├── As3_data.mat ├── Matlab_opt.pdf ├── ex5_1.m ├── ex2_smart_charging.m ├── README.md ├── ex1_production.m ├── ex5_2.m ├── ex3_regression.m ├── max_temp_b.txt └── max_demand_b.txt /As3_data.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/UofR-ESI-Lab/optimization_tutorial/HEAD/As3_data.mat -------------------------------------------------------------------------------- /Matlab_opt.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/UofR-ESI-Lab/optimization_tutorial/HEAD/Matlab_opt.pdf -------------------------------------------------------------------------------- /ex5_1.m: -------------------------------------------------------------------------------- 1 | d = [10; 30; 50]; 2 | pb = [1/4, 5/12, 1/3]; 3 | n = length(d); 4 | c = 5; 5 | r = 10; %regular price 6 | s = 3; %discount price 7 | x_hat = 70; 8 | 9 | cvx_begin 10 | variable x; 11 | variable yr(n); 12 | variable ys(n); 13 | 14 | minimize c*x - pb*(r*yr+s*ys) 15 | subject to 16 | x<=75; 17 | yr <= d; 18 | yr + ys <=x*ones(n,1); 19 | x>=0; 20 | yr>=0; 21 | ys>=0; 22 | cvx_end 23 | 24 | %% profit 25 | profit_mean = -c*x + pb*(r*yr+s*ys); 26 | profit = -c*x + r*yr+s*ys; -------------------------------------------------------------------------------- /ex2_smart_charging.m: -------------------------------------------------------------------------------- 1 | clc 2 | clear 3 | %% 4 | load('As3_data') 5 | price = price'; 6 | cvx_begin 7 | variable p(288) 8 | minimize price * p 9 | subject to 10 | sum(p)==20*60/15; %kW15min 11 | 0<=p<=2; 12 | cvx_end 13 | %% 14 | yyaxis left 15 | plot(p) 16 | axis([0,288,0,2.2]) 17 | ylabel('Charging power (kW)') 18 | yyaxis right 19 | plot(price) 20 | axis([0,288,0,0.3]) 21 | ylabel('Real-time pricing ($/kWh)') 22 | timelabel={'0','4','8','12','16','20','24'}; 23 | fs =10; 24 | set(gca,'xtick',0:48:288,'xticklabel',timelabel,'fontsize',fs); 25 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # optimization_tutorial 2 | This workshop introduces basic concepts, models and algorithms in linear programming, convex optimization and stochastic optimization. A MATLAB-based modeling system for convex optimization, CVX, is covered. Case studies are presented including an production plan problem, smart electric vehicle charging, a newsvendor problem, and a regression model. The codes are provided for practice. The workshop is organized by IEEE South Sask section & PES/IAS Joint Chapter in collaboration with Engineering Graduate Student Association (EGSA) and the Faculty of Engineering and Applied Science at the University of Regina. 3 | -------------------------------------------------------------------------------- /ex1_production.m: -------------------------------------------------------------------------------- 1 | %% lp 1 2 | c = [-1,-1.25]; 3 | A = [0.03,0.06; 4 | 0.08,0.04; 5 | 1,0; 6 | 0,1; 7 | -1,0; 8 | 0,-1]; 9 | b = [30 44 500 400 0 0]; 10 | x = linprog(c,A,b) 11 | 12 | %% lp 2 13 | c = [-1,-1.25]; 14 | A = [0.03,0.06; 15 | 0.08,0.04]; 16 | b = [30 44]; 17 | lb = [0 0]; 18 | ub = [500 400]; 19 | x = linprog(c,A,b,[],[],lb,ub) 20 | 21 | %% CVX 22 | clear 23 | c = [1;1.25]; 24 | cvx_begin 25 | variable x(2); 26 | minimize -(c')*x 27 | subject to 28 | 0.03*x(1)+0.06*x(2)<=30; 29 | 0.08*x(1)+0.04*x(2)<=44; 30 | x(1)<=500; 31 | x(2)<=400; 32 | x(1)>=0; 33 | x(2)>=0; 34 | cvx_end 35 | x -------------------------------------------------------------------------------- /ex5_2.m: -------------------------------------------------------------------------------- 1 | clear 2 | clc 3 | close all 4 | 5 | c = 5; 6 | r = 10; %regular price 7 | s = 3; %discount price 8 | x_hat = 70; 9 | 10 | n = 1000; %number of samples 11 | % we have a (positive truncated) normal distribution for demand (can't have a negative demand... unless short selling....) 12 | sigma = 5; 13 | mu = 30; 14 | demand = max(normrnd(mu,sigma,[n,1]),0); 15 | yyaxis left 16 | histogram(demand,150,'normalization','probability'); 17 | 18 | ylabel('Probability') 19 | yyaxis right 20 | cdfplot(demand); 21 | xlabel('Demand') 22 | ylabel('Cumulative Probability') 23 | title(' ') 24 | %% 25 | cvx_begin 26 | variable x 27 | variable profit(n) 28 | variable yr(n) 29 | variable ys(n) 30 | minimize -sum(profit) 31 | subject to 32 | 0<=yr<=demand 33 | ys>=0 34 | yr + ys <= x 35 | profit == - c * x + r*yr + s*ys 36 | cvx_end 37 | 38 | %% profit 39 | profit_mean = -c*x + mean(r*yr+s*ys); 40 | profit = -c*x + r*yr+s*ys; 41 | figure 42 | yyaxis left 43 | histogram(profit,150,'normalization','probability'); 44 | 45 | ylabel('Probability') 46 | yyaxis right 47 | cdfplot(profit); 48 | xlabel('Profit') 49 | ylabel('Cumulative Probability') 50 | title(' ') -------------------------------------------------------------------------------- /ex3_regression.m: -------------------------------------------------------------------------------- 1 | clear 2 | close all 3 | clc 4 | 5 | X = load('max_temp_b.txt'); 6 | y = load('max_demand_b.txt'); 7 | 8 | [m,n] = size(X); 9 | 10 | plot(X,y,'o') 11 | hold on 12 | 13 | %% linear 14 | Phi = [X ones(m,1)]; 15 | theta = inv(Phi' * Phi) * Phi' * y; 16 | % theta = Phi \ y; 17 | % input used for prediction 18 | x_hat = linspace(min(X),max(X),100); % create a set of evenly spaced input points over the entire range of the input 19 | x_hat = x_hat'; 20 | m_hat = length(x_hat); 21 | Phi_hat = [x_hat ones(m_hat,1)]; 22 | y_hat = Phi_hat * theta; 23 | plot(x_hat,y_hat,'linewidth',1) 24 | 25 | %% 4th order polynomial 26 | Phi = [X.^4 X.^3 X.^2 X ones(m,1)]; 27 | % theta = inv(Phi' * Phi) * Phi' * y; 28 | theta = Phi \ y; 29 | 30 | x_hat = linspace(min(X),max(X),100); % create a set of evenly spaced input points over the entire range of the input 31 | x_hat = x_hat'; 32 | m_hat = length(x_hat); 33 | Phi_hat = [x_hat.^4 x_hat.^3 x_hat.^2 x_hat ones(m_hat,1)]; 34 | y_hat = Phi_hat * theta; 35 | 36 | plot(x_hat,y_hat,'linewidth',1) 37 | %% 38 | xlabel('High Temperature (F)') 39 | ylabel('Peak Hourly Demand (GW)') 40 | legend('Observed Data','linear equation','4^th order polynomial','location','NW') 41 | % 42 | -------------------------------------------------------------------------------- /max_temp_b.txt: -------------------------------------------------------------------------------- 1 | 3.9765000e+01 2 | 2.6100000e+01 3 | 1.9790244e+01 4 | 3.5100000e+01 5 | 4.1165000e+01 6 | 5.6065000e+01 7 | 6.5700000e+01 8 | 6.9100000e+01 9 | 6.4480000e+01 10 | 4.8600000e+01 11 | 5.3238462e+01 12 | 4.4100000e+01 13 | 4.0835000e+01 14 | 3.6000000e+01 15 | 2.6865000e+01 16 | 3.1835000e+01 17 | 3.7135000e+01 18 | 3.9060000e+01 19 | 2.8787500e+01 20 | 1.2900000e+01 21 | 2.4100000e+01 22 | 3.5865000e+01 23 | 2.7000000e+01 24 | 2.4963265e+01 25 | 2.1900000e+01 26 | 2.8900000e+01 27 | 3.2000000e+01 28 | 4.1935000e+01 29 | 5.0632500e+01 30 | 5.1100000e+01 31 | 3.5141667e+01 32 | 3.7327273e+01 33 | 3.3865000e+01 34 | 4.1935000e+01 35 | 5.6200000e+01 36 | 6.0253659e+01 37 | 6.0509434e+01 38 | 3.9900000e+01 39 | 3.7000000e+01 40 | 4.6000000e+01 41 | 3.8700000e+01 42 | 1.7100000e+01 43 | 3.4000000e+01 44 | 3.3761111e+01 45 | 3.2770000e+01 46 | 3.6000000e+01 47 | 3.6850000e+01 48 | 5.9165000e+01 49 | 5.9335000e+01 50 | 2.5000000e+01 51 | 2.1178947e+01 52 | 2.5935000e+01 53 | 3.1253571e+01 54 | 3.0765000e+01 55 | 3.5700000e+01 56 | 3.2000000e+01 57 | 3.5928000e+01 58 | 2.7713636e+01 59 | 2.1900000e+01 60 | 3.7685714e+01 61 | 3.4935000e+01 62 | 3.9765000e+01 63 | 6.7700000e+01 64 | 4.9535000e+01 65 | 3.9765000e+01 66 | 4.6000000e+01 67 | 3.5100000e+01 68 | 3.2000000e+01 69 | 3.0000000e+01 70 | 4.0835000e+01 71 | 4.2700000e+01 72 | 4.2100000e+01 73 | 6.1800000e+01 74 | 4.6765000e+01 75 | 4.5850000e+01 76 | 3.6850000e+01 77 | 4.4865000e+01 78 | 4.6900000e+01 79 | 5.6367568e+01 80 | 4.0535000e+01 81 | 4.2100000e+01 82 | 3.9765000e+01 83 | 4.1000000e+01 84 | 3.9765000e+01 85 | 4.8765000e+01 86 | 5.6835000e+01 87 | 4.5000000e+01 88 | 4.0904142e+01 89 | 4.3935000e+01 90 | 5.0935000e+01 91 | 6.4000000e+01 92 | 6.6465000e+01 93 | 4.6000000e+01 94 | 5.5000000e+01 95 | 6.2100000e+01 96 | 5.3865000e+01 97 | 6.1935000e+01 98 | 6.8000000e+01 99 | 7.2850000e+01 100 | 6.8935000e+01 101 | 6.6900000e+01 102 | 6.8000000e+01 103 | 6.3850000e+01 104 | 4.5000000e+01 105 | 4.8900000e+01 106 | 5.5765000e+01 107 | 6.6900000e+01 108 | 7.4835000e+01 109 | 7.8865000e+01 110 | 7.7470000e+01 111 | 6.3850000e+01 112 | 6.6900000e+01 113 | 7.0800000e+01 114 | 7.4200000e+01 115 | 7.3000000e+01 116 | 7.8865000e+01 117 | 7.5900000e+01 118 | 6.8935000e+01 119 | 5.7030000e+01 120 | 5.1970000e+01 121 | 5.5765000e+01 122 | 7.5000000e+01 123 | 7.8100000e+01 124 | 6.8185000e+01 125 | 6.1935000e+01 126 | 6.9100000e+01 127 | 7.2850000e+01 128 | 7.7935000e+01 129 | 6.0800000e+01 130 | 6.5550000e+01 131 | 6.4900000e+01 132 | 5.5704000e+01 133 | 4.9182857e+01 134 | 6.9100000e+01 135 | 6.2400000e+01 136 | 6.5700000e+01 137 | 5.7000000e+01 138 | 6.3250000e+01 139 | 6.2100000e+01 140 | 5.7900000e+01 141 | 5.9000000e+01 142 | 5.6835000e+01 143 | 5.6700000e+01 144 | 6.3850000e+01 145 | 6.8000000e+01 146 | 7.3765000e+01 147 | 7.9935000e+01 148 | 7.4520000e+01 149 | 6.6765000e+01 150 | 7.3765000e+01 151 | 8.0100000e+01 152 | 8.0471429e+01 153 | 7.7000000e+01 154 | 7.6700000e+01 155 | 7.2715000e+01 156 | 7.1550000e+01 157 | 8.6000000e+01 158 | 9.0000000e+01 159 | 8.7700000e+01 160 | 9.0000000e+01 161 | 8.9940000e+01 162 | 8.0865000e+01 163 | 8.2000000e+01 164 | 8.8935000e+01 165 | 8.5767500e+01 166 | 7.2550000e+01 167 | 8.0100000e+01 168 | 7.7254000e+01 169 | 6.4900000e+01 170 | 6.3850000e+01 171 | 6.7421429e+01 172 | 7.6835000e+01 173 | 8.1000000e+01 174 | 7.8100000e+01 175 | 7.5000000e+01 176 | 7.7000000e+01 177 | 7.9935000e+01 178 | 8.3835000e+01 179 | 8.1850000e+01 180 | 7.9313043e+01 181 | 7.5815000e+01 182 | 6.9666667e+01 183 | 7.5000000e+01 184 | 7.9800000e+01 185 | 7.3315000e+01 186 | 7.0000000e+01 187 | 8.0865000e+01 188 | 8.1850000e+01 189 | 8.0235000e+01 190 | 8.5623256e+01 191 | 8.1850000e+01 192 | 7.9000000e+01 193 | 8.2000000e+01 194 | 8.6000000e+01 195 | 7.7935000e+01 196 | 7.8865000e+01 197 | 8.2000000e+01 198 | 8.4900000e+01 199 | 8.6935000e+01 200 | 8.7100000e+01 201 | 8.6935000e+01 202 | 8.5230000e+01 203 | 8.5835000e+01 204 | 8.1000000e+01 205 | 7.7935000e+01 206 | 7.7935000e+01 207 | 8.1000000e+01 208 | 8.2000000e+01 209 | 8.1000000e+01 210 | 8.2000000e+01 211 | 8.4900000e+01 212 | 8.0100000e+01 213 | 8.4000000e+01 214 | 8.4000000e+01 215 | 8.2000000e+01 216 | 8.0865000e+01 217 | 8.2000000e+01 218 | 7.9935000e+01 219 | 8.3835000e+01 220 | 7.9000000e+01 221 | 7.6835000e+01 222 | 7.8100000e+01 223 | 7.2715000e+01 224 | 7.2850000e+01 225 | 7.7935000e+01 226 | 7.8100000e+01 227 | 7.4700000e+01 228 | 7.5900000e+01 229 | 7.6835000e+01 230 | 8.0100000e+01 231 | 8.2000000e+01 232 | 7.9000000e+01 233 | 8.0100000e+01 234 | 8.6000000e+01 235 | 8.5835000e+01 236 | 8.4765000e+01 237 | 8.7865000e+01 238 | 7.8100000e+01 239 | 7.8365000e+01 240 | 7.0800000e+01 241 | 6.8635000e+01 242 | 7.9000000e+01 243 | 8.2900000e+01 244 | 8.2000000e+01 245 | 8.3835000e+01 246 | 8.5835000e+01 247 | 8.7700000e+01 248 | 8.6000000e+01 249 | 8.6000000e+01 250 | 7.3950000e+01 251 | 7.4550000e+01 252 | 7.9000000e+01 253 | 6.5700000e+01 254 | 7.1100000e+01 255 | 7.9935000e+01 256 | 7.1600000e+01 257 | 7.7935000e+01 258 | 8.6935000e+01 259 | 7.1565000e+01 260 | 6.8000000e+01 261 | 7.3000000e+01 262 | 7.2715000e+01 263 | 7.3765000e+01 264 | 7.6700000e+01 265 | 7.9935000e+01 266 | 7.0000000e+01 267 | 7.3900000e+01 268 | 7.6700000e+01 269 | 7.0935000e+01 270 | 6.8000000e+01 271 | 7.4700000e+01 272 | 7.2715000e+01 273 | 7.0000000e+01 274 | 6.7700000e+01 275 | 5.9000000e+01 276 | 5.3865000e+01 277 | 5.6835000e+01 278 | 6.0100000e+01 279 | 6.3000000e+01 280 | 6.2100000e+01 281 | 6.5835000e+01 282 | 6.3000000e+01 283 | 6.8935000e+01 284 | 7.1100000e+01 285 | 7.5000000e+01 286 | 8.0700000e+01 287 | 7.7770000e+01 288 | 7.3765000e+01 289 | 7.2715000e+01 290 | 6.9218868e+01 291 | 5.1695000e+01 292 | 5.2935000e+01 293 | 5.5900000e+01 294 | 6.2100000e+01 295 | 5.3865000e+01 296 | 5.1100000e+01 297 | 5.6700000e+01 298 | 5.8835000e+01 299 | 5.3865000e+01 300 | 6.0865000e+01 301 | 4.7550000e+01 302 | 4.4775000e+01 303 | 3.7765000e+01 304 | 5.0000000e+01 305 | 6.4000000e+01 306 | 6.5700000e+01 307 | 5.9000000e+01 308 | 6.8000000e+01 309 | 6.8000000e+01 310 | 6.8770000e+01 311 | 7.1100000e+01 312 | 7.1420000e+01 313 | 4.9535000e+01 314 | 4.1935000e+01 315 | 3.6000000e+01 316 | 4.1000000e+01 317 | 5.2000000e+01 318 | 5.7000000e+01 319 | 6.5700000e+01 320 | 5.4525000e+01 321 | 3.7138462e+01 322 | 3.5933333e+01 323 | 3.1700000e+01 324 | 2.8900000e+01 325 | 3.5865000e+01 326 | 2.8765000e+01 327 | 2.8000000e+01 328 | 3.7765000e+01 329 | 4.4100000e+01 330 | 3.6000000e+01 331 | 3.4000000e+01 332 | 3.9900000e+01 333 | 3.7900000e+01 334 | 3.9900000e+01 335 | 3.9900000e+01 336 | 3.8835000e+01 337 | 3.1835000e+01 338 | 4.8000000e+01 339 | 4.8600000e+01 340 | 2.6186538e+01 341 | 2.8765000e+01 342 | 2.8000000e+01 343 | 3.4000000e+01 344 | 5.5900000e+01 345 | 5.4850000e+01 346 | 3.3415000e+01 347 | 3.1835000e+01 348 | 2.7000000e+01 349 | 4.9065000e+01 350 | 5.8535000e+01 351 | 3.2000000e+01 352 | 4.0835000e+01 353 | 3.7900000e+01 354 | 5.1865000e+01 355 | 3.0900000e+01 356 | 3.2000000e+01 357 | 1.4000000e+01 358 | 3.6000000e+01 359 | 5.5000000e+01 360 | 3.4935000e+01 361 | 5.0669565e+01 362 | 6.8000000e+01 363 | 6.4900000e+01 364 | 4.5850000e+01 365 | 3.9765000e+01 366 | 4.3800000e+01 367 | 2.8900000e+01 368 | 4.1000000e+01 369 | 3.4935000e+01 370 | 4.7040000e+01 371 | 3.7094737e+01 372 | 3.4300000e+01 373 | 3.9900000e+01 374 | 2.8765000e+01 375 | 2.5000000e+01 376 | 3.2000000e+01 377 | 2.7850000e+01 378 | 2.8900000e+01 379 | 3.3431579e+01 380 | 1.8496000e+01 381 | 1.5700000e+01 382 | 6.1000000e+00 383 | 2.3300000e+01 384 | 3.1520000e+01 385 | 1.9900000e+01 386 | 2.1000000e+01 387 | 2.0835000e+01 388 | 3.7000000e+01 389 | 4.9835000e+01 390 | 3.0000000e+01 391 | 1.7280000e+01 392 | 2.1000000e+01 393 | 2.5165000e+01 394 | 3.3100000e+01 395 | 2.5000000e+01 396 | 2.5000000e+01 397 | 2.9200000e+01 398 | 4.4100000e+01 399 | 3.6000000e+01 400 | 2.6865000e+01 401 | 1.9765000e+01 402 | 1.7235000e+01 403 | 3.9000000e+01 404 | 5.4850000e+01 405 | 5.1373913e+01 406 | 4.7700000e+01 407 | 5.2568182e+01 408 | 6.5835000e+01 409 | 4.5629412e+01 410 | 3.6850000e+01 411 | 3.3800000e+01 412 | 3.0765000e+01 413 | 3.0900000e+01 414 | 3.6850000e+01 415 | 4.8041860e+01 416 | 3.8686957e+01 417 | 2.5000000e+01 418 | 4.1301887e+01 419 | 2.9775000e+01 420 | 2.2835000e+01 421 | 2.8900000e+01 422 | 5.1100000e+01 423 | 5.2000000e+01 424 | 5.5765000e+01 425 | 3.4000000e+01 426 | 3.2000000e+01 427 | 1.9900000e+01 428 | 2.6100000e+01 429 | 3.7000000e+01 430 | 5.7000000e+01 431 | 6.9100000e+01 432 | 7.2000000e+01 433 | 6.6000000e+01 434 | 5.9935000e+01 435 | 5.5615000e+01 436 | 6.3850000e+01 437 | 3.2000000e+01 438 | 4.6000000e+01 439 | 5.1100000e+01 440 | 5.7765000e+01 441 | 5.5000000e+01 442 | 6.3000000e+01 443 | 7.2000000e+01 444 | 5.3100000e+01 445 | 3.9900000e+01 446 | 4.6000000e+01 447 | 5.6835000e+01 448 | 5.0000000e+01 449 | 5.3700000e+01 450 | 4.8032727e+01 451 | 5.5000000e+01 452 | 5.7900000e+01 453 | 6.0865000e+01 454 | 5.3920000e+01 455 | 4.7700000e+01 456 | 6.9700000e+01 457 | 6.1935000e+01 458 | 6.9100000e+01 459 | 5.7050000e+01 460 | 5.3100000e+01 461 | 6.2865000e+01 462 | 5.8115000e+01 463 | 3.6742857e+01 464 | 5.1100000e+01 465 | 5.7000000e+01 466 | 5.2800000e+01 467 | 5.3100000e+01 468 | 5.0935000e+01 469 | 5.4000000e+01 470 | 5.5900000e+01 471 | 4.8900000e+01 472 | 6.4000000e+01 473 | 6.8935000e+01 474 | 7.3000000e+01 475 | 6.6900000e+01 476 | 5.5765000e+01 477 | 5.3235000e+01 478 | 5.1100000e+01 479 | 5.9000000e+01 480 | 8.4900000e+01 481 | 8.7100000e+01 482 | 8.5835000e+01 483 | 8.6935000e+01 484 | 7.9935000e+01 485 | 5.9770000e+01 486 | 6.7065000e+01 487 | 7.3000000e+01 488 | 6.2100000e+01 489 | 6.3850000e+01 490 | 5.6700000e+01 491 | 6.0100000e+01 492 | 6.4900000e+01 493 | 6.7835000e+01 494 | 6.9100000e+01 495 | 7.3765000e+01 496 | 6.1000000e+01 497 | 6.2235000e+01 498 | 6.3850000e+01 499 | 7.2000000e+01 500 | 7.2850000e+01 501 | 7.9000000e+01 502 | 7.6835000e+01 503 | 5.7900000e+01 504 | 6.0865000e+01 505 | 7.3000000e+01 506 | 8.1000000e+01 507 | 8.2765000e+01 508 | 8.4000000e+01 509 | 8.3835000e+01 510 | 8.0550000e+01 511 | 8.2000000e+01 512 | 7.0935000e+01 513 | 7.8951351e+01 514 | 8.0550000e+01 515 | 6.8000000e+01 516 | 7.1100000e+01 517 | 6.7835000e+01 518 | 7.6835000e+01 519 | 7.7000000e+01 520 | 6.4765000e+01 521 | 6.8770000e+01 522 | 6.4000000e+01 523 | 7.7000000e+01 524 | 7.9935000e+01 525 | 8.0865000e+01 526 | 8.3835000e+01 527 | 7.5900000e+01 528 | 7.1191837e+01 529 | 7.0935000e+01 530 | 7.4835000e+01 531 | 7.7935000e+01 532 | 7.9800000e+01 533 | 8.0865000e+01 534 | 7.4835000e+01 535 | 7.4835000e+01 536 | 7.9000000e+01 537 | 8.2900000e+01 538 | 7.6835000e+01 539 | 8.2900000e+01 540 | 8.2765000e+01 541 | 8.5835000e+01 542 | 8.7100000e+01 543 | 8.1715000e+01 544 | 7.9935000e+01 545 | 7.8365000e+01 546 | 7.8865000e+01 547 | 7.2000000e+01 548 | 7.0785000e+01 549 | 6.6066667e+01 550 | 6.9100000e+01 551 | 7.3765000e+01 552 | 7.6835000e+01 553 | 8.0100000e+01 554 | 7.9000000e+01 555 | 7.5000000e+01 556 | 8.1000000e+01 557 | 8.2000000e+01 558 | 8.2000000e+01 559 | 8.1850000e+01 560 | 7.7935000e+01 561 | 7.7000000e+01 562 | 8.3835000e+01 563 | 8.6935000e+01 564 | 7.4424000e+01 565 | 6.8935000e+01 566 | 7.3000000e+01 567 | 7.3900000e+01 568 | 7.6835000e+01 569 | 7.9000000e+01 570 | 7.3000000e+01 571 | 7.9935000e+01 572 | 7.8235000e+01 573 | 7.8865000e+01 574 | 8.2000000e+01 575 | 8.2765000e+01 576 | 7.3102857e+01 577 | 8.0100000e+01 578 | 7.9935000e+01 579 | 8.1715000e+01 580 | 7.8100000e+01 581 | 7.8100000e+01 582 | 8.1000000e+01 583 | 7.5900000e+01 584 | 7.6700000e+01 585 | 7.8100000e+01 586 | 7.7935000e+01 587 | 8.9100000e+01 588 | 8.8635000e+01 589 | 8.0235000e+01 590 | 7.7284375e+01 591 | 8.1715000e+01 592 | 8.5835000e+01 593 | 8.6935000e+01 594 | 8.7865000e+01 595 | 8.9100000e+01 596 | 8.2765000e+01 597 | 8.0446154e+01 598 | 8.4900000e+01 599 | 8.0865000e+01 600 | 7.9000000e+01 601 | 7.0000000e+01 602 | 7.5900000e+01 603 | 8.0100000e+01 604 | 8.2000000e+01 605 | 7.9935000e+01 606 | 7.3765000e+01 607 | 7.6835000e+01 608 | 6.5835000e+01 609 | 6.8000000e+01 610 | 7.1865000e+01 611 | 7.5000000e+01 612 | 7.5900000e+01 613 | 7.9935000e+01 614 | 7.8865000e+01 615 | 8.2000000e+01 616 | 6.9253659e+01 617 | 7.3900000e+01 618 | 7.5765000e+01 619 | 7.4550000e+01 620 | 6.8000000e+01 621 | 6.9317241e+01 622 | 7.6730000e+01 623 | 7.9800000e+01 624 | 7.9935000e+01 625 | 7.3000000e+01 626 | 7.3615000e+01 627 | 7.5000000e+01 628 | 7.2850000e+01 629 | 8.1000000e+01 630 | 7.5000000e+01 631 | 7.3765000e+01 632 | 7.8100000e+01 633 | 7.5765000e+01 634 | 6.9865000e+01 635 | 6.3550000e+01 636 | 6.6765000e+01 637 | 6.5631250e+01 638 | 5.6835000e+01 639 | 5.4850000e+01 640 | 5.8835000e+01 641 | 5.7900000e+01 642 | 6.6000000e+01 643 | 5.7000000e+01 644 | 6.1935000e+01 645 | 6.4900000e+01 646 | 6.2897143e+01 647 | 5.9000000e+01 648 | 6.9550000e+01 649 | 5.9869767e+01 650 | 5.5000000e+01 651 | 5.5000000e+01 652 | 5.5000000e+01 653 | 4.2865000e+01 654 | 4.3000000e+01 655 | 3.9765000e+01 656 | 3.9120000e+01 657 | 4.9250000e+01 658 | 5.5615000e+01 659 | 6.2700000e+01 660 | 7.0935000e+01 661 | 7.1865000e+01 662 | 6.3285000e+01 663 | 6.4272727e+01 664 | 5.9935000e+01 665 | 6.6000000e+01 666 | 5.9935000e+01 667 | 5.7000000e+01 668 | 5.4000000e+01 669 | 7.2550000e+01 670 | 6.6900000e+01 671 | 5.2935000e+01 672 | 5.5900000e+01 673 | 5.2000000e+01 674 | 4.3000000e+01 675 | 5.0635000e+01 676 | 4.6900000e+01 677 | 6.6765000e+01 678 | 7.0935000e+01 679 | 6.4900000e+01 680 | 5.9935000e+01 681 | 5.4850000e+01 682 | 5.5000000e+01 683 | 6.4000000e+01 684 | 6.6000000e+01 685 | 6.4900000e+01 686 | 5.2935000e+01 687 | 5.5765000e+01 688 | 5.8835000e+01 689 | 5.5400000e+01 690 | 4.9835000e+01 691 | 5.1726316e+01 692 | 5.2800000e+01 693 | 5.2000000e+01 694 | 5.4000000e+01 695 | 5.4000000e+01 696 | 4.8000000e+01 697 | 3.7808163e+01 698 | 4.5850000e+01 699 | 6.1000000e+01 700 | 5.0000000e+01 701 | 4.6900000e+01 702 | 5.4217241e+01 703 | 5.4030769e+01 704 | 3.9054545e+01 705 | 3.0765000e+01 706 | 3.0000000e+01 707 | 3.4000000e+01 708 | 3.7765000e+01 709 | 5.7600000e+01 710 | 2.9835000e+01 711 | 2.8900000e+01 712 | 3.7900000e+01 713 | 4.6663158e+01 714 | 5.2000000e+01 715 | 5.0000000e+01 716 | 2.9700000e+01 717 | 3.0900000e+01 718 | 3.7765000e+01 719 | 2.8900000e+01 720 | 3.0000000e+01 721 | 3.1325000e+01 722 | 3.0900000e+01 723 | 2.8615000e+01 724 | 3.7000000e+01 725 | 4.4100000e+01 726 | 4.4914286e+01 727 | 4.1935000e+01 728 | 2.8553846e+01 729 | 2.3000000e+01 730 | 3.2000000e+01 731 | 3.6000000e+01 732 | 3.3957143e+01 733 | 1.9615000e+01 734 | 1.6000000e+01 735 | 2.2835000e+01 736 | 2.4672727e+01 737 | 2.6100000e+01 738 | 2.4800000e+01 739 | 2.3000000e+01 740 | 2.3000000e+01 741 | 1.9900000e+01 742 | 2.1734211e+01 743 | 2.5000000e+01 744 | 3.0900000e+01 745 | 4.1935000e+01 746 | 4.2865000e+01 747 | 4.9835000e+01 748 | 3.9900000e+01 749 | 3.9765000e+01 750 | 3.5100000e+01 751 | 3.3100000e+01 752 | 4.2100000e+01 753 | 3.9000000e+01 754 | 4.9835000e+01 755 | 5.0000000e+01 756 | 5.0770000e+01 757 | 3.0900000e+01 758 | 3.1065000e+01 759 | 3.2000000e+01 760 | 1.5100000e+01 761 | 2.0700000e+01 762 | 2.8000000e+01 763 | 3.0000000e+01 764 | 3.5100000e+01 765 | 3.4935000e+01 766 | 3.5100000e+01 767 | 3.5202273e+01 768 | 2.8765000e+01 769 | 2.2682353e+01 770 | 2.7850000e+01 771 | 3.3257500e+01 772 | 3.0465000e+01 773 | 2.6100000e+01 774 | 2.7850000e+01 775 | 2.6100000e+01 776 | 2.6865000e+01 777 | 2.8704348e+01 778 | 2.6350000e+01 779 | 2.9550000e+01 780 | 3.4935000e+01 781 | 3.7000000e+01 782 | 3.9000000e+01 783 | 4.1000000e+01 784 | 4.3470000e+01 785 | 3.7618750e+01 786 | 3.6715000e+01 787 | 2.9835000e+01 788 | 2.8156522e+01 789 | 3.2935000e+01 790 | 3.4654545e+01 791 | 3.7000000e+01 792 | 3.4000000e+01 793 | 3.7000000e+01 794 | 3.7900000e+01 795 | 3.9900000e+01 796 | 4.0700000e+01 797 | 4.6900000e+01 798 | 5.1530000e+01 799 | 5.6835000e+01 800 | 6.4615000e+01 801 | 6.6765000e+01 802 | 6.0865000e+01 803 | 4.9700000e+01 804 | 4.5000000e+01 805 | 4.2943750e+01 806 | 5.9000000e+01 807 | 6.2865000e+01 808 | 6.4615000e+01 809 | 6.5835000e+01 810 | 6.6765000e+01 811 | 7.1360000e+01 812 | 6.8000000e+01 813 | 4.5715000e+01 814 | 5.8835000e+01 815 | 5.9000000e+01 816 | 4.2100000e+01 817 | 5.4715000e+01 818 | 4.8170000e+01 819 | 5.0000000e+01 820 | 5.3525000e+01 821 | 6.6000000e+01 822 | 8.0865000e+01 823 | 8.4000000e+01 824 | 8.4000000e+01 825 | 6.9100000e+01 826 | 7.8100000e+01 827 | 8.4900000e+01 828 | 7.9000000e+01 829 | 7.1700000e+01 830 | 4.2865000e+01 831 | 6.1935000e+01 832 | 6.8935000e+01 833 | 6.4000000e+01 834 | 5.4715000e+01 835 | 6.2865000e+01 836 | 7.8865000e+01 837 | 7.8235000e+01 838 | 5.0935000e+01 839 | 4.6000000e+01 840 | 6.1000000e+01 841 | 6.3715000e+01 842 | 6.6600000e+01 843 | 6.6000000e+01 844 | 6.6525000e+01 845 | 6.4765000e+01 846 | 7.4728302e+01 847 | 5.8535000e+01 848 | 5.2800000e+01 849 | 5.2635000e+01 850 | 6.3850000e+01 851 | 8.0865000e+01 852 | 8.2765000e+01 853 | 7.0000000e+01 854 | 7.5000000e+01 855 | 7.1865000e+01 856 | 7.9935000e+01 857 | 7.2000000e+01 858 | 8.2765000e+01 859 | 7.7472727e+01 860 | 5.1100000e+01 861 | 5.7900000e+01 862 | 5.7703125e+01 863 | 5.9000000e+01 864 | 7.6835000e+01 865 | 8.0865000e+01 866 | 6.9865000e+01 867 | 6.8000000e+01 868 | 6.0100000e+01 869 | 6.0100000e+01 870 | 6.7400000e+01 871 | 7.7770000e+01 872 | 7.5030000e+01 873 | 7.1260714e+01 874 | 7.8100000e+01 875 | 7.7000000e+01 876 | 8.1000000e+01 877 | 8.4900000e+01 878 | 8.6000000e+01 879 | 8.4765000e+01 880 | 8.2825000e+01 881 | 8.3835000e+01 882 | 8.2000000e+01 883 | 7.8865000e+01 884 | 8.0918182e+01 885 | 7.7770000e+01 886 | 8.0100000e+01 887 | 7.3765000e+01 888 | 7.5042857e+01 889 | 6.9100000e+01 890 | 7.2000000e+01 891 | 7.0710000e+01 892 | 7.9000000e+01 893 | 7.7770000e+01 894 | 8.4900000e+01 895 | 8.1850000e+01 896 | 7.6835000e+01 897 | 7.8530000e+01 898 | 8.1850000e+01 899 | 6.9865000e+01 900 | 8.2000000e+01 901 | 8.5835000e+01 902 | 8.2000000e+01 903 | 8.3835000e+01 904 | 8.3835000e+01 905 | 8.6770000e+01 906 | 8.0865000e+01 907 | 8.1850000e+01 908 | 8.3835000e+01 909 | 8.7937931e+01 910 | 7.9935000e+01 911 | 7.3765000e+01 912 | 7.3340000e+01 913 | 7.2850000e+01 914 | 7.5900000e+01 915 | 8.3835000e+01 916 | 8.7100000e+01 917 | 8.9865000e+01 918 | 9.1615000e+01 919 | 9.2700000e+01 920 | 9.1000000e+01 921 | 8.4465000e+01 922 | 8.4000000e+01 923 | 8.4900000e+01 924 | 8.1850000e+01 925 | 7.9935000e+01 926 | 8.4900000e+01 927 | 8.7100000e+01 928 | 8.5835000e+01 929 | 8.7100000e+01 930 | 8.8935000e+01 931 | 8.2900000e+01 932 | 8.1850000e+01 933 | 8.5730000e+01 934 | 8.6000000e+01 935 | 9.1900000e+01 936 | 9.1760000e+01 937 | 8.2000000e+01 938 | 8.2615000e+01 939 | 8.4765000e+01 940 | 8.8935000e+01 941 | 8.2000000e+01 942 | 8.0100000e+01 943 | 8.1000000e+01 944 | 8.2765000e+01 945 | 8.5835000e+01 946 | 7.7935000e+01 947 | 8.7357143e+01 948 | 8.5835000e+01 949 | 7.7935000e+01 950 | 7.9935000e+01 951 | 8.4765000e+01 952 | 8.8935000e+01 953 | 9.1900000e+01 954 | 9.0850000e+01 955 | 8.4900000e+01 956 | 8.4900000e+01 957 | 8.8935000e+01 958 | 8.6000000e+01 959 | 8.2900000e+01 960 | 8.2000000e+01 961 | 8.4000000e+01 962 | 8.6000000e+01 963 | 8.8000000e+01 964 | 8.6935000e+01 965 | 8.0100000e+01 966 | 7.3615000e+01 967 | 7.2000000e+01 968 | 7.7000000e+01 969 | 7.6835000e+01 970 | 7.6835000e+01 971 | 8.4765000e+01 972 | 8.9865000e+01 973 | 9.0715000e+01 974 | 9.1000000e+01 975 | 8.9700000e+01 976 | 9.2700000e+01 977 | 8.6000000e+01 978 | 6.8470000e+01 979 | 7.0000000e+01 980 | 7.8100000e+01 981 | 8.9100000e+01 982 | 7.3000000e+01 983 | 6.6765000e+01 984 | 6.8481250e+01 985 | 7.8695000e+01 986 | 7.3615000e+01 987 | 8.0865000e+01 988 | 7.5900000e+01 989 | 7.6835000e+01 990 | 6.7676000e+01 991 | 6.4765000e+01 992 | 7.6700000e+01 993 | 7.8700000e+01 994 | 7.1865000e+01 995 | 8.4765000e+01 996 | 8.6000000e+01 997 | 8.7100000e+01 998 | 8.8935000e+01 999 | 7.3382500e+01 1000 | 6.4900000e+01 1001 | 6.4792857e+01 1002 | 6.2865000e+01 1003 | 6.4000000e+01 1004 | 6.4900000e+01 1005 | 6.4615000e+01 1006 | 6.4765000e+01 1007 | 5.4000000e+01 1008 | 4.8900000e+01 1009 | 5.0935000e+01 1010 | 5.1957143e+01 1011 | 6.6900000e+01 1012 | 7.3000000e+01 1013 | 7.7000000e+01 1014 | 8.2000000e+01 1015 | 7.8100000e+01 1016 | 6.9100000e+01 1017 | 6.8000000e+01 1018 | 5.6700000e+01 1019 | 5.7465000e+01 1020 | 6.1000000e+01 1021 | 6.7835000e+01 1022 | 5.8835000e+01 1023 | 5.6835000e+01 1024 | 6.0100000e+01 1025 | 5.5900000e+01 1026 | 5.4000000e+01 1027 | 6.9865000e+01 1028 | 7.5000000e+01 1029 | 6.4000000e+01 1030 | 7.8865000e+01 1031 | 6.7835000e+01 1032 | 6.1935000e+01 1033 | 4.5850000e+01 1034 | 5.4850000e+01 1035 | 5.1535000e+01 1036 | 4.6900000e+01 1037 | 5.0935000e+01 1038 | 5.7765000e+01 1039 | 4.5000000e+01 1040 | 4.3935000e+01 1041 | 3.9200000e+01 1042 | 4.4940000e+01 1043 | 5.7900000e+01 1044 | 5.7000000e+01 1045 | 5.9935000e+01 1046 | 6.3000000e+01 1047 | 6.6600000e+01 1048 | 6.6765000e+01 1049 | 5.1800000e+01 1050 | 4.6900000e+01 1051 | 5.4150000e+01 1052 | 5.4250000e+01 1053 | 4.2700000e+01 1054 | 4.4865000e+01 1055 | 4.5000000e+01 1056 | 6.2940000e+01 1057 | 6.9100000e+01 1058 | 6.1800000e+01 1059 | 3.7900000e+01 1060 | 5.3581132e+01 1061 | 5.3565000e+01 1062 | 3.3100000e+01 1063 | 4.0835000e+01 1064 | 5.0000000e+01 1065 | 5.3350000e+01 1066 | 4.9477419e+01 1067 | 2.8900000e+01 1068 | 2.9686957e+01 1069 | 3.0170000e+01 1070 | 2.6672727e+01 1071 | 2.6100000e+01 1072 | 2.4100000e+01 1073 | 2.6360000e+01 1074 | 2.5935000e+01 1075 | 3.6000000e+01 1076 | 4.6180000e+01 1077 | 4.1000000e+01 1078 | 2.2558750e+01 1079 | 1.7100000e+01 1080 | 2.1900000e+01 1081 | 2.4100000e+01 1082 | 2.8000000e+01 1083 | 2.6865000e+01 1084 | 2.5000000e+01 1085 | 2.7000000e+01 1086 | 2.8900000e+01 1087 | 3.0200000e+01 1088 | 3.0000000e+01 1089 | 2.8663158e+01 1090 | 2.8000000e+01 1091 | 2.4100000e+01 1092 | 2.5935000e+01 1093 | 3.0765000e+01 1094 | 3.7000000e+01 1095 | 3.9175000e+01 1096 | 5.7600000e+01 1097 | 5.5765000e+01 1098 | 3.9765000e+01 1099 | 3.4000000e+01 1100 | 3.7765000e+01 1101 | 2.7850000e+01 1102 | 3.0069231e+01 1103 | 2.3000000e+01 1104 | 1.9078261e+01 1105 | 2.3935000e+01 1106 | 2.6360000e+01 1107 | 2.7000000e+01 1108 | 2.4303226e+01 1109 | 2.3000000e+01 1110 | 2.5000000e+01 1111 | 3.5865000e+01 1112 | 2.3935000e+01 1113 | 3.2000000e+01 1114 | 4.4240625e+01 1115 | 3.5600000e+01 1116 | 2.5800000e+01 1117 | 2.2694340e+01 1118 | 1.9000000e+01 1119 | 1.8000000e+01 1120 | 3.0465000e+01 1121 | 3.5421429e+01 1122 | 3.3296875e+01 1123 | 2.8765000e+01 1124 | 3.0000000e+01 1125 | 3.3100000e+01 1126 | 3.0000000e+01 1127 | 3.2000000e+01 1128 | 3.7135000e+01 1129 | 4.8180000e+01 1130 | 2.7000000e+01 1131 | 3.4000000e+01 1132 | 3.7075000e+01 1133 | 3.2000000e+01 1134 | 3.6606250e+01 1135 | 2.8355263e+01 1136 | 2.1900000e+01 1137 | 1.9900000e+01 1138 | 3.2000000e+01 1139 | 3.5865000e+01 1140 | 5.0000000e+01 1141 | 4.9835000e+01 1142 | 3.7000000e+01 1143 | 5.4000000e+01 1144 | 6.3850000e+01 1145 | 6.4765000e+01 1146 | 4.1770000e+01 1147 | 3.7000000e+01 1148 | 3.4935000e+01 1149 | 3.1835000e+01 1150 | 3.5940000e+01 1151 | 3.9765000e+01 1152 | 3.5865000e+01 1153 | 3.6850000e+01 1154 | 5.4850000e+01 1155 | 6.2600000e+01 1156 | 4.2100000e+01 1157 | 4.3000000e+01 1158 | 3.7000000e+01 1159 | 5.5000000e+01 1160 | 5.2895000e+01 1161 | 5.0000000e+01 1162 | 3.9900000e+01 1163 | 4.8900000e+01 1164 | 4.5000000e+01 1165 | 5.1959091e+01 1166 | 3.4000000e+01 1167 | 5.7900000e+01 1168 | 4.1935000e+01 1169 | 4.4865000e+01 1170 | 4.5000000e+01 1171 | 4.5000000e+01 1172 | 6.2100000e+01 1173 | 7.1100000e+01 1174 | 4.8900000e+01 1175 | 6.0100000e+01 1176 | 7.2000000e+01 1177 | 4.8000000e+01 1178 | 6.7655319e+01 1179 | 3.9765000e+01 1180 | 3.6000000e+01 1181 | 3.5865000e+01 1182 | 3.8835000e+01 1183 | 3.9005000e+01 1184 | 4.4700000e+01 1185 | 4.2100000e+01 1186 | 3.6000000e+01 1187 | 4.4100000e+01 1188 | 4.6765000e+01 1189 | 5.2300000e+01 1190 | 6.9689655e+01 1191 | 4.4920000e+01 1192 | 6.0400000e+01 1193 | 6.1935000e+01 1194 | 5.0935000e+01 1195 | 5.6835000e+01 1196 | 8.2000000e+01 1197 | 7.5900000e+01 1198 | 5.5190000e+01 1199 | 5.6835000e+01 1200 | 6.8770000e+01 1201 | 6.9700000e+01 1202 | 5.8835000e+01 1203 | 5.9000000e+01 1204 | 6.8000000e+01 1205 | 6.0865000e+01 1206 | 7.1944231e+01 1207 | 5.2000000e+01 1208 | 4.8038298e+01 1209 | 7.3000000e+01 1210 | 6.5200000e+01 1211 | 8.1000000e+01 1212 | 7.9700000e+01 1213 | 8.2135000e+01 1214 | 6.4000000e+01 1215 | 5.1700000e+01 1216 | 6.2100000e+01 1217 | 6.1000000e+01 1218 | 7.0935000e+01 1219 | 5.2635000e+01 1220 | 4.9835000e+01 1221 | 6.3000000e+01 1222 | 6.3850000e+01 1223 | 6.2785000e+01 1224 | 6.7835000e+01 1225 | 6.9865000e+01 1226 | 7.5765000e+01 1227 | 8.0100000e+01 1228 | 8.0865000e+01 1229 | 7.7935000e+01 1230 | 7.4835000e+01 1231 | 6.6900000e+01 1232 | 5.4000000e+01 1233 | 6.0550000e+01 1234 | 6.5600000e+01 1235 | 6.4765000e+01 1236 | 6.9100000e+01 1237 | 7.8700000e+01 1238 | 8.2000000e+01 1239 | 7.8700000e+01 1240 | 7.3900000e+01 1241 | 8.1000000e+01 1242 | 8.1000000e+01 1243 | 6.8000000e+01 1244 | 7.8865000e+01 1245 | 8.6935000e+01 1246 | 8.9100000e+01 1247 | 9.0000000e+01 1248 | 8.4000000e+01 1249 | 7.3000000e+01 1250 | 7.5200000e+01 1251 | 8.4900000e+01 1252 | 8.4900000e+01 1253 | 8.4000000e+01 1254 | 7.7935000e+01 1255 | 9.0000000e+01 1256 | 8.9100000e+01 1257 | 7.8865000e+01 1258 | 7.9800000e+01 1259 | 7.7635000e+01 1260 | 7.3900000e+01 1261 | 6.7835000e+01 1262 | 7.7000000e+01 1263 | 7.5900000e+01 1264 | 7.8695000e+01 1265 | 7.9635000e+01 1266 | 7.9000000e+01 1267 | 7.8530000e+01 1268 | 8.4900000e+01 1269 | 8.2000000e+01 1270 | 7.8100000e+01 1271 | 6.9535000e+01 1272 | 7.1600000e+01 1273 | 7.5765000e+01 1274 | 8.0100000e+01 1275 | 8.4000000e+01 1276 | 7.7000000e+01 1277 | 7.9635000e+01 1278 | 8.5835000e+01 1279 | 8.2765000e+01 1280 | 8.8000000e+01 1281 | 8.3835000e+01 1282 | 8.5835000e+01 1283 | 8.7970000e+01 1284 | 8.7100000e+01 1285 | 7.5465000e+01 1286 | 8.6935000e+01 1287 | 8.8000000e+01 1288 | 8.9700000e+01 1289 | 8.8000000e+01 1290 | 8.0700000e+01 1291 | 8.1850000e+01 1292 | 8.2765000e+01 1293 | 8.4900000e+01 1294 | 8.4765000e+01 1295 | 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1438 | 3.4000000e+01 1439 | 4.2100000e+01 1440 | 3.2935000e+01 1441 | 3.7000000e+01 1442 | 4.3000000e+01 1443 | 4.6000000e+01 1444 | 4.6900000e+01 1445 | 5.7900000e+01 1446 | 3.9765000e+01 1447 | 3.2000000e+01 1448 | 3.5700000e+01 1449 | 4.5000000e+01 1450 | 4.4700000e+01 1451 | 5.9558621e+01 1452 | 4.8690000e+01 1453 | 3.8835000e+01 1454 | 3.7000000e+01 1455 | 4.5715000e+01 1456 | 4.1000000e+01 1457 | 4.2277419e+01 1458 | 3.5207143e+01 1459 | 4.1165000e+01 1460 | 5.1695000e+01 1461 | -------------------------------------------------------------------------------- /max_demand_b.txt: -------------------------------------------------------------------------------- 1 | 1.8896960e+00 2 | 2.1090810e+00 3 | 2.1251970e+00 4 | 2.0049780e+00 5 | 1.8688410e+00 6 | 1.7630790e+00 7 | 1.8559710e+00 8 | 1.8379460e+00 9 | 1.8709260e+00 10 | 1.8866670e+00 11 | 1.8655480e+00 12 | 1.6970400e+00 13 | 1.7633990e+00 14 | 1.9634370e+00 15 | 2.0572250e+00 16 | 1.9814530e+00 17 | 1.9705740e+00 18 | 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