 4754 4257 4171 x +4257 3651 3964 3346 x +3672 3042 3330 2952 x +3861 2734 4167 2351 x +4473 1967 4473 1507 x +4473 821 3919 338 x +3366 -144 2592 -144 x +2061 -144 1453 121 x +846 388 846 613 x +846 676 900 730 x +954 785 1017 785 x +1080 785 1269 644 x +1458 505 1809 364 x +2160 225 2601 225 x +3213 225 3658 604 x +4104 983 4104 1507 x +4104 2040 3622 2424 x +3141 2808 2477 2808 x +2232 2808 2232 2997 x +2232 3177 2475 3177 x +3888 3177 3888 4162 x +3888 4601 3537 4892 x +3186 5184 2664 5184 x +2286 5184 2020 5095 x +1755 5006 1651 4896 x +1548 4785 1449 4696 x +1350 4608 1269 4608 x +1197 4608 1143 4655 x +1089 4703 1089 4772 x +5400 fwd_x +end_ol + } def +/gAA { start_ol +2849 3168 m +2504 3168 2229 3080 x +1955 2992 1786 2900 x +1618 2808 1539 2808 x +1368 2808 1368 3004 x +1368 5409 l +3865 5409 l +4113 5409 4113 5229 x +4113 5040 3865 5040 x +1737 5040 l +1737 3267 l +2381 3537 2902 3537 x +3585 3537 4028 3043 x +4473 2549 4473 1795 x +4473 942 3963 399 x +3453 -144 2664 -144 x +2318 -144 1976 -36 x +1635 72 1407 219 x +1179 367 1035 511 x +891 655 891 726 x +891 798 945 852 x +999 906 1071 906 x +1134 906 1323 735 x +1512 565 1857 394 x +2203 225 2647 225 x +3291 225 3697 664 x +4104 1104 4104 1813 x +4104 2414 3755 2791 x +3406 3168 2849 3168 x +5400 fwd_x +end_ol + } def +/iAA { start_ol +2889 3744 m +2889 369 l +4298 369 l +4545 369 4545 189 x +4545 0 4302 0 x +1170 0 l +936 0 936 189 x +936 369 1164 369 x +2520 369 l +2520 3375 l +1524 3375 l +1296 3375 1296 3564 x +1296 3744 1527 3744 x +2889 3744 l +2871 5616 m +2871 4680 l +2376 4680 l +2376 5616 l +2871 5616 l +5400 fwd_x +end_ol + } def +/jAA { start_ol +4032 1054 m +4032 1387 3744 1567 x +3456 1747 3024 1813 x +2592 1881 2160 1948 x +1728 2016 1440 2242 x +1152 2469 1152 2868 x +1152 3310 1568 3598 x +1984 3888 2620 3888 x +3362 3888 3816 3474 x +3816 3507 l +3816 3744 4038 3744 x +4185 3744 4185 3495 x +4185 2883 l +4185 2643 4038 2643 x +3847 2643 3816 2850 x +3781 3157 3466 3337 x +3152 3519 2655 3519 x +2166 3519 1843 3323 x +1521 3128 1521 2837 x +1521 2565 1827 2418 x +2133 2273 2562 2201 x +2993 2130 3426 2058 x +3861 1986 4131 1731 x +4401 1476 4401 1046 x +4401 532 3911 193 x +3422 -144 2673 -144 x +1836 -144 1305 342 x +1305 243 l +1305 0 1152 0 x +936 0 936 243 x +936 992 l +936 1235 1152 1235 x +1305 1235 1305 1037 x +1305 973 l +1305 667 1696 445 x +2089 225 2647 225 x +3241 225 3636 459 x +4032 693 4032 1054 x +5400 fwd_x +end_ol + } def +/kAA { start_ol +2884 3519 m +2722 3519 2574 3486 x +2426 3454 2296 3386 x +2166 3317 2076 3258 x +1986 3198 1883 3088 x +1780 2977 1740 2927 x +1699 2877 1614 2763 x +1530 2648 1521 2639 x +1521 369 l +1926 369 l +2169 369 2169 189 x +2169 0 1927 0 x +754 0 l +504 0 504 189 x +504 369 752 369 x +1152 369 l +1152 3375 l +831 3375 l +576 3375 576 3577 x +576 3744 825 3744 x +1521 3744 l +1521 3124 l +1906 3566 2202 3727 x +2498 3888 2919 3888 x +3521 3888 3925 3535 x +4329 3183 4329 2660 x +4329 369 l +4610 369 l +4833 369 4833 189 x +4833 0 4604 0 x +3684 0 l +3456 0 3456 189 x +3456 369 3678 369 x +3960 369 l +3960 2598 l +3960 2986 3668 3252 x +3377 3519 2884 3519 x +5400 fwd_x +end_ol + } def +/lAA { start_ol +2704 3888 m +3570 3888 4165 3297 x +4761 2706 4761 1849 x +4761 1019 4156 437 x +3552 -144 2704 -144 x +1847 -144 1247 442 x +648 1028 648 1876 x +648 2706 1247 3297 x +1847 3888 2704 3888 x +2704 3519 m +2000 3519 1508 3040 x +1017 2562 1017 1876 x +1017 1190 1508 707 x +2000 225 2704 225 x +3399 225 3895 703 x +4392 1181 4392 1849 x +4392 2562 3904 3040 x +3417 3519 2704 3519 x +5400 fwd_x +end_ol + } def +/mAA { start_ol +1665 3744 m +3588 3744 l +3825 3744 3825 3564 x +3825 3375 3588 3375 x +1665 3375 l +1665 978 l +1665 637 1935 430 x +2205 225 2673 225 x +3051 225 3478 327 x +3906 430 4167 583 x +4257 637 4311 637 x +4374 637 4428 583 x +4482 529 4482 457 x +4482 259 3874 57 x +3267 -144 2691 -144 x +2052 -144 1674 156 x +1296 457 1296 959 x +1296 3375 l +669 3375 l +432 3375 432 3564 x +432 3744 669 3744 x +1296 3744 l +1296 4800 l +1296 5040 1485 5040 x +1665 5040 1665 4800 x +1665 3744 l +5400 fwd_x +end_ol + } def +/nAA { start_ol +3960 2598 m +3960 3004 3655 3261 x +3350 3519 2857 3519 x +2480 3519 2233 3369 x +1986 3220 1620 2787 x +1521 2670 l +1521 369 l +1920 369 l +2169 369 2169 189 x +2169 0 1919 0 x +744 0 l +504 0 504 189 x +504 369 743 369 x +1152 369 l +1152 5040 l +671 5040 l +432 5040 432 5229 x +432 5409 672 5409 x +1521 5409 l +1521 3130 l +1861 3546 2174 3717 x +2488 3888 2901 3888 x +3530 3888 3929 3531 x +4329 3174 4329 2624 x +4329 369 l +4728 369 l +4977 369 4977 189 x +4977 0 4726 0 x +3553 0 l +3312 0 3312 189 x +3312 369 3555 369 x +3960 369 l +3960 2598 l +5400 fwd_x +end_ol + } def +/oAA { start_ol +3960 2995 m +3960 3744 l +4808 3744 l +5049 3744 5049 3577 x +5049 3375 4809 3375 x +4329 3375 l +4329 -241 l +4329 -814 3898 -1235 x +3468 -1656 2848 -1656 x +1825 -1656 l +1584 -1656 1584 -1467 x +1584 -1287 1825 -1287 x +2866 -1287 l +3323 -1287 3641 -967 x +3960 -649 3960 -196 x +3960 946 l +3368 72 2425 72 x +1662 72 1119 631 x +576 1190 576 1975 x +576 2760 1119 3324 x +1662 3888 2425 3888 x +3377 3888 3960 2995 x +2452 3519 m +1824 3519 1384 3067 x +945 2616 945 1975 x +945 1334 1384 887 x +1824 441 2452 441 x +3080 441 3520 883 x +3960 1325 3960 1957 x +3960 2624 3524 3071 x +3089 3519 2452 3519 x +5400 fwd_x +end_ol + } def +/pAA { start_ol +1017 3744 m +1017 3276 l +1237 3610 1450 3748 x +1662 3888 1945 3888 x +2518 3888 2814 3231 x +3316 3888 3846 3888 x +4250 3888 4541 3598 x +4833 3310 4833 2913 x +4833 369 l +5134 369 l +5373 369 5373 189 x +5373 0 5130 0 x +4464 0 l +4464 2878 l +4464 3130 4273 3324 x +4083 3519 3837 3519 x +3381 3519 2889 2765 x +2889 369 l +3190 369 l +3429 369 3429 189 x +3429 0 3186 0 x +2520 0 l +2520 2850 l +2520 3112 2347 3315 x +2175 3519 1945 3519 x +1503 3519 1017 2765 x +1017 369 l +1298 369 l +1521 369 1521 189 x +1521 0 1291 0 x +364 0 l +144 0 144 189 x +144 369 366 369 x +648 369 l +648 3375 l +366 3375 l +144 3375 144 3577 x +144 3744 376 3744 x +1017 3744 l +5400 fwd_x +end_ol + } def +/qAA { start_ol +4689 3088 m +4644 3088 4410 3285 x +4176 3483 3951 3483 x +3645 3483 3316 3263 x +2988 3045 2241 2352 x +2241 369 l +3804 369 l +4041 369 4041 180 x +4041 0 3803 0 x +1029 0 l +792 0 792 189 x +792 369 1029 369 x +1872 369 l +1872 3375 l +1236 3375 l +1008 3375 1008 3575 x +1008 3744 1240 3744 x +2241 3744 l +2241 2827 l +2862 3403 3249 3627 x +3636 3852 3978 3852 x +4338 3852 4608 3629 x +4878 3406 4878 3276 x +4878 3195 4824 3141 x +4770 3088 4689 3088 x +5400 fwd_x +end_ol + } def +/rAA { start_ol +4680 1800 m +936 1800 l +1035 1084 1530 654 x +2025 225 2754 225 x +3177 225 3618 360 x +4059 496 4329 714 x +4419 777 4473 777 x +4545 777 4594 722 x +4644 668 4644 596 x +4644 361 4000 108 x +3357 -144 2745 -144 x +1836 -144 1201 470 x +567 1085 567 1962 x +567 2781 1161 3334 x +1755 3888 2619 3888 x +3528 3888 4104 3316 x +4680 2745 4680 1800 x +936 2169 m +4302 2169 l +4194 2781 3735 3150 x +3276 3519 2619 3519 x +1962 3519 1512 3154 x +1062 2790 936 2169 x +5400 fwd_x +end_ol + } def +/sAA { start_ol +1123 3411 m +1123 3609 1729 3748 x +2335 3888 2674 3888 x +3299 3888 3705 3571 x +4113 3256 4113 2777 x +4113 369 l +4593 369 l +4833 369 4833 189 x +4833 0 4592 0 x +3744 0 l +3744 601 l +2950 -144 2041 -144 x +1416 -144 1031 174 x +648 492 648 1004 x +648 1587 1170 1949 x +1693 2313 2532 2313 x +3057 2313 3744 2124 x +3744 2770 l +3744 3108 3440 3313 x +3137 3519 2648 3519 x +2237 3519 1801 3375 x +1364 3231 1292 3231 x +1221 3231 1172 3285 x +1123 3339 1123 3411 x +3744 1004 m +3744 1810 l +3209 1944 2603 1944 x +1899 1944 1458 1679 x +1017 1416 1017 995 x +1017 645 1292 435 x +1569 225 2032 225 x +2505 225 2901 403 x +3298 583 3744 1004 x +5400 fwd_x +end_ol + } def +/tAA { start_ol +4545 5409 m +4545 369 l +5025 369 l +5265 369 5265 189 x +5265 0 5024 0 x +4176 0 l +4176 802 l +3533 -144 2529 -144 x +1724 -144 1149 451 x +576 1046 576 1876 x +576 2706 1149 3297 x +1724 3888 2529 3888 x +3524 3888 4176 2950 x +4176 5040 l +3695 5040 l +3456 5040 3456 5229 x +3456 5409 3696 5409 x +4545 5409 l +2556 3519 m +1886 3519 1415 3040 x +945 2562 945 1876 x +945 1181 1415 703 x +1886 225 2565 225 x +3234 225 3704 703 x +4176 1181 4176 1858 x +4176 2562 3709 3040 x +3243 3519 2556 3519 x +5400 fwd_x +end_ol + } def +/uAA { start_ol +4648 4968 m +4630 4968 4428 4986 x +4225 5004 3939 5022 x +3654 5040 3433 5040 x +3002 5040 2729 4830 x +2457 4622 2457 4285 x +2457 3744 l +4158 3744 l +4401 3744 4401 3564 x +4401 3375 4158 3375 x +2457 3375 l +2457 369 l +4019 369 l +4257 369 4257 189 x +4257 0 4020 0 x +1244 0 l +1008 0 1008 189 x +1008 369 1240 369 x +2088 369 l +2088 3375 l +1316 3375 l +1080 3375 1080 3564 x +1080 3744 1316 3744 x +2088 3744 l +2088 4287 l +2088 4776 2471 5092 x +2856 5409 3447 5409 x +4064 5409 4674 5301 x +4833 5259 4833 5134 x +4833 4968 4648 4968 x +5400 fwd_x +end_ol + } def +/vAA { start_ol +1305 3744 m +1305 3004 l +1660 3483 2023 3685 x +2387 3888 2893 3888 x +3720 3888 4276 3333 x +4833 2778 4833 1975 x +4833 1172 4272 622 x +3712 72 2893 72 x +1900 72 1305 937 x +1305 -1287 l +2152 -1287 l +2385 -1287 2385 -1467 x +2385 -1656 2147 -1656 x +453 -1656 l +216 -1656 216 -1467 x +216 -1287 455 -1287 x +936 -1287 l +936 3375 l +455 3375 l +216 3375 216 3577 x +216 3744 456 3744 x +1305 3744 l +2884 3519 m +2227 3519 1766 3066 x +1305 2614 1305 1975 x +1305 1334 1766 887 x +2227 441 2884 441 x +3541 441 4002 883 x +4464 1325 4464 1957 x +4464 2624 4010 3071 x +3558 3519 2884 3519 x +5400 fwd_x +end_ol + } def +/wAA { start_ol +4833 776 m +4833 697 4680 551 x +4527 405 4280 245 x +4034 86 3630 -28 x +3227 -144 2806 -144 x +1929 -144 1360 415 x +792 974 792 1840 x +792 2733 1373 3310 x +1956 3888 2851 3888 x +3684 3888 4248 3393 x +4248 3504 l +4248 3744 4437 3744 x +4617 3744 4617 3494 x +4617 2685 l +4617 2444 4437 2444 x +4275 2444 4248 2661 x +4221 3022 3804 3270 x +3388 3519 2824 3519 x +2082 3519 1621 3054 x +1161 2589 1161 1849 x +1161 1136 1625 680 x +2091 225 2824 225 x +3801 225 4500 857 x +4590 945 4662 945 x +4734 945 4783 895 x +4833 847 4833 776 x +5400 fwd_x +end_ol + } def +/xAA { start_ol +2889 5409 m +2889 369 l +4298 369 l +4545 369 4545 189 x +4545 0 4297 0 x +1102 0 l +864 0 864 189 x +864 369 1103 369 x +2520 369 l +2520 5040 l +1467 5040 l +1224 5040 1224 5229 x +1224 5409 1467 5409 x +2889 5409 l +5400 fwd_x +end_ol + } def +/yAA { start_ol +4236 5904 m +3641 5904 3264 5608 x +2889 5312 2889 4782 x +2889 -1800 l +2520 -1800 l +2520 4783 l +2520 5483 3006 5878 x +3492 6273 4234 6273 x +4473 6273 4473 6093 x +4473 5904 4236 5904 x +5400 fwd_x +end_ol + } def +/zAA { start_ol +2961 1966 m +4617 369 l +4698 369 l +4941 369 4941 189 x +4941 0 4698 0 x +3510 0 l +3267 0 3267 189 x +3267 369 3510 369 x +4095 369 l +2700 1705 l +1287 369 l +1899 369 l +2142 369 2142 189 x +2142 0 1899 0 x +702 0 l +459 0 459 189 x +459 369 702 369 x +783 369 l +2439 1966 l +972 3375 l +909 3375 l +666 3375 666 3564 x +666 3744 909 3744 x +1908 3744 l +2151 3744 2151 3564 x +2151 3375 1908 3375 x +1494 3375 l +2700 2208 l +3933 3375 l +3501 3375 l +3258 3375 3258 3564 x +3258 3744 3501 3744 x +4491 3744 l +4734 3744 4734 3564 x +4734 3375 4491 3375 x +4428 3375 l +2961 1966 l +5400 fwd_x +end_ol + } def +/ABA { start_ol +4698 3024 m +702 3024 l +459 3024 459 3213 x +459 3393 702 3393 x +4698 3393 l +4941 3393 4941 3213 x +4941 3024 4698 3024 x +4698 1728 m +702 1728 l +459 1728 459 1917 x +459 2097 702 2097 x +4698 2097 l +4941 2097 4941 1917 x +4941 1728 4698 1728 x +5400 fwd_x +end_ol + } def +/BBA { start_ol +4401 3150 m +4401 2250 l +4401 1188 3929 522 x +3459 -144 2704 -144 x +1949 -144 1478 522 x +1008 1188 1008 2250 x +1008 3150 l +1008 4221 1478 4887 x +1949 5553 2704 5553 x +3459 5553 3929 4887 x +4401 4221 4401 3150 x +2704 225 m +3323 225 3677 851 x +4032 1478 4032 2337 x +4032 2511 l +1377 2511 l +1377 2337 l +1377 1441 1744 832 x +2113 225 2704 225 x +2704 5184 m +2085 5184 1731 4569 x +1377 3955 1377 3112 x +1377 2880 l +4032 2880 l +4032 3112 l +4032 3991 3663 4587 x +3295 5184 2704 5184 x +5400 fwd_x +end_ol + } def +/CBA { start_ol +4176 2545 m +4176 2991 3902 3182 x +3629 3375 3263 3375 x +2817 3375 l +2817 369 l +3309 369 l +3774 369 3974 609 x +4176 850 4176 1181 x +4176 2545 l +1089 1198 m +1089 752 1375 560 x +1663 369 2001 369 x +2448 369 l +2448 3375 l +1955 3375 l +1490 3375 1289 3134 x +1089 2893 1089 2562 x +1089 1198 l +4545 1175 m +4545 960 4491 776 x +4438 592 4304 403 x +4170 216 3885 108 x +3601 0 3199 0 x +2817 0 l +2817 -1478 l +2817 -1549 2761 -1602 x +2706 -1656 2632 -1656 x +2558 -1656 2503 -1602 x +2448 -1549 2448 -1478 x +2448 0 l +1975 0 l +1620 0 1356 117 x +1094 234 965 421 x +835 610 777 803 x +720 996 720 1193 x +720 2568 l +720 2783 772 2966 x +826 3151 960 3339 x +1094 3528 1379 3636 x +1663 3744 2065 3744 x +2448 3744 l +2448 5223 l +2448 5294 2503 5347 x +2558 5400 2632 5400 x +2706 5400 2761 5347 x +2817 5294 2817 5223 x +2817 3744 l +3289 3744 l +3645 3744 3907 3627 x +4170 3511 4299 3322 x +4429 3133 4486 2939 x +4545 2747 4545 2550 x +4545 1175 l +5400 fwd_x +end_ol + } def +/DBA { start_ol +2889 7200 m +2889 -1800 l +2520 -1800 l +2520 7200 l +2889 7200 l +5400 fwd_x +end_ol + } def +/EBA { start_ol +2520 7200 m +2889 7200 l +2889 4509 l +2814 3240 1446 2727 x +1689 2646 1905 2520 x +2121 2394 2360 2182 x +2598 1971 2743 1642 x +2889 1314 2889 900 x +2889 -1800 l +2520 -1800 l +2520 900 l +2520 1287 2335 1606 x +2151 1926 1831 2137 x +1512 2349 1161 2484 x +810 2619 396 2700 x +774 2835 1012 2929 x +1251 3024 1570 3190 x +1890 3357 2074 3528 x +2259 3699 2389 3951 x +2520 4203 2520 4500 x +2520 7200 l +5400 fwd_x +end_ol + } def +/FBA { start_ol +2538 10 m +846 3375 l +702 3375 l +459 3375 459 3564 x +459 3744 702 3744 x +1737 3744 l +1980 3744 1980 3564 x +1980 3375 1737 3375 x +1269 3375 l +2745 412 l +4194 3375 l +3708 3375 l +3465 3375 3465 3564 x +3465 3744 3708 3744 x +4698 3744 l +4941 3744 4941 3564 x +4941 3375 4698 3375 x +4572 3375 l +2268 -1287 l +2853 -1287 l +3096 -1287 3096 -1467 x +3096 -1656 2853 -1656 x +756 -1656 l +513 -1656 513 -1467 x +513 -1287 756 -1287 x +1899 -1287 l +2538 10 l +5400 fwd_x +end_ol + } def +/GBA { start_ol +4236 -567 m +4473 -567 4473 -756 x +4473 -936 4234 -936 x +3492 -936 3006 -540 x +2520 -144 2520 558 x +2520 7164 l +2889 7164 l +2889 558 l +2889 27 3264 -270 x +3641 -567 4236 -567 x +5400 fwd_x +end_ol + } def +/HBA { start_ol +4257 3744 m +4257 3420 l +1573 369 l +4032 369 l +4032 855 l +4032 1089 4221 1089 x +4401 1089 4401 851 x +4401 0 l +1080 0 l +1080 324 l +3748 3375 l +1521 3375 l +1521 2892 l +1521 2655 1341 2655 x +1152 2655 1152 2893 x +1152 3744 l +4257 3744 l +5400 fwd_x +end_ol + } def +/IBA { start_ol +3384 1503 m +1008 1503 l +1008 1926 l +3013 5409 l +3753 5409 l +3753 1872 l +4034 1872 l +4257 1872 4257 1683 x +4257 1503 4034 1503 x +3753 1503 l +3753 369 l +4034 369 l +4257 369 4257 189 x +4257 0 4028 0 x +2748 0 l +2520 0 2520 189 x +2520 369 2746 369 x +3384 369 l +3384 1503 l +3384 1872 m +3384 5040 l +3168 5040 l +1296 1872 l +3384 1872 l +5400 fwd_x +end_ol + } def +/JBA { start_ol +1305 5409 m +1305 2959 l +1953 3888 2902 3888 x +3712 3888 4272 3310 x +4833 2733 4833 1894 x +4833 1046 4268 451 x +3703 -144 2902 -144 x +1926 -144 1305 793 x +1305 0 l +456 0 l +216 0 216 189 x +216 369 455 369 x +936 369 l +936 5040 l +455 5040 l +216 5040 216 5229 x +216 5409 456 5409 x +1305 5409 l +2884 3519 m +2227 3519 1766 3040 x +1305 2562 1305 1876 x +1305 1190 1766 707 x +2227 225 2884 225 x +3532 225 3998 703 x +4464 1181 4464 1849 x +4464 2553 4007 3036 x +3550 3519 2884 3519 x +5400 fwd_x +end_ol + } def +/KBA { start_ol +3024 0 m +2394 0 l +882 3375 l +513 3375 l +270 3375 270 3564 x +270 3744 513 3744 x +1872 3744 l +2124 3744 2124 3564 x +2124 3375 1872 3375 x +1287 3375 l +2637 369 l +2808 369 l +4131 3375 l +3519 3375 l +3276 3375 3276 3564 x +3276 3744 3519 3744 x +4887 3744 l +5130 3744 5130 3564 x +5130 3375 4887 3375 x +4518 3375 l +3024 0 l +5400 fwd_x +end_ol + } def +/LBA { start_ol +3114 270 m +3375 270 3604 306 x +3834 342 4014 394 x +4194 448 4360 552 x +4527 655 4639 726 x +4752 798 4869 947 x +4986 1095 5049 1171 x +5112 1247 5193 1408 x +5274 1570 5301 1629 x +5328 1687 5395 1848 x +5463 2010 5472 2028 x +5733 2028 l +5364 0 l +216 0 l +216 216 l +676 279 805 394 x +936 511 936 852 x +936 5195 l +936 5536 789 5670 x +643 5805 216 5832 x +216 6057 l +3258 6057 l +3258 5832 l +2702 5805 2548 5656 x +2394 5509 2394 5006 x +2394 772 l +2394 484 2547 376 x +2700 270 3114 270 x +5976 fwd_x +end_ol + } def +/NBA { start_ol +3312 2952 m +3105 2952 2947 3080 x +2790 3208 2691 3332 x +2592 3456 2520 3456 x +2295 3456 2133 3206 x +1971 2956 1971 2607 x +1971 921 l +1971 501 2090 372 x +2210 243 2619 216 x +2619 0 l +288 0 l +288 216 l +552 268 635 371 x +720 473 720 749 x +720 3363 l +720 3630 632 3740 x +544 3852 288 3888 x +288 4104 l +1935 4104 l +1935 3385 l +2250 3834 2533 4032 x +2817 4230 3150 4230 x +3465 4230 3672 4035 x +3879 3841 3879 3542 x +3879 3287 3721 3119 x +3564 2952 3312 2952 x +4032 fwd_x +end_ol + } def +/OBA { start_ol +2700 2799 m +3978 4077 l +4077 4176 4149 4176 x +4221 4176 4279 4122 x +4338 4068 4338 3987 x +4338 3915 4239 3816 x +2961 2538 l +4239 1251 l +4338 1161 4338 1080 x +4338 1008 4284 954 x +4230 900 4149 900 x +4068 900 3978 990 x +2700 2277 l +1422 990 l +1323 900 1251 900 x +1170 900 1116 954 x +1062 1008 1062 1080 x +1062 1161 1152 1251 x +2439 2538 l +1152 3816 l +1062 3915 1062 3987 x +1062 4068 1116 4122 x +1170 4176 1251 4176 x +1314 4176 1413 4077 x +2700 2799 l +5400 fwd_x +end_ol + } def +/PBA { start_ol +1881 4104 m +1881 3528 l +2091 3900 2361 4064 x +2632 4230 3035 4230 x +3785 4230 4250 3651 x +4716 3074 4716 2151 x +4716 1156 4227 524 x +3739 -108 2980 -108 x +2677 -108 2452 2 x +2228 113 1899 423 x +1899 -862 l +1899 -1318 2031 -1491 x +2164 -1665 2547 -1683 x +2547 -1872 l +144 -1872 l +144 -1656 l +468 -1602 558 -1507 x +648 -1414 648 -1136 x +648 3359 l +648 3637 553 3739 x +459 3843 162 3888 x +162 4104 l +1881 4104 l +2687 3744 m +2394 3744 2146 3496 x +1899 3249 1899 3114 x +1899 927 l +2119 378 2604 378 x +3384 378 3384 2025 x +3384 3744 2687 3744 x +5040 fwd_x +end_ol + } def +/QBA { start_ol +2025 4671 m +2025 369 l +4536 369 l +4536 1785 l +4536 2025 4725 2025 x +4905 2025 4905 1785 x +4905 0 l +820 0 l +576 0 576 189 x +576 369 813 369 x +1656 369 l +1656 4671 l +813 4671 l +576 4671 576 4860 x +576 5040 813 5040 x +2867 5040 l +3105 5040 3105 4860 x +3105 4671 2867 4671 x +2025 4671 l +5400 fwd_x +end_ol + } def +/RBA { start_ol +-2727 5733 m +-1539 4761 l +-1422 4662 -1422 4572 x +-1422 4500 -1476 4446 x +-1530 4392 -1602 4392 x +-1665 4392 -1764 4464 x +-2727 5256 l +-3690 4464 l +-3789 4392 -3852 4392 x +-3924 4392 -3978 4446 x +-4032 4500 -4032 4572 x +-4032 4644 -3915 4752 x +-2727 5733 l +0 fwd_x +end_ol + } def +/SBA { start_ol +3702 3141 m +3900 3141 4024 3017 x +4149 2893 4149 2691 x +4149 2367 3778 2367 x +3582 2367 3495 2475 x +3409 2583 3396 2691 x +3384 2799 3354 2799 x +3247 2799 2970 2408 x +2692 2019 2556 1741 x +2556 1425 2443 887 x +2332 349 2332 286 x +2332 90 2478 90 x +2626 90 2783 176 x +2940 264 3171 511 x +3403 759 3490 865 x +3578 970 3865 1337 x +3934 1426 3969 1471 x +4080 1399 l +4037 1346 3852 1091 x +3667 835 3593 742 x +3519 650 3332 451 x +3146 252 3020 168 x +2895 85 2719 6 x +2542 -72 2374 -72 x +1728 -72 1521 1131 x +882 -72 369 -72 x +162 -72 13 70 x +-135 213 -135 423 x +-135 774 288 774 x +468 774 567 684 x +666 594 711 504 x +756 414 801 414 x +972 414 1503 1400 x +1530 1733 1629 2272 x +1728 2811 1728 2856 x +1728 2952 1629 2952 x +1287 2952 90 1346 x +-27 1418 l +306 1860 468 2058 x +630 2256 909 2568 x +1188 2880 1408 3010 x +1629 3141 1822 3141 x +2383 3141 2539 2063 x +3157 3141 3702 3141 x +3960 fwd_x +end_ol + } def +/TBA { start_ol +2358 2666 m +2358 2445 2137 2128 x +1917 1811 1917 1802 x +1917 1719 2183 1719 x +2435 1719 2786 1811 x +3578 3141 3929 3141 x +4091 3141 4091 2979 x +4091 2758 3785 2390 x +3479 2022 2921 1728 x +2480 1002 2039 690 x +2453 535 2579 289 x +3119 456 3884 1435 x +4001 1351 l +3191 345 2633 169 x +2714 -79 2714 -320 x +2714 -1039 2126 -1509 x +1537 -1980 798 -1980 x +650 -1980 541 -1838 x +432 -1696 432 -1522 x +432 -1068 965 -588 x +1498 -108 2071 132 x +2111 236 2111 330 x +2111 501 1937 616 x +1735 469 1625 403 x +1516 338 1341 276 x +1166 216 991 216 x +748 216 748 403 x +748 559 984 657 x +1220 756 1507 756 x +1716 756 1897 723 x +2334 1064 2703 1683 x +2325 1584 2091 1584 x +1766 1584 1567 1734 x +1368 1885 1368 2151 x +1368 2344 1512 2629 x +1656 2914 1656 2923 x +1656 2952 1630 2952 x +1297 2952 82 1296 x +-34 1379 l +739 2416 1036 2701 x +1486 3141 1842 3141 x +2358 3141 2358 2666 x +2029 -24 m +648 -847 648 -1522 x +648 -1818 798 -1818 x +1018 -1818 1299 -1443 x +1580 -1068 1756 -694 x +1932 -320 2029 -24 x +3888 fwd_x +end_ol + } def +/UBA { start_ol +4509 2304 m +891 2304 l +648 2304 648 2493 x +648 2673 891 2673 x +4509 2673 l +4752 2673 4752 2493 x +4752 2304 4509 2304 x +5400 fwd_x +end_ol + } def +/VBA { start_ol +2331 2457 m +2331 2151 2147 1755 x +1964 1359 1749 1053 x +1535 747 1361 481 x +1188 216 1188 144 x +1188 72 1279 72 x +1513 72 2075 670 x +2638 1269 3385 2286 x +3772 3024 l +4897 3114 l +3277 72 l +3286 72 3394 108 x +3502 144 3529 157 x +3556 171 3664 216 x +3772 261 3830 306 x +3889 351 4001 427 x +4114 504 4208 594 x +4303 684 4429 810 x +4555 936 4690 1098 x +4825 1260 4978 1458 x +5095 1377 l +4771 954 4487 670 x +4204 387 3943 234 x +3682 81 3560 27 x +3439 -27 3196 -99 x +2224 -1980 972 -1980 x +698 -1980 492 -1851 x +288 -1723 288 -1522 x +288 -1309 450 -1114 x +612 -921 886 -763 x +1161 -607 1435 -482 x +1710 -357 2016 -228 x +2115 -191 2160 -173 x +3141 1827 l +2412 828 1986 378 x +1562 -72 1229 -72 x +969 -72 808 130 x +648 333 648 648 x +648 1008 828 1413 x +1009 1818 1224 2101 x +1438 2385 1618 2610 x +1800 2835 1800 2880 x +1800 2952 1716 2952 x +1320 2952 105 1323 x +-20 1404 l +1293 3132 1783 3132 x +2017 3132 2173 2934 x +2331 2736 2331 2457 x +567 -1595 m +567 -1706 672 -1779 x +778 -1854 927 -1854 x +1460 -1854 2088 -348 x +567 -1068 567 -1595 x +4896 fwd_x +end_ol + } def +/WBA { start_ol +4545 490 m +4545 415 4410 273 x +4275 131 3982 -5 x +3690 -144 3357 -144 x +2907 -144 2641 173 x +2376 490 2376 999 x +2376 3375 l +1827 3375 l +1584 3375 1584 3559 x +1584 3744 1827 3744 x +2745 3744 l +2745 1003 l +2745 225 3357 225 x +3591 225 3775 291 x +3960 358 4050 441 x +4140 523 4225 589 x +4311 657 4365 657 x +4392 657 4432 644 x +4473 632 4509 590 x +4545 549 4545 490 x +5400 fwd_x +end_ol + } def +/XBA { start_ol +3960 2598 m +3960 3004 3655 3261 x +3350 3519 2857 3519 x +2480 3519 2233 3369 x +1986 3220 1620 2787 x +1521 2670 l +1521 369 l +1920 369 l +2169 369 2169 189 x +2169 0 1919 0 x +744 0 l +504 0 504 189 x +504 369 743 369 x +1152 369 l +1152 4167 l +671 4167 l +432 4167 432 4351 x +432 4536 671 4536 x +1152 4536 l +1152 5040 l +671 5040 l +432 5040 432 5229 x +432 5409 672 5409 x +1521 5409 l +1521 4536 l +2790 4536 l +3033 4536 3033 4351 x +3033 4167 2790 4167 x +1521 4167 l +1521 3130 l +1861 3546 2174 3717 x +2488 3888 2901 3888 x +3530 3888 3929 3531 x +4329 3174 4329 2624 x +4329 369 l +4728 369 l +4977 369 4977 189 x +4977 0 4726 0 x +3553 0 l +3312 0 3312 189 x +3312 369 3555 369 x +3960 369 l +3960 2598 l +5400 fwd_x +end_ol + } def +/YBA { start_ol +2664 2187 m +2664 2853 2926 3649 x +3189 4446 3481 4941 x +3775 5436 3904 5436 x +3973 5436 4025 5382 x +4077 5328 4077 5256 x +4077 5157 3942 4891 x +3808 4626 3645 4306 x +3481 3987 3346 3402 x +3213 2817 3213 2160 x +3213 783 4052 -837 x +4077 -900 4077 -936 x +4077 -1008 4020 -1062 x +3964 -1116 3895 -1116 x +3758 -1116 3469 -625 x +3181 -135 2922 675 x +2664 1485 2664 2187 x +5400 fwd_x +end_ol + } def +/ZBA { start_ol +1963 5553 m +3090 5553 3853 4707 x +4617 3861 4617 2513 x +4617 1341 4106 598 x +3596 -144 2785 -144 x +2126 -144 1675 356 x +1224 858 1224 1584 x +1224 2264 1670 2756 x +2117 3249 2730 3249 x +3678 3249 4230 2155 x +4248 2495 4248 2540 x +4248 3065 4116 3499 x +3985 3934 3768 4205 x +3552 4477 3304 4681 x +3055 4884 2788 4989 x +2523 5094 2328 5139 x +2134 5184 1999 5184 x +1747 5184 1597 5148 x +1449 5112 1422 5112 x +1350 5112 1300 5160 x +1251 5208 1251 5272 x +1251 5384 1462 5468 x +1675 5553 1963 5553 x +4176 1672 m +4059 1887 3981 2008 x +3904 2129 3710 2374 x +3516 2621 3268 2750 x +3019 2880 2740 2880 x +2270 2880 1931 2495 x +1593 2111 1593 1584 x +1593 1011 1931 617 x +2270 225 2776 225 x +3317 225 3651 587 x +3985 949 4176 1672 x +5400 fwd_x +end_ol + } def +/aBA { start_ol +2736 -630 m +2736 -1080 l +-2664 -1080 l +-2664 -630 l +2736 -630 l +0 fwd_x +end_ol + } def +/bBA { start_ol +5400 -702 m +5400 -1152 l +0 -1152 l +0 -702 l +5400 -702 l +5400 fwd_x +end_ol + } def +/cBA { start_ol +1368 -936 m +1368 -837 1501 -571 x +1636 -306 1800 13 x +1963 333 2097 918 x +2232 1503 2232 2160 x +2232 3546 1392 5157 x +1368 5220 1368 5256 x +1368 5328 1424 5382 x +1480 5436 1549 5436 x +1686 5436 1974 4945 x +2263 4455 2522 3645 x +2781 2835 2781 2133 x +2781 1467 2517 670 x +2255 -126 1962 -621 x +1669 -1116 1540 -1116 x +1471 -1116 1419 -1062 x +1368 -1008 1368 -936 x +5400 fwd_x +end_ol + } def +/dBA { start_ol +4176 1368 m +4176 1742 3946 1974 x +3717 2207 3377 2282 x +3038 2359 2633 2452 x +2228 2547 1885 2649 x +1543 2751 1311 3033 x +1080 3314 1080 3760 x +1080 4351 1545 4749 x +2012 5148 2713 5148 x +3489 5148 4032 4618 x +4032 4792 l +4032 5040 4196 5040 x +4401 5040 4401 4797 x +4401 3870 l +4401 3627 4196 3627 x +4039 3627 4032 3841 x +4005 4243 3634 4511 x +3264 4779 2740 4779 x +2180 4779 1814 4484 x +1449 4189 1449 3751 x +1449 3404 1684 3189 x +1919 2975 2266 2899 x +2614 2823 3013 2720 x +3413 2617 3750 2511 x +4088 2404 4316 2104 x +4545 1805 4545 1350 x +4545 696 4036 275 x +3529 -144 2740 -144 x +1795 -144 1233 501 x +1233 241 l +1233 0 1051 0 x +864 0 864 241 x +864 1242 l +864 1483 1060 1483 x +1224 1483 1233 1270 x +1251 832 1687 528 x +2125 225 2731 225 x +3351 225 3763 550 x +4176 876 4176 1368 x +5400 fwd_x +end_ol + } def +/eBA { start_ol +3960 0 m +3960 592 l +3211 -144 2340 -144 x +1804 -144 1478 178 x +1152 502 1152 1031 x +1152 3375 l +671 3375 l +432 3375 432 3564 x +432 3744 672 3744 x +1521 3744 l +1521 1032 l +1521 691 1756 457 x +1992 225 2331 225 x +3220 225 3960 1032 x +3960 3375 l +3333 3375 l +3096 3375 3096 3564 x +3096 3744 3337 3744 x +4329 3744 l +4329 369 l +4635 369 l +4878 369 4878 189 x +4878 0 4635 0 x +3960 0 l +5400 fwd_x +end_ol + } def +/fBA { start_ol +1872 1314 m +3069 1314 l +1764 -1071 l +1647 -1296 1485 -1296 x +1377 -1296 1300 -1219 x +1224 -1143 1224 -1035 x +1224 -1008 1242 -936 x +1872 1314 l +5400 fwd_x +end_ol + } def +end end +%%EndPrologue +%%EndPrologue +%%Page: 1 1 +paps_bop +(+ 36000 807000AAABAACAA+ 64800 807000EAAFAAGAA+ 93600 807000HAAIAA+ 115200 807000JAAKAALAAMAAIAALAAJAAMAA+ 180000 807000HAAKAAJAANAA)paps_exec +(>4750OAAPAAQAARAA+ 254300 807000SAATAAGAAUAAVAAQAALAA+ 311900 807000WAAQAAFAAXAA+ 347900 807000YAA+ 362300 807000ZAAaAA)paps_exec +(* 515800bAAFAAcAABAA+ 551800 807000JAA)paps_exec +36 797.000000 moveto 559 797.000000 lineto 0 setlinewidth stroke +(+ 36000 782000dAAeAAfAAgAA+ 63000 782000iAAjAA+ 79200 782000kAAlAAmAAnAAiAAkAAoAA+ 122400 782000pAAlAAqAArAA+ 149400 782000mAAnAAsAAkAA+ 176400 782000sAA+ 187200 782000tAArAAuAAiAAkAAiAAmAAiAAlAAkAA+ 246600 782000lAAuAA+ 262800 782000jAAvAAnAArAAqAAiAAwAAsAAxAA+ 316800 782000wAAlAAlAAqAAtAAiAAkAAsAAmAArAAjAAeAA)paps_exec +()paps_exec +(+ 36000 764000yAA+ 63000 764000zAA+ 73800 764000ABA+ 84600 764000qAA+ 95400 764000jAAiAAkAABBA+ 122400 764000wAAlAAjAACBA)paps_exec +(+ 36000 755000DBA)paps_exec +(+ 36000 746000EBA+ 63000 746000FBA+ 73800 746000ABA+ 84600 746000qAA+ 95400 746000jAAiAAkAABBA+ 122400 746000jAAiAAkAACBA)paps_exec +(+ 36000 737000DBA)paps_exec +(+ 36000 728000GBA+ 63000 728000HBA+ 73800 728000ABA+ 84600 728000qAA+ 95400 728000wAAlAAjAABBA)paps_exec +()paps_exec +()paps_exec +(+ 36000 700064dAAeAAIBAdAA+ 63000 700064iAAjAA+ 79200 700064mAAnAArAA+ 100800 700064jAArAAmAA+ 122400 700064lAAuAA+ 138600 700064sAAxAAoAArAAJBAqAAsAAiAAwAA+ 192600 700064wAAlAAkAAtAAiAAmAAiAAlAAkAAjAA+ 252000 700064rAAzAAvAAqAArAAjAAjAArAAtAA+ 306000 700064JBAFBA+ 322200 700064mAAnAArAA+ 343800 700064KBArAAwAAmAAlAAqAA+ 381600 700064tAArAAuAAiAAkAAiAAmAAiAAlAAkAA+ 441000 700064LBA+ 449208 700064ABA+ 460008 700064NBA+ 466272 700064OBA+ 477072 700064PBAeAA)paps_exec +()paps_exec +(+ 36000 681128yAA+ 63000 681128QBA+ 68490 682442RBA+ 68400 681128SBA+ 74592 681128ABA+ 85392 681128FBAvAATBA+ 102312 681128UBA+ 113112 681128HBAvAAVBA+ 131040 681128ABA+ 141840 681128UBAWBAXBA+ 163440 681128YBAFBA+ 179640 681128ZBAaBAbBA+ 201240 681128UBA+ 212040 681128HBA+ 222840 681128ZBAaBAbBA+ 239040 681128cBA)paps_exec +(+ 36000 672128DBA+ 187200 672128ZBAFBA+ 230400 672128ZBAFBA)paps_exec +(+ 36000 663128DBA)paps_exec +(+ 36000 653192EBA+ 63000 653192QBA+ 68490 654506RBA+ 68400 653192VBA+ 75528 653192ABA+ 86328 653192HBAvAASBA+ 103320 653192UBA+ 114120 653192zAAvAATBA+ 131040 653192ABA+ 141840 653192UBAWBAXBA+ 163440 653192YBAHBA+ 179640 653192ZBAaBAbBA+ 201240 653192UBA+ 212040 653192zAA+ 222840 653192ZBAaBAbBA+ 239040 653192cBA)paps_exec +(+ 36000 644192DBA+ 187200 644192ZBAFBA+ 230400 644192ZBAFBA)paps_exec +(+ 36000 635192DBA)paps_exec +(+ 36000 625256DBA+ 63000 625256QBA+ 68490 626570RBA+ 68400 625256TBA+ 74520 625256ABA+ 85320 625256zAAvAAVBA+ 103248 625256UBA+ 114048 625256FBAvAASBA+ 131040 625256ABA+ 141840 625256UBAWBAXBA+ 163440 625256YBAzAA+ 179640 625256ZBAaBAbBA+ 201240 625256UBA+ 212040 625256FBA+ 222840 625256ZBAaBAbBA+ 239040 625256cBA)paps_exec +(+ 36000 616256GBA+ 187200 616256ZBAFBA+ 230400 616256ZBAFBA)paps_exec +()paps_exec +(+ 36000 598256dBAeBAJBAjAAmAAiAAmAAeBAiAAkAAoAA+ 100800 598256dAAeAAfAAgAA+ 127800 598256iAAkAAmAAlAA+ 154800 598256dAAeAAIBAdAAfBA)paps_exec +()paps_exec +(+ 36000 579320yAA+ 63000 579320QBA+ 68490 580634RBA+ 68400 579320SBA+ 74592 579320ABA+ 85392 579320qAA+ 96192 579320jAAiAAkAABBA+ 123192 579320jAAiAAkAACBA+ 150192 579320vAATBA+ 161712 579320UBA+ 172512 579320qAA+ 183312 579320wAAlAAjAABBA+ 210312 579320vAAVBA+ 222840 579320ABA+ 233640 579320UBAWBAXBA+ 255240 579320YBAqAA+ 271440 579320jAAiAAkAABBA+ 298440 579320jAAiAAkAACBA+ 325440 579320ZBAaBAbBA+ 347040 579320UBA+ 357840 579320qAA+ 368640 579320wAAlAAjAABBA+ 395640 579320ZBAaBAbBA+ 411840 579320cBA)paps_exec +(+ 36000 570320DBA+ 333000 570320ZBAFBA+ 403200 570320ZBAFBA)paps_exec +(+ 36000 561320DBA)paps_exec +(+ 36000 551384EBA+ 63000 551384QBA+ 68490 552698RBA+ 68400 551384VBA+ 75528 551384ABA+ 86328 551384qAA+ 97128 551384wAAlAAjAABBA+ 124128 551384vAASBA+ 135720 551384UBA+ 146520 551384qAA+ 157320 551384jAAiAAkAABBA+ 184320 551384wAAlAAjAACBAvAATBA+ 217440 551384ABA+ 228240 551384UBAWBAXBA+ 249840 551384YBAqAA+ 266040 551384wAAlAAjAABBA+ 293040 551384ZBAaBAbBA+ 314640 551384UBA+ 325440 551384qAA+ 336240 551384jAAiAAkAABBA+ 363240 551384wAAlAAjAACBA+ 390240 551384ZBAaBAbBA+ 406440 551384cBA)paps_exec +(+ 36000 542384DBA+ 300600 542384ZBAFBA+ 397800 542384ZBAFBA)paps_exec +(+ 36000 533384DBA)paps_exec +(+ 36000 523448DBA+ 63000 523448QBA+ 68490 524762RBA+ 68400 523448TBA+ 74520 523448ABA+ 85320 523448qAA+ 96120 523448jAAiAAkAABBA+ 123120 523448wAAlAAjAACBA+ 150120 523448vAAVBA+ 162648 523448UBA+ 173448 523448qAA+ 184248 523448jAAiAAkAABBA+ 211248 523448jAAiAAkAACBA+ 238248 523448vAASBA+ 249840 523448ABA+ 260640 523448UBAWBAXBA+ 282240 523448YBAqAA+ 298440 523448jAAiAAkAABBA+ 325440 523448wAAlAAjAACBA+ 352440 523448ZBAaBAbBA+ 368640 523448UBA+ 379440 523448qAA+ 390240 523448jAAiAAkAABBA+ 417240 523448jAAiAAkAACBA+ 444240 523448ZBAaBAbBA+ 460440 523448cBA)paps_exec +(+ 36000 514448GBA+ 360000 514448ZBAFBA+ 451800 514448ZBAFBA)paps_exec +()paps_exec +paps_eop +showpage +%%Pages: 1 +%%Trailer +%%EOF