An ANN Model for Predicting the Compressive Strength of Concrete
Abstract
:1. Introduction
2. The Concrete Mix Proportioning
3. The Artificial Neural Network
4. The Results
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
S.N. | S.N. | ||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 * | 0.119 | 0.442 | 0.663 | 0.544 | 0.043 | 0.579 | 0.758 | 0.506 | 242 | 0.473 | 0.651 | 0.625 | 0.481 | 0.000 | 0.315 | 0.320 | 0.589 |
2 | 0.285 | 0.577 | 0.624 | 0.481 | 0.053 | 0.545 | 0.607 | 0.550 | 243 | 0.473 | 0.651 | 0.649 | 0.465 | 0.277 | 0.000 | 0.276 | 0.637 |
3 | 0.458 | 0.710 | 0.584 | 0.418 | 0.063 | 0.512 | 0.431 | 0.506 | 244 | 0.473 | 0.453 | 0.665 | 0.427 | 0.555 | 0.000 | 0.250 | 0.671 |
4 * | 0.177 | 0.413 | 0.663 | 0.544 | 0.041 | 0.579 | 0.674 | 0.439 | 245 | 0.355 | 0.602 | 0.726 | 0.469 | 0.000 | 0.295 | 0.180 | 0.394 |
5 | 0.343 | 0.545 | 0.624 | 0.481 | 0.050 | 0.545 | 0.519 | 0.517 | 246 | 0.528 | 0.508 | 0.725 | 0.468 | 0.000 | 0.258 | 0.077 | 0.305 |
6 | 0.523 | 0.674 | 0.584 | 0.418 | 0.060 | 0.512 | 0.346 | 0.528 | 247 | 0.662 | 0.436 | 0.725 | 0.468 | 0.000 | 0.229 | 0.000 | 0.252 |
7 | 0.256 | 0.253 | 0.683 | 0.576 | 0.029 | 0.594 | 0.501 | 0.249 | 248 | 0.757 | 0.378 | 0.725 | 0.468 | 0.000 | 0.206 | 0.000 | 0.156 |
8 | 0.350 | 0.312 | 0.663 | 0.544 | 0.033 | 0.579 | 0.431 | 0.305 | 249 | 0.415 | 0.427 | 0.725 | 0.468 | 0.530 | 0.000 | 0.000 | 0.521 |
9 * | 0.538 | 0.432 | 0.624 | 0.481 | 0.042 | 0.545 | 0.276 | 0.327 | 250 | 0.568 | 0.355 | 0.725 | 0.468 | 0.463 | 0.000 | 0.000 | 0.451 |
10 | 0.726 | 0.550 | 0.584 | 0.418 | 0.051 | 0.512 | 0.107 | 0.361 | 251 | 0.687 | 0.299 | 0.725 | 0.468 | 0.410 | 0.000 | 0.000 | 0.312 |
11 | 0.158 | 0.423 | 0.679 | 0.543 | 0.042 | 0.512 | 0.568 | 0.583 | 252 * | 0.781 | 0.254 | 0.725 | 0.468 | 0.369 | 0.000 | 0.000 | 0.217 |
12 | 0.334 | 0.551 | 0.639 | 0.481 | 0.051 | 0.483 | 0.394 | 0.677 | 253 | 0.365 | 0.517 | 0.726 | 0.469 | 0.276 | 0.135 | 0.206 | 0.461 |
13 | 0.476 | 0.679 | 0.600 | 0.419 | 0.060 | 0.454 | 0.392 | 0.681 | 254 * | 0.540 | 0.433 | 0.725 | 0.468 | 0.241 | 0.118 | 0.088 | 0.360 |
14 | 0.158 | 0.423 | 0.679 | 0.543 | 0.042 | 0.512 | 0.568 | 0.580 | 255 | 0.676 | 0.368 | 0.725 | 0.468 | 0.214 | 0.104 | 0.000 | 0.279 |
15 | 0.334 | 0.551 | 0.639 | 0.481 | 0.051 | 0.483 | 0.394 | 0.619 | 256 | 0.770 | 0.317 | 0.725 | 0.468 | 0.192 | 0.094 | 0.000 | 0.204 |
16 * | 0.476 | 0.679 | 0.600 | 0.419 | 0.060 | 0.454 | 0.392 | 0.640 | 257 | 0.869 | 0.979 | 0.446 | 0.377 | 0.000 | 0.267 | 0.000 | 0.606 |
17 | 0.158 | 0.423 | 0.679 | 0.543 | 0.042 | 0.512 | 0.568 | 0.317 | 258 * | 0.826 | 0.790 | 0.446 | 0.377 | 0.000 | 0.518 | 0.000 | 0.651 |
18 | 0.334 | 0.551 | 0.639 | 0.481 | 0.051 | 0.483 | 0.394 | 0.448 | 259 | 0.809 | 0.717 | 0.446 | 0.377 | 0.000 | 0.669 | 0.000 | 0.584 |
19 | 0.476 | 0.679 | 0.600 | 0.419 | 0.060 | 0.454 | 0.392 | 0.501 | 260 | 0.874 | 0.733 | 0.550 | 0.377 | 0.000 | 0.209 | 0.000 | 0.472 |
20 | 0.285 | 0.623 | 0.808 | 0.229 | 0.056 | 0.439 | 0.504 | 0.638 | 261 | 0.837 | 0.588 | 0.550 | 0.377 | 0.000 | 0.406 | 0.000 | 0.495 |
21 | 0.213 | 0.554 | 0.834 | 0.254 | 0.051 | 0.455 | 0.498 | 0.615 | 262 | 0.822 | 0.532 | 0.550 | 0.377 | 0.000 | 0.482 | 0.000 | 0.405 |
22 | 0.047 | 0.484 | 0.861 | 0.278 | 0.045 | 0.467 | 1.000 | 0.573 | 263 | 0.879 | 0.576 | 0.616 | 0.377 | 0.000 | 0.174 | 0.000 | 0.417 |
23 | 0.329 | 0.349 | 0.865 | 0.284 | 0.037 | 0.470 | 0.283 | 0.441 | 264 * | 0.845 | 0.458 | 0.616 | 0.377 | 0.000 | 0.334 | 0.000 | 0.394 |
24 | 0.264 | 0.295 | 0.889 | 0.305 | 0.032 | 0.482 | 0.267 | 0.395 | 265 | 0.832 | 0.413 | 0.616 | 0.377 | 0.000 | 0.396 | 0.000 | 0.327 |
25 | 0.199 | 0.242 | 0.912 | 0.327 | 0.029 | 0.494 | 0.235 | 0.299 | 266 * | 0.882 | 0.467 | 0.665 | 0.377 | 0.000 | 0.145 | 0.000 | 0.294 |
26 | 0.422 | 0.225 | 0.880 | 0.296 | 0.419 | 0.030 | 0.195 | 0.185 | 267 | 0.852 | 0.368 | 0.665 | 0.377 | 0.000 | 0.289 | 0.000 | 0.283 |
27 | 0.350 | 0.183 | 0.900 | 0.316 | 0.429 | 0.027 | 0.189 | 0.172 | 268 | 0.840 | 0.330 | 0.665 | 0.377 | 0.000 | 0.337 | 0.000 | 0.216 |
28 | 0.278 | 0.139 | 0.922 | 0.335 | 0.440 | 0.024 | 0.171 | 0.174 | 269 | 0.890 | 0.825 | 0.446 | 0.377 | 0.473 | 0.000 | 0.000 | 0.684 |
29 | 0.523 | 0.556 | 0.594 | 0.505 | 0.141 | 0.318 | 0.287 | 0.656 | 270 | 0.884 | 0.756 | 0.446 | 0.377 | 0.565 | 0.000 | 0.000 | 0.673 |
30 * | 0.523 | 0.488 | 0.631 | 0.505 | 0.125 | 0.285 | 0.312 | 0.544 | 271 | 0.880 | 0.696 | 0.446 | 0.377 | 0.645 | 0.000 | 0.000 | 0.562 |
31 * | 0.560 | 0.446 | 0.675 | 0.457 | 0.117 | 0.264 | 0.259 | 0.489 | 272 | 0.892 | 0.612 | 0.550 | 0.377 | 0.369 | 0.000 | 0.000 | 0.584 |
32 | 0.410 | 0.288 | 0.689 | 0.430 | 0.360 | 0.273 | 0.215 | 0.609 | 273 | 0.888 | 0.558 | 0.550 | 0.377 | 0.441 | 0.000 | 0.000 | 0.573 |
33 | 0.410 | 0.416 | 0.689 | 0.465 | 0.360 | 0.068 | 0.215 | 0.590 | 274 | 0.884 | 0.512 | 0.550 | 0.377 | 0.503 | 0.000 | 0.000 | 0.517 |
34 | 0.410 | 0.159 | 0.689 | 0.394 | 0.360 | 0.477 | 0.215 | 0.575 | 275 * | 0.895 | 0.476 | 0.615 | 0.377 | 0.302 | 0.000 | 0.000 | 0.472 |
35 * | 0.410 | 0.459 | 0.689 | 0.438 | 0.120 | 0.273 | 0.215 | 0.605 | 276 | 0.891 | 0.432 | 0.615 | 0.377 | 0.361 | 0.000 | 0.000 | 0.506 |
36 | 0.410 | 0.116 | 0.689 | 0.421 | 0.600 | 0.273 | 0.215 | 0.471 | 277 | 0.888 | 0.394 | 0.615 | 0.377 | 0.412 | 0.000 | 0.000 | 0.450 |
37 | 0.329 | 0.288 | 0.689 | 0.467 | 0.360 | 0.273 | 0.215 | 0.739 | 278 | 0.897 | 0.382 | 0.661 | 0.377 | 0.256 | 0.000 | 0.000 | 0.361 |
38 | 0.491 | 0.288 | 0.689 | 0.392 | 0.360 | 0.273 | 0.215 | 0.490 | 279 | 0.893 | 0.345 | 0.661 | 0.377 | 0.306 | 0.000 | 0.000 | 0.394 |
39 | 0.410 | 0.288 | 0.689 | 0.430 | 0.360 | 0.273 | 0.182 | 0.685 | 280 | 0.890 | 0.313 | 0.661 | 0.377 | 0.349 | 0.000 | 0.000 | 0.294 |
40 | 0.410 | 0.288 | 0.689 | 0.430 | 0.360 | 0.273 | 0.248 | 0.502 | 281 | 0.473 | 0.484 | 0.652 | 0.661 | 0.000 | 0.112 | 0.000 | 0.316 |
41 | 0.372 | 0.240 | 0.721 | 0.456 | 0.320 | 0.242 | 0.177 | 0.542 | 282 | 0.473 | 0.413 | 0.647 | 0.652 | 0.000 | 0.224 | 0.000 | 0.301 |
42 | 0.372 | 0.354 | 0.721 | 0.488 | 0.320 | 0.061 | 0.177 | 0.497 | 283 | 0.473 | 0.347 | 0.643 | 0.643 | 0.000 | 0.333 | 0.000 | 0.287 |
43 | 0.372 | 0.126 | 0.721 | 0.424 | 0.320 | 0.424 | 0.177 | 0.483 | 284 | 0.473 | 0.276 | 0.638 | 0.634 | 0.000 | 0.442 | 0.000 | 0.219 |
44 | 0.372 | 0.392 | 0.721 | 0.463 | 0.107 | 0.242 | 0.177 | 0.533 | 285 | 0.675 | 0.789 | 0.381 | 0.729 | 0.325 | 0.000 | 0.114 | 0.515 |
45 | 0.372 | 0.088 | 0.721 | 0.449 | 0.533 | 0.242 | 0.177 | 0.483 | 286 * | 0.675 | 0.556 | 0.374 | 0.729 | 0.651 | 0.000 | 0.114 | 0.532 |
46 | 0.285 | 0.240 | 0.721 | 0.496 | 0.320 | 0.242 | 0.177 | 0.639 | 287 | 0.675 | 0.324 | 0.367 | 0.729 | 0.976 | 0.000 | 0.114 | 0.497 |
47 | 0.458 | 0.240 | 0.721 | 0.416 | 0.320 | 0.242 | 0.177 | 0.437 | 288 | 0.690 | 0.581 | 0.472 | 0.729 | 0.253 | 0.000 | 0.044 | 0.403 |
48 | 0.372 | 0.240 | 0.721 | 0.456 | 0.320 | 0.242 | 0.147 | 0.549 | 289 * | 0.690 | 0.402 | 0.466 | 0.729 | 0.507 | 0.000 | 0.044 | 0.418 |
49 * | 0.372 | 0.240 | 0.721 | 0.456 | 0.320 | 0.242 | 0.206 | 0.514 | 290 * | 0.690 | 0.221 | 0.460 | 0.729 | 0.760 | 0.000 | 0.044 | 0.390 |
50 | 0.432 | 0.216 | 0.721 | 0.458 | 0.300 | 0.227 | 0.152 | 0.354 | 291 | 0.697 | 0.450 | 0.530 | 0.729 | 0.208 | 0.000 | 0.015 | 0.315 |
51 | 0.432 | 0.323 | 0.721 | 0.489 | 0.300 | 0.057 | 0.152 | 0.476 | 292 * | 0.697 | 0.301 | 0.525 | 0.729 | 0.413 | 0.000 | 0.015 | 0.307 |
52 | 0.432 | 0.109 | 0.721 | 0.429 | 0.300 | 0.398 | 0.152 | 0.269 | 293 | 0.697 | 0.154 | 0.520 | 0.729 | 0.621 | 0.000 | 0.015 | 0.284 |
53 | 0.432 | 0.359 | 0.721 | 0.466 | 0.100 | 0.227 | 0.152 | 0.358 | 294 * | 0.314 | 0.594 | 0.661 | 0.475 | 0.133 | 0.352 | 0.221 | 0.785 |
54 | 0.432 | 0.073 | 0.721 | 0.452 | 0.500 | 0.227 | 0.152 | 0.232 | 295 | 0.314 | 0.486 | 0.723 | 0.475 | 0.112 | 0.300 | 0.184 | 0.662 |
55 | 0.350 | 0.216 | 0.721 | 0.496 | 0.300 | 0.227 | 0.152 | 0.429 | 296 | 0.314 | 0.406 | 0.768 | 0.475 | 0.099 | 0.261 | 0.147 | 0.606 |
56 | 0.513 | 0.216 | 0.721 | 0.420 | 0.300 | 0.227 | 0.152 | 0.289 | 297 | 0.314 | 0.345 | 0.804 | 0.475 | 0.088 | 0.230 | 0.147 | 0.573 |
57 | 0.432 | 0.216 | 0.721 | 0.458 | 0.300 | 0.227 | 0.124 | 0.459 | 298 | 0.314 | 0.594 | 0.556 | 0.647 | 0.133 | 0.352 | 0.221 | 0.796 |
58 | 0.432 | 0.216 | 0.721 | 0.458 | 0.300 | 0.227 | 0.180 | 0.402 | 299 | 0.314 | 0.486 | 0.617 | 0.647 | 0.112 | 0.300 | 0.184 | 0.707 |
59 * | 0.300 | 0.526 | 0.625 | 0.577 | 0.213 | 0.212 | 0.059 | 0.549 | 300 | 0.314 | 0.406 | 0.662 | 0.647 | 0.099 | 0.261 | 0.147 | 0.640 |
60 | 0.477 | 0.270 | 0.745 | 0.541 | 0.025 | 0.255 | 0.103 | 0.263 | 301 | 0.314 | 0.345 | 0.698 | 0.647 | 0.088 | 0.230 | 0.147 | 0.629 |
61 * | 0.266 | 0.207 | 0.716 | 0.561 | 0.049 | 0.498 | 0.173 | 0.263 | 302 | 0.314 | 0.594 | 0.450 | 0.819 | 0.133 | 0.352 | 0.221 | 0.818 |
62 | 0.365 | 0.430 | 0.375 | 0.947 | 0.000 | 0.388 | 0.110 | 0.370 | 303 * | 0.314 | 0.486 | 0.511 | 0.819 | 0.112 | 0.300 | 0.184 | 0.707 |
63 | 0.473 | 0.430 | 0.496 | 0.706 | 0.000 | 0.388 | 0.081 | 0.249 | 304 | 0.314 | 0.406 | 0.557 | 0.819 | 0.099 | 0.261 | 0.147 | 0.651 |
64 * | 0.639 | 0.430 | 0.541 | 0.561 | 0.000 | 0.388 | 0.074 | 0.249 | 305 * | 0.314 | 0.345 | 0.591 | 0.819 | 0.088 | 0.230 | 0.147 | 0.584 |
65 | 0.466 | 0.285 | 0.730 | 0.562 | 0.000 | 0.290 | 0.147 | 0.272 | 306 | 0.314 | 0.385 | 0.533 | 0.647 | 0.221 | 0.585 | 0.221 | 0.796 |
66 | 0.264 | 0.335 | 0.580 | 0.600 | 0.525 | 0.303 | 0.497 | 0.630 | 307 | 0.314 | 0.307 | 0.597 | 0.647 | 0.189 | 0.500 | 0.184 | 0.707 |
67 | 0.264 | 0.526 | 0.409 | 0.929 | 0.349 | 0.200 | 0.497 | 0.735 | 308 | 0.314 | 0.250 | 0.645 | 0.647 | 0.165 | 0.436 | 0.147 | 0.673 |
68 | 0.538 | 0.417 | 0.625 | 0.438 | 0.131 | 0.445 | 0.252 | 0.427 | 309 | 0.314 | 0.206 | 0.683 | 0.647 | 0.147 | 0.385 | 0.147 | 0.517 |
69 | 0.372 | 0.354 | 0.705 | 0.385 | 0.533 | 0.000 | 0.239 | 0.545 | 310 | 0.350 | 0.341 | 0.648 | 0.542 | 0.552 | 0.000 | 0.220 | 0.689 |
70 | 0.386 | 0.469 | 0.568 | 0.475 | 0.499 | 0.288 | 0.397 | 0.715 | 311 | 0.350 | 0.362 | 0.633 | 0.542 | 0.576 | 0.000 | 0.230 | 0.783 |
71 | 0.567 | 0.579 | 0.649 | 0.447 | 0.347 | 0.097 | 0.313 | 0.620 | 312 | 0.814 | 0.644 | 0.643 | 0.374 | 0.000 | 0.139 | 0.000 | 0.321 |
72 | 0.377 | 0.240 | 0.633 | 0.448 | 0.293 | 0.485 | 0.147 | 0.327 | 313 | 0.814 | 0.557 | 0.628 | 0.374 | 0.000 | 0.278 | 0.000 | 0.289 |
73 | 0.495 | 0.217 | 0.656 | 0.591 | 0.299 | 0.227 | 0.138 | 0.338 | 314 | 0.814 | 0.470 | 0.613 | 0.374 | 0.000 | 0.416 | 0.000 | 0.255 |
74 | 0.422 | 0.202 | 0.624 | 0.677 | 0.192 | 0.327 | 0.132 | 0.316 | 315 | 0.814 | 0.470 | 0.625 | 0.374 | 0.122 | 0.278 | 0.000 | 0.267 |
75 * | 0.374 | 0.341 | 0.608 | 0.489 | 0.243 | 0.491 | 0.138 | 0.320 | 316 | 0.814 | 0.470 | 0.631 | 0.374 | 0.183 | 0.208 | 0.000 | 0.278 |
76 * | 0.495 | 0.579 | 0.649 | 0.447 | 0.347 | 0.097 | 0.313 | 0.594 | 317 | 0.814 | 0.470 | 0.637 | 0.374 | 0.244 | 0.139 | 0.000 | 0.305 |
77 | 0.538 | 0.417 | 0.625 | 0.438 | 0.131 | 0.445 | 0.248 | 0.427 | 318 * | 0.339 | 0.269 | 0.709 | 0.594 | 0.000 | 0.652 | 0.055 | 0.164 |
78 | 0.567 | 0.417 | 0.623 | 0.435 | 0.104 | 0.476 | 0.293 | 0.396 | 319 | 0.325 | 0.269 | 0.705 | 0.594 | 0.280 | 0.318 | 0.048 | 0.349 |
79 | 0.567 | 0.411 | 0.671 | 0.432 | 0.107 | 0.364 | 0.267 | 0.340 | 320 | 0.069 | 0.630 | 0.511 | 0.872 | 0.000 | 0.136 | 0.515 | 0.893 |
80 | 0.495 | 0.335 | 0.658 | 0.522 | 0.320 | 0.242 | 0.184 | 0.465 | 321 * | 0.069 | 0.545 | 0.511 | 0.872 | 0.000 | 0.273 | 0.515 | 0.877 |
81 | 0.495 | 0.240 | 0.770 | 0.387 | 0.267 | 0.303 | 0.162 | 0.349 | 322 | 0.069 | 0.459 | 0.511 | 0.872 | 0.000 | 0.409 | 0.515 | 0.853 |
82 | 0.372 | 0.430 | 0.705 | 0.397 | 0.613 | 0.000 | 0.234 | 0.647 | 323 | 0.069 | 0.545 | 0.511 | 0.872 | 0.240 | 0.000 | 0.515 | 1.000 |
83 | 0.372 | 0.430 | 0.705 | 0.397 | 0.491 | 0.139 | 0.234 | 0.578 | 324 | 0.069 | 0.373 | 0.511 | 0.872 | 0.480 | 0.000 | 0.515 | 0.914 |
84 | 0.372 | 0.430 | 0.705 | 0.397 | 0.368 | 0.279 | 0.234 | 0.554 | 325 | 0.069 | 0.202 | 0.511 | 0.872 | 0.720 | 0.000 | 0.515 | 0.904 |
85 | 0.372 | 0.430 | 0.705 | 0.397 | 0.307 | 0.348 | 0.234 | 0.544 | 326 | 0.430 | 0.240 | 0.737 | 0.389 | 0.179 | 0.476 | 0.280 | 0.244 |
86 | 0.372 | 0.430 | 0.705 | 0.397 | 0.245 | 0.418 | 0.234 | 0.478 | 327 | 0.408 | 0.335 | 0.724 | 0.373 | 0.176 | 0.467 | 0.313 | 0.320 |
87 | 0.372 | 0.430 | 0.705 | 0.397 | 0.123 | 0.558 | 0.234 | 0.552 | 328 | 0.401 | 0.430 | 0.711 | 0.357 | 0.168 | 0.448 | 0.302 | 0.396 |
88 * | 0.372 | 0.430 | 0.705 | 0.397 | 0.000 | 0.697 | 0.234 | 0.422 | 329 | 0.386 | 0.526 | 0.698 | 0.342 | 0.163 | 0.430 | 0.324 | 0.472 |
89 | 0.220 | 0.560 | 0.686 | 0.525 | 0.107 | 0.285 | 0.314 | 0.583 | 330 | 0.430 | 0.697 | 0.541 | 0.609 | 0.000 | 0.333 | 0.273 | 0.716 |
90 | 0.220 | 0.560 | 0.686 | 0.525 | 0.149 | 0.248 | 0.317 | 0.549 | 331 | 0.430 | 0.488 | 0.530 | 0.586 | 0.000 | 0.667 | 0.273 | 0.616 |
91 | 0.220 | 0.560 | 0.686 | 0.525 | 0.187 | 0.212 | 0.318 | 0.526 | 332 | 0.430 | 0.278 | 0.519 | 0.563 | 0.000 | 1.000 | 0.245 | 0.467 |
92 | 0.531 | 0.534 | 0.638 | 0.431 | 0.407 | 0.116 | 0.280 | 0.727 | 333 | 0.430 | 0.697 | 0.550 | 0.627 | 0.293 | 0.000 | 0.384 | 0.775 |
93 | 0.567 | 0.421 | 0.638 | 0.431 | 0.486 | 0.138 | 0.346 | 0.625 | 334 | 0.430 | 0.488 | 0.548 | 0.622 | 0.587 | 0.000 | 0.368 | 0.830 |
94 | 0.567 | 0.421 | 0.638 | 0.431 | 0.486 | 0.138 | 0.308 | 0.513 | 335 | 0.430 | 0.278 | 0.546 | 0.618 | 0.880 | 0.000 | 0.327 | 0.808 |
95 | 0.567 | 0.335 | 0.653 | 0.431 | 0.527 | 0.150 | 0.293 | 0.603 | 336 | 0.430 | 0.697 | 0.546 | 0.618 | 0.147 | 0.167 | 0.294 | 0.796 |
96 | 0.552 | 0.345 | 0.653 | 0.431 | 0.530 | 0.151 | 0.296 | 0.623 | 337 * | 0.430 | 0.488 | 0.539 | 0.604 | 0.293 | 0.333 | 0.276 | 0.632 |
97 | 0.538 | 0.345 | 0.653 | 0.431 | 0.541 | 0.154 | 0.300 | 0.586 | 338 | 0.430 | 0.278 | 0.532 | 0.591 | 0.440 | 0.500 | 0.163 | 0.711 |
98 | 0.567 | 0.278 | 0.653 | 0.431 | 0.581 | 0.165 | 0.290 | 0.501 | 339 * | 0.588 | 0.545 | 0.620 | 0.531 | 0.000 | 0.273 | 0.118 | 0.518 |
99 | 0.531 | 0.250 | 0.653 | 0.431 | 0.637 | 0.181 | 0.296 | 0.588 | 340 | 0.588 | 0.373 | 0.610 | 0.514 | 0.000 | 0.545 | 0.109 | 0.436 |
100 | 0.567 | 0.250 | 0.667 | 0.431 | 0.569 | 0.162 | 0.278 | 0.491 | 341 | 0.588 | 0.202 | 0.600 | 0.497 | 0.000 | 0.818 | 0.110 | 0.275 |
101 | 0.531 | 0.240 | 0.667 | 0.431 | 0.606 | 0.172 | 0.285 | 0.560 | 342 | 0.588 | 0.545 | 0.628 | 0.544 | 0.240 | 0.000 | 0.136 | 0.595 |
102 * | 0.531 | 0.240 | 0.668 | 0.450 | 0.569 | 0.162 | 0.275 | 0.468 | 343 | 0.588 | 0.373 | 0.626 | 0.541 | 0.480 | 0.000 | 0.127 | 0.584 |
103 | 0.531 | 0.240 | 0.662 | 0.470 | 0.552 | 0.157 | 0.270 | 0.470 | 344 | 0.588 | 0.202 | 0.624 | 0.537 | 0.720 | 0.000 | 0.103 | 0.564 |
104 | 0.567 | 0.240 | 0.662 | 0.470 | 0.524 | 0.149 | 0.262 | 0.489 | 345 | 0.588 | 0.545 | 0.624 | 0.537 | 0.120 | 0.136 | 0.118 | 0.633 |
105 | 0.567 | 0.307 | 0.656 | 0.490 | 0.149 | 0.395 | 0.248 | 0.256 | 346 | 0.588 | 0.373 | 0.618 | 0.527 | 0.240 | 0.273 | 0.118 | 0.535 |
106 | 0.567 | 0.297 | 0.644 | 0.529 | 0.140 | 0.372 | 0.239 | 0.228 | 347 | 0.588 | 0.202 | 0.612 | 0.517 | 0.360 | 0.409 | 0.103 | 0.449 |
107 | 0.588 | 0.686 | 0.668 | 0.390 | 0.000 | 0.145 | 0.178 | 0.368 | 348 | 0.803 | 0.745 | 0.697 | 0.195 | 0.000 | 0.258 | 0.395 | 0.329 |
108 | 0.552 | 0.575 | 0.668 | 0.390 | 0.000 | 0.285 | 0.173 | 0.321 | 349 | 0.809 | 0.697 | 0.697 | 0.195 | 0.000 | 0.333 | 0.405 | 0.307 |
109 | 0.516 | 0.470 | 0.668 | 0.390 | 0.000 | 0.415 | 0.169 | 0.290 | 350 | 0.843 | 0.650 | 0.697 | 0.195 | 0.000 | 0.409 | 0.365 | 0.288 |
110 | 0.480 | 0.370 | 0.668 | 0.390 | 0.000 | 0.542 | 0.165 | 0.264 | 351 * | 0.851 | 0.592 | 0.697 | 0.195 | 0.000 | 0.500 | 0.365 | 0.279 |
111 | 0.617 | 0.705 | 0.668 | 0.390 | 0.131 | 0.000 | 0.181 | 0.381 | 352 | 0.903 | 0.535 | 0.697 | 0.195 | 0.000 | 0.591 | 0.365 | 0.267 |
112 * | 0.610 | 0.606 | 0.668 | 0.390 | 0.261 | 0.000 | 0.180 | 0.368 | 353 | 0.718 | 0.240 | 1.000 | 0.154 | 0.000 | 0.091 | 0.000 | 0.174 |
113 * | 0.603 | 0.509 | 0.668 | 0.390 | 0.389 | 0.000 | 0.180 | 0.346 | 354 * | 0.740 | 0.240 | 0.979 | 0.141 | 0.000 | 0.152 | 0.000 | 0.187 |
114 | 0.596 | 0.413 | 0.668 | 0.390 | 0.517 | 0.000 | 0.179 | 0.332 | 355 * | 0.755 | 0.240 | 0.963 | 0.129 | 0.000 | 0.197 | 0.000 | 0.192 |
115 | 0.610 | 0.268 | 0.594 | 0.765 | 0.082 | 0.186 | 0.110 | 0.187 | 356 | 0.776 | 0.240 | 0.946 | 0.118 | 0.000 | 0.258 | 0.000 | 0.190 |
116 | 0.574 | 0.287 | 0.594 | 0.765 | 0.086 | 0.195 | 0.136 | 0.255 | 357 | 0.812 | 0.240 | 0.929 | 0.105 | 0.000 | 0.303 | 0.000 | 0.176 |
117 | 0.433 | 0.363 | 0.594 | 0.765 | 0.101 | 0.229 | 0.264 | 0.483 | 358 | 0.834 | 0.240 | 0.914 | 0.095 | 0.000 | 0.348 | 0.000 | 0.160 |
118 * | 0.495 | 0.777 | 0.591 | 0.492 | 0.321 | 0.000 | 0.244 | 0.622 | 359 | 0.769 | 0.316 | 0.967 | 0.132 | 0.000 | 0.106 | 0.000 | 0.239 |
119 | 0.495 | 0.536 | 0.591 | 0.492 | 0.632 | 0.000 | 0.240 | 0.662 | 360 | 0.783 | 0.316 | 0.943 | 0.115 | 0.000 | 0.182 | 0.000 | 0.263 |
120 | 0.386 | 0.259 | 0.757 | 0.449 | 0.373 | 0.152 | 0.162 | 0.369 | 361 | 0.805 | 0.316 | 0.922 | 0.101 | 0.000 | 0.242 | 0.000 | 0.267 |
121 | 0.415 | 0.297 | 0.750 | 0.449 | 0.320 | 0.152 | 0.162 | 0.385 | 362 | 0.827 | 0.316 | 0.907 | 0.091 | 0.000 | 0.303 | 0.000 | 0.269 |
122 | 0.422 | 0.335 | 0.749 | 0.449 | 0.267 | 0.152 | 0.162 | 0.440 | 363 * | 0.863 | 0.316 | 0.884 | 0.075 | 0.000 | 0.364 | 0.000 | 0.255 |
123 | 0.422 | 0.392 | 0.751 | 0.449 | 0.187 | 0.152 | 0.162 | 0.468 | 364 | 0.892 | 0.316 | 0.865 | 0.061 | 0.000 | 0.424 | 0.000 | 0.237 |
124 | 0.372 | 0.202 | 0.732 | 0.449 | 0.373 | 0.303 | 0.170 | 0.422 | 365 * | 0.819 | 0.392 | 0.933 | 0.109 | 0.000 | 0.121 | 0.000 | 0.305 |
125 | 0.422 | 0.240 | 0.724 | 0.449 | 0.373 | 0.242 | 0.170 | 0.384 | 366 | 0.834 | 0.392 | 0.906 | 0.090 | 0.000 | 0.212 | 0.000 | 0.334 |
126 | 0.386 | 0.278 | 0.735 | 0.449 | 0.320 | 0.242 | 0.170 | 0.395 | 367 | 0.863 | 0.392 | 0.880 | 0.072 | 0.000 | 0.288 | 0.000 | 0.341 |
127 | 0.422 | 0.335 | 0.726 | 0.449 | 0.240 | 0.242 | 0.170 | 0.438 | 368 | 0.892 | 0.392 | 0.858 | 0.057 | 0.000 | 0.364 | 0.000 | 0.344 |
128 | 0.401 | 0.240 | 0.717 | 0.449 | 0.533 | 0.152 | 0.182 | 0.449 | 369 | 0.928 | 0.392 | 0.838 | 0.043 | 0.000 | 0.424 | 0.000 | 0.333 |
129 | 0.422 | 0.088 | 0.705 | 0.449 | 0.320 | 0.242 | 0.182 | 0.465 | 370 | 0.957 | 0.392 | 0.814 | 0.027 | 0.000 | 0.500 | 0.000 | 0.312 |
130 | 0.386 | 0.621 | 0.709 | 0.449 | 0.267 | 0.000 | 0.184 | 0.569 | 371 | 0.870 | 0.469 | 0.894 | 0.082 | 0.000 | 0.152 | 0.000 | 0.375 |
131 * | 0.372 | 0.383 | 0.707 | 0.449 | 0.600 | 0.000 | 0.184 | 0.571 | 372 * | 0.892 | 0.469 | 0.865 | 0.061 | 0.000 | 0.242 | 0.000 | 0.399 |
132 | 0.386 | 0.383 | 0.675 | 0.449 | 0.333 | 0.303 | 0.184 | 0.440 | 373 | 0.913 | 0.469 | 0.844 | 0.047 | 0.000 | 0.318 | 0.000 | 0.411 |
133 | 0.473 | 0.453 | 0.586 | 0.524 | 0.555 | 0.000 | 0.383 | 0.751 | 374 | 0.942 | 0.469 | 0.817 | 0.028 | 0.000 | 0.409 | 0.000 | 0.413 |
134 * | 0.473 | 0.453 | 0.586 | 0.503 | 0.416 | 0.158 | 0.364 | 0.718 | 375 | 0.971 | 0.469 | 0.793 | 0.013 | 0.000 | 0.485 | 0.000 | 0.396 |
135 | 0.473 | 0.453 | 0.586 | 0.482 | 0.277 | 0.315 | 0.346 | 0.618 | 376 | 1.000 | 0.469 | 0.775 | 0.000 | 0.000 | 0.561 | 0.000 | 0.378 |
136 | 0.473 | 0.453 | 0.586 | 0.461 | 0.139 | 0.473 | 0.346 | 0.568 | 377 * | 0.242 | 0.621 | 0.533 | 0.900 | 0.000 | 0.303 | 0.276 | 0.822 |
137 | 0.473 | 0.453 | 0.586 | 0.439 | 0.000 | 0.630 | 0.364 | 0.484 | 378 | 0.242 | 0.621 | 0.533 | 0.900 | 0.267 | 0.000 | 0.276 | 0.828 |
138 | 0.336 | 0.248 | 0.572 | 0.735 | 0.000 | 0.412 | 0.063 | 0.215 | 379 | 0.242 | 0.621 | 0.533 | 0.900 | 0.133 | 0.152 | 0.276 | 0.837 |
139 | 0.161 | 0.217 | 0.721 | 0.556 | 0.000 | 0.570 | 0.235 | 0.242 | 380 | 0.314 | 0.316 | 0.462 | 0.997 | 0.000 | 0.485 | 0.092 | 0.235 |
140 | 0.235 | 0.288 | 0.657 | 0.537 | 0.000 | 0.682 | 0.215 | 0.337 | 381 | 0.343 | 0.278 | 0.459 | 1.000 | 0.000 | 0.545 | 0.096 | 0.212 |
141 | 0.372 | 0.373 | 0.681 | 0.500 | 0.240 | 0.273 | 0.141 | 0.469 | 382 | 0.314 | 0.240 | 0.464 | 0.999 | 0.000 | 0.606 | 0.099 | 0.195 |
142 | 0.386 | 0.339 | 0.698 | 0.503 | 0.224 | 0.255 | 0.124 | 0.421 | 383 * | 0.170 | 0.430 | 0.486 | 0.885 | 0.000 | 0.606 | 0.055 | 0.664 |
143 | 0.314 | 0.255 | 0.712 | 0.497 | 0.277 | 0.312 | 0.140 | 0.331 | 384 | 0.170 | 0.430 | 0.489 | 0.891 | 0.200 | 0.379 | 0.074 | 0.836 |
144 | 0.458 | 0.446 | 0.583 | 0.692 | 0.192 | 0.094 | 0.166 | 0.357 | 385 | 0.170 | 0.335 | 0.486 | 0.885 | 0.000 | 0.758 | 0.055 | 0.544 |
145 * | 0.372 | 0.328 | 0.672 | 0.489 | 0.365 | 0.221 | 0.201 | 0.396 | 386 | 0.386 | 0.295 | 0.502 | 0.871 | 0.501 | 0.000 | 0.107 | 0.303 |
146 | 0.296 | 0.288 | 0.721 | 0.518 | 0.000 | 0.455 | 0.179 | 0.435 | 387 | 0.386 | 0.341 | 0.492 | 0.839 | 0.552 | 0.000 | 0.119 | 0.408 |
147 | 0.296 | 0.373 | 0.689 | 0.473 | 0.000 | 0.545 | 0.215 | 0.495 | 388 | 0.386 | 0.621 | 0.496 | 0.854 | 0.267 | 0.000 | 0.129 | 0.427 |
148 | 0.166 | 0.288 | 0.689 | 0.499 | 0.000 | 0.682 | 0.248 | 0.507 | 389 | 0.386 | 0.383 | 0.481 | 0.814 | 0.600 | 0.000 | 0.129 | 0.512 |
149 | 0.623 | 0.872 | 0.023 | 0.671 | 0.000 | 0.179 | 0.151 | 0.625 | 390 * | 0.386 | 0.097 | 0.489 | 0.837 | 1.000 | 0.000 | 0.129 | 0.375 |
150 * | 0.623 | 0.760 | 0.070 | 0.671 | 0.000 | 0.358 | 0.151 | 0.565 | 391 | 0.386 | 0.469 | 0.467 | 0.776 | 0.677 | 0.000 | 0.148 | 0.636 |
151 * | 0.623 | 0.646 | 0.116 | 0.671 | 0.000 | 0.536 | 0.151 | 0.501 | 392 | 0.386 | 0.514 | 0.458 | 0.751 | 0.749 | 0.000 | 0.161 | 0.667 |
152 | 0.653 | 0.568 | 0.009 | 0.671 | 0.000 | 0.124 | 0.000 | 0.367 | 393 | 0.502 | 0.392 | 0.495 | 0.923 | 0.245 | 0.000 | 0.000 | 0.395 |
153 * | 0.653 | 0.490 | 0.042 | 0.671 | 0.000 | 0.252 | 0.000 | 0.316 | 394 | 0.502 | 0.213 | 0.495 | 0.923 | 0.496 | 0.000 | 0.000 | 0.331 |
154 | 0.653 | 0.221 | 0.074 | 0.671 | 0.000 | 0.376 | 0.000 | 0.266 | 395 * | 0.502 | 0.392 | 0.495 | 0.923 | 0.000 | 0.279 | 0.000 | 0.288 |
155 | 0.653 | 0.366 | 0.000 | 0.671 | 0.000 | 0.091 | 0.000 | 0.168 | 396 | 0.097 | 0.156 | 0.515 | 0.978 | 0.000 | 0.655 | 0.132 | 0.295 |
156 | 0.653 | 0.310 | 0.023 | 0.671 | 0.000 | 0.179 | 0.000 | 0.128 | 397 | 0.841 | 0.874 | 0.446 | 0.376 | 0.000 | 0.403 | 0.000 | 0.695 |
157 | 0.653 | 0.253 | 0.047 | 0.671 | 0.000 | 0.270 | 0.000 | 0.085 | 398 | 0.848 | 0.653 | 0.549 | 0.376 | 0.000 | 0.315 | 0.000 | 0.532 |
158 | 0.653 | 0.872 | 0.417 | 0.671 | 0.157 | 0.000 | 0.000 | 0.554 | 399 | 0.856 | 0.510 | 0.615 | 0.376 | 0.000 | 0.258 | 0.000 | 0.413 |
159 | 0.653 | 0.760 | 0.414 | 0.671 | 0.315 | 0.000 | 0.000 | 0.614 | 400 | 0.863 | 0.413 | 0.664 | 0.376 | 0.000 | 0.218 | 0.000 | 0.337 |
160 | 0.653 | 0.535 | 0.406 | 0.671 | 0.632 | 0.000 | 0.000 | 0.604 | 401 | 0.899 | 1.000 | 0.446 | 0.376 | 0.237 | 0.000 | 0.000 | 0.652 |
161 | 0.653 | 0.568 | 0.535 | 0.671 | 0.109 | 0.000 | 0.000 | 0.419 | 402 | 0.892 | 0.905 | 0.446 | 0.376 | 0.365 | 0.000 | 0.000 | 0.674 |
162 | 0.653 | 0.490 | 0.532 | 0.671 | 0.221 | 0.000 | 0.000 | 0.442 | 403 | 0.899 | 0.747 | 0.549 | 0.376 | 0.187 | 0.000 | 0.000 | 0.539 |
163 | 0.653 | 0.331 | 0.527 | 0.671 | 0.443 | 0.000 | 0.000 | 0.436 | 404 | 0.892 | 0.674 | 0.549 | 0.376 | 0.285 | 0.000 | 0.000 | 0.533 |
164 | 0.653 | 0.366 | 0.622 | 0.671 | 0.080 | 0.000 | 0.000 | 0.220 | 405 * | 0.899 | 0.589 | 0.615 | 0.376 | 0.152 | 0.000 | 0.000 | 0.427 |
165 | 0.653 | 0.310 | 0.619 | 0.671 | 0.157 | 0.000 | 0.000 | 0.219 | 406 | 0.899 | 0.526 | 0.615 | 0.376 | 0.232 | 0.000 | 0.000 | 0.457 |
166 | 0.653 | 0.196 | 0.615 | 0.671 | 0.315 | 0.000 | 0.000 | 0.218 | 407 | 0.899 | 0.423 | 0.660 | 0.376 | 0.197 | 0.000 | 0.000 | 0.311 |
167 | 0.650 | 0.760 | 0.407 | 0.671 | 0.157 | 0.179 | 0.014 | 0.549 | 408 | 0.260 | 0.692 | 0.622 | 0.532 | 0.061 | 0.337 | 0.276 | 0.485 |
168 | 0.650 | 0.648 | 0.393 | 0.671 | 0.157 | 0.358 | 0.016 | 0.502 | 409 | 0.134 | 0.550 | 0.664 | 0.602 | 0.051 | 0.359 | 0.184 | 0.300 |
169 | 0.649 | 0.423 | 0.395 | 0.671 | 0.632 | 0.179 | 0.017 | 0.512 | 410 | 0.000 | 0.413 | 0.705 | 0.670 | 0.041 | 0.380 | 0.151 | 0.280 |
170 | 0.649 | 0.310 | 0.381 | 0.671 | 0.632 | 0.358 | 0.017 | 0.463 | 411 | 0.295 | 0.555 | 0.645 | 0.569 | 0.051 | 0.349 | 0.099 | 0.314 |
171 | 0.653 | 0.490 | 0.530 | 0.671 | 0.109 | 0.124 | 0.000 | 0.449 | 412 | 0.300 | 0.365 | 0.676 | 0.622 | 0.037 | 0.365 | 0.074 | 0.243 |
172 | 0.653 | 0.411 | 0.520 | 0.671 | 0.109 | 0.252 | 0.000 | 0.396 | 413 | 0.329 | 0.621 | 0.645 | 0.518 | 0.427 | 0.000 | 0.453 | 0.717 |
173 * | 0.653 | 0.253 | 0.522 | 0.671 | 0.443 | 0.124 | 0.000 | 0.408 | 414 | 0.514 | 0.530 | 0.637 | 0.606 | 0.626 | 0.000 | 0.304 | 0.642 |
174 * | 0.653 | 0.175 | 0.511 | 0.671 | 0.443 | 0.252 | 0.000 | 0.354 | 415 | 0.514 | 0.530 | 0.637 | 0.606 | 0.269 | 0.405 | 0.387 | 0.466 |
175 | 0.653 | 0.310 | 0.649 | 0.671 | 0.080 | 0.091 | 0.000 | 0.229 | 416 | 0.514 | 0.530 | 0.637 | 0.606 | 0.000 | 0.711 | 0.566 | 0.404 |
176 | 0.653 | 0.253 | 0.669 | 0.671 | 0.080 | 0.179 | 0.000 | 0.191 | 417 | 0.514 | 0.362 | 0.641 | 0.600 | 0.861 | 0.000 | 0.287 | 0.561 |
177 | 0.653 | 0.141 | 0.707 | 0.671 | 0.315 | 0.091 | 0.000 | 0.207 | 418 * | 0.514 | 0.362 | 0.641 | 0.600 | 0.370 | 0.558 | 0.431 | 0.462 |
178 | 0.653 | 0.084 | 0.726 | 0.671 | 0.315 | 0.179 | 0.000 | 0.191 | 419 | 0.444 | 0.495 | 0.657 | 0.627 | 0.255 | 0.384 | 0.595 | 0.394 |
179 | 0.278 | 0.556 | 0.626 | 0.643 | 0.000 | 0.276 | 0.168 | 0.452 | 420 | 0.444 | 0.495 | 0.657 | 0.627 | 0.000 | 0.674 | 0.198 | 0.566 |
180 * | 0.278 | 0.469 | 0.614 | 0.643 | 0.000 | 0.415 | 0.168 | 0.445 | 421 | 0.444 | 0.336 | 0.657 | 0.627 | 0.816 | 0.000 | 0.216 | 0.586 |
181 | 0.278 | 0.381 | 0.603 | 0.643 | 0.000 | 0.555 | 0.168 | 0.432 | 422 | 0.444 | 0.336 | 0.657 | 0.627 | 0.351 | 0.528 | 0.275 | 0.442 |
182 | 0.278 | 0.295 | 0.591 | 0.643 | 0.000 | 0.694 | 0.168 | 0.299 | 423 | 0.444 | 0.336 | 0.657 | 0.627 | 0.000 | 0.927 | 0.403 | 0.359 |
183 * | 0.278 | 0.208 | 0.580 | 0.643 | 0.000 | 0.830 | 0.168 | 0.235 | 424 | 0.375 | 0.461 | 0.676 | 0.646 | 0.562 | 0.000 | 0.516 | 0.422 |
184 | 0.278 | 0.120 | 0.568 | 0.643 | 0.000 | 0.970 | 0.168 | 0.141 | 425 | 0.375 | 0.461 | 0.676 | 0.646 | 0.258 | 0.345 | 0.563 | 0.350 |
185 | 0.314 | 0.400 | 0.709 | 0.643 | 0.000 | 0.215 | 0.000 | 0.373 | 426 | 0.375 | 0.461 | 0.676 | 0.646 | 0.000 | 0.638 | 0.187 | 0.549 |
186 | 0.314 | 0.333 | 0.699 | 0.643 | 0.000 | 0.324 | 0.000 | 0.329 | 427 | 0.375 | 0.310 | 0.676 | 0.646 | 0.772 | 0.000 | 0.205 | 0.569 |
187 | 0.314 | 0.265 | 0.690 | 0.643 | 0.000 | 0.430 | 0.000 | 0.291 | 428 | 0.375 | 0.310 | 0.676 | 0.646 | 0.355 | 0.474 | 0.261 | 0.344 |
188 | 0.314 | 0.198 | 0.681 | 0.643 | 0.000 | 0.539 | 0.000 | 0.213 | 429 | 0.375 | 0.310 | 0.676 | 0.646 | 0.000 | 0.878 | 0.381 | 0.331 |
189 | 0.314 | 0.130 | 0.672 | 0.643 | 0.000 | 0.645 | 0.000 | 0.154 | 430 | 0.516 | 0.530 | 0.637 | 0.606 | 0.627 | 0.000 | 0.259 | 0.662 |
190 * | 0.314 | 0.063 | 0.662 | 0.643 | 0.000 | 0.755 | 0.000 | 0.068 | 431 * | 0.254 | 0.457 | 0.494 | 0.831 | 0.279 | 0.317 | 0.328 | 0.552 |
191 | 0.314 | 0.303 | 0.755 | 0.643 | 0.000 | 0.176 | 0.000 | 0.284 | 432 | 0.250 | 0.458 | 0.495 | 0.831 | 0.280 | 0.318 | 0.386 | 0.572 |
192 | 0.314 | 0.248 | 0.747 | 0.643 | 0.000 | 0.264 | 0.000 | 0.224 | 433 | 0.230 | 0.449 | 0.487 | 0.810 | 0.276 | 0.313 | 0.420 | 0.603 |
193 | 0.314 | 0.192 | 0.740 | 0.643 | 0.000 | 0.352 | 0.000 | 0.193 | 434 | 0.408 | 0.288 | 0.689 | 0.429 | 0.360 | 0.273 | 0.215 | 0.610 |
194 | 0.314 | 0.135 | 0.732 | 0.643 | 0.000 | 0.439 | 0.000 | 0.130 | 435 * | 0.408 | 0.159 | 0.689 | 0.394 | 0.360 | 0.477 | 0.215 | 0.575 |
195 | 0.314 | 0.080 | 0.724 | 0.643 | 0.000 | 0.530 | 0.000 | 0.073 | 436 | 0.408 | 0.459 | 0.689 | 0.438 | 0.120 | 0.273 | 0.215 | 0.606 |
196 | 0.314 | 0.025 | 0.717 | 0.643 | 0.000 | 0.618 | 0.000 | 0.029 | 437 | 0.329 | 0.288 | 0.689 | 0.467 | 0.360 | 0.273 | 0.215 | 0.739 |
197 | 0.314 | 0.234 | 0.787 | 0.643 | 0.000 | 0.148 | 0.000 | 0.197 | 438 | 0.495 | 0.288 | 0.689 | 0.392 | 0.360 | 0.273 | 0.215 | 0.491 |
198 | 0.314 | 0.187 | 0.781 | 0.643 | 0.000 | 0.224 | 0.000 | 0.191 | 439 * | 0.365 | 0.466 | 0.689 | 0.478 | 0.217 | 0.151 | 0.195 | 0.684 |
199 * | 0.314 | 0.141 | 0.774 | 0.643 | 0.000 | 0.297 | 0.000 | 0.131 | 440 | 0.365 | 0.109 | 0.689 | 0.425 | 0.503 | 0.395 | 0.195 | 0.647 |
200 | 0.314 | 0.093 | 0.768 | 0.643 | 0.000 | 0.373 | 0.000 | 0.076 | 441 | 0.458 | 0.313 | 0.689 | 0.391 | 0.217 | 0.395 | 0.195 | 0.558 |
201 | 0.314 | 0.046 | 0.762 | 0.643 | 0.000 | 0.448 | 0.000 | 0.042 | 442 | 0.458 | 0.262 | 0.689 | 0.424 | 0.503 | 0.151 | 0.195 | 0.545 |
202 | 0.314 | 0.000 | 0.755 | 0.643 | 0.000 | 0.521 | 0.000 | 0.000 | 443 | 0.372 | 0.240 | 0.721 | 0.456 | 0.320 | 0.242 | 0.177 | 0.529 |
203 | 0.430 | 0.430 | 0.721 | 0.486 | 0.000 | 0.227 | 0.138 | 0.373 | 444 | 0.372 | 0.354 | 0.721 | 0.487 | 0.320 | 0.061 | 0.177 | 0.497 |
204 * | 0.292 | 0.288 | 0.721 | 0.518 | 0.000 | 0.455 | 0.180 | 0.435 | 445 * | 0.372 | 0.126 | 0.721 | 0.424 | 0.320 | 0.424 | 0.177 | 0.483 |
205 | 0.155 | 0.217 | 0.721 | 0.556 | 0.000 | 0.570 | 0.208 | 0.488 | 446 | 0.372 | 0.392 | 0.721 | 0.463 | 0.107 | 0.242 | 0.177 | 0.533 |
206 | 0.047 | 0.145 | 0.721 | 0.587 | 0.000 | 0.682 | 0.248 | 0.339 | 447 | 0.372 | 0.088 | 0.721 | 0.449 | 0.533 | 0.242 | 0.177 | 0.483 |
207 | 0.422 | 0.545 | 0.689 | 0.461 | 0.000 | 0.273 | 0.182 | 0.502 | 448 | 0.285 | 0.240 | 0.721 | 0.496 | 0.320 | 0.242 | 0.177 | 0.639 |
208 | 0.292 | 0.373 | 0.689 | 0.473 | 0.000 | 0.545 | 0.215 | 0.495 | 449 | 0.458 | 0.240 | 0.721 | 0.416 | 0.320 | 0.242 | 0.177 | 0.437 |
209 | 0.162 | 0.288 | 0.689 | 0.499 | 0.000 | 0.682 | 0.248 | 0.507 | 450 | 0.321 | 0.398 | 0.721 | 0.504 | 0.192 | 0.133 | 0.159 | 0.608 |
210 | 0.069 | 0.202 | 0.689 | 0.524 | 0.000 | 0.818 | 0.298 | 0.428 | 451 | 0.321 | 0.082 | 0.721 | 0.457 | 0.448 | 0.352 | 0.159 | 0.518 |
211 | 0.432 | 0.430 | 0.721 | 0.486 | 0.000 | 0.227 | 0.142 | 0.373 | 452 | 0.422 | 0.263 | 0.721 | 0.418 | 0.192 | 0.352 | 0.159 | 0.412 |
212 | 0.296 | 0.288 | 0.721 | 0.518 | 0.000 | 0.455 | 0.196 | 0.435 | 453 | 0.422 | 0.217 | 0.721 | 0.447 | 0.448 | 0.133 | 0.159 | 0.528 |
213 | 0.161 | 0.217 | 0.721 | 0.556 | 0.000 | 0.570 | 0.208 | 0.488 | 454 | 0.432 | 0.216 | 0.721 | 0.458 | 0.300 | 0.227 | 0.152 | 0.347 |
214 * | 0.053 | 0.145 | 0.721 | 0.587 | 0.000 | 0.682 | 0.273 | 0.339 | 455 | 0.432 | 0.323 | 0.721 | 0.489 | 0.300 | 0.057 | 0.152 | 0.391 |
215 | 0.426 | 0.545 | 0.689 | 0.461 | 0.000 | 0.273 | 0.158 | 0.502 | 456 | 0.432 | 0.109 | 0.721 | 0.429 | 0.300 | 0.398 | 0.152 | 0.270 |
216 * | 0.296 | 0.373 | 0.689 | 0.473 | 0.000 | 0.545 | 0.182 | 0.495 | 457 | 0.432 | 0.359 | 0.721 | 0.466 | 0.100 | 0.227 | 0.152 | 0.358 |
217 | 0.166 | 0.288 | 0.689 | 0.499 | 0.000 | 0.682 | 0.238 | 0.507 | 458 | 0.432 | 0.073 | 0.721 | 0.452 | 0.500 | 0.227 | 0.152 | 0.293 |
218 | 0.069 | 0.202 | 0.689 | 0.524 | 0.000 | 0.818 | 0.272 | 0.428 | 459 * | 0.350 | 0.216 | 0.721 | 0.496 | 0.300 | 0.227 | 0.152 | 0.452 |
219 | 0.856 | 0.494 | 0.426 | 0.770 | 0.000 | 0.178 | 0.000 | 0.422 | 460 | 0.513 | 0.216 | 0.721 | 0.420 | 0.300 | 0.227 | 0.152 | 0.289 |
220 | 0.856 | 0.382 | 0.408 | 0.770 | 0.000 | 0.356 | 0.000 | 0.321 | 461 | 0.383 | 0.365 | 0.721 | 0.503 | 0.181 | 0.126 | 0.169 | 0.392 |
221 | 0.856 | 0.492 | 0.440 | 0.770 | 0.157 | 0.000 | 0.000 | 0.461 | 462 | 0.383 | 0.067 | 0.721 | 0.459 | 0.419 | 0.329 | 0.169 | 0.253 |
222 | 0.856 | 0.382 | 0.436 | 0.770 | 0.314 | 0.000 | 0.000 | 0.406 | 463 | 0.479 | 0.238 | 0.721 | 0.423 | 0.181 | 0.329 | 0.169 | 0.254 |
223 | 0.675 | 0.905 | 0.381 | 0.729 | 0.000 | 0.185 | 0.114 | 0.417 | 464 | 0.479 | 0.195 | 0.721 | 0.449 | 0.419 | 0.126 | 0.135 | 0.314 |
224 | 0.675 | 0.789 | 0.373 | 0.729 | 0.000 | 0.370 | 0.114 | 0.396 | 465 * | 0.342 | 0.173 | 0.690 | 0.721 | 0.000 | 0.435 | 0.000 | 0.228 |
225 | 0.675 | 0.672 | 0.366 | 0.729 | 0.000 | 0.555 | 0.114 | 0.392 | 466 | 0.423 | 0.173 | 0.567 | 0.721 | 0.343 | 0.400 | 0.297 | 0.452 |
226 | 0.690 | 0.672 | 0.472 | 0.729 | 0.000 | 0.142 | 0.044 | 0.340 | 467 | 0.458 | 0.198 | 0.568 | 0.723 | 0.346 | 0.359 | 0.131 | 0.372 |
227 * | 0.690 | 0.581 | 0.466 | 0.729 | 0.000 | 0.288 | 0.044 | 0.334 | 468 | 0.426 | 0.178 | 0.567 | 0.722 | 0.346 | 0.390 | 0.287 | 0.394 |
228 | 0.690 | 0.491 | 0.461 | 0.729 | 0.000 | 0.430 | 0.044 | 0.320 | 469 | 0.291 | 0.187 | 0.654 | 0.722 | 0.036 | 0.522 | 0.162 | 0.311 |
229 | 0.697 | 0.524 | 0.529 | 0.729 | 0.000 | 0.118 | 0.015 | 0.347 | 470 | 0.349 | 0.190 | 0.605 | 0.722 | 0.133 | 0.526 | 0.238 | 0.361 |
230 | 0.697 | 0.450 | 0.525 | 0.729 | 0.000 | 0.236 | 0.015 | 0.382 | 471 | 0.343 | 0.177 | 0.586 | 0.723 | 0.201 | 0.506 | 0.291 | 0.397 |
231 | 0.697 | 0.377 | 0.520 | 0.729 | 0.000 | 0.352 | 0.015 | 0.392 | 472 | 0.403 | 0.190 | 0.567 | 0.723 | 0.249 | 0.485 | 0.358 | 0.357 |
232 * | 0.623 | 0.872 | 0.424 | 0.680 | 0.158 | 0.000 | 0.152 | 0.614 | 473 | 0.362 | 0.222 | 0.609 | 0.814 | 0.000 | 0.379 | 0.364 | 0.213 |
233 | 0.623 | 0.760 | 0.420 | 0.680 | 0.315 | 0.000 | 0.152 | 0.598 | 474 | 0.544 | 0.335 | 0.655 | 0.649 | 0.000 | 0.290 | 0.196 | 0.239 |
234 | 0.623 | 0.535 | 0.413 | 0.680 | 0.631 | 0.000 | 0.152 | 0.569 | 475 | 0.308 | 0.266 | 0.587 | 0.769 | 0.000 | 0.528 | 0.429 | 0.433 |
235 | 0.650 | 0.568 | 0.542 | 0.680 | 0.110 | 0.000 | 0.015 | 0.419 | 476 | 0.388 | 0.230 | 0.690 | 0.711 | 0.000 | 0.305 | 0.275 | 0.351 |
236 | 0.650 | 0.490 | 0.540 | 0.680 | 0.221 | 0.000 | 0.015 | 0.472 | 477 | 0.552 | 0.338 | 0.573 | 0.769 | 0.000 | 0.358 | 0.212 | 0.306 |
237 | 0.650 | 0.332 | 0.535 | 0.680 | 0.441 | 0.000 | 0.015 | 0.423 | 478 | 0.355 | 0.230 | 0.694 | 0.722 | 0.000 | 0.305 | 0.275 | 0.137 |
238 | 0.653 | 0.366 | 0.622 | 0.680 | 0.079 | 0.000 | 0.000 | 0.210 | 479 | 0.519 | 0.338 | 0.576 | 0.750 | 0.000 | 0.358 | 0.234 | 0.242 |
239 * | 0.653 | 0.310 | 0.619 | 0.680 | 0.158 | 0.000 | 0.000 | 0.207 | 480 | 0.455 | 0.193 | 0.567 | 0.725 | 0.282 | 0.428 | 0.082 | 0.213 |
240 | 0.653 | 0.197 | 0.615 | 0.680 | 0.315 | 0.000 | 0.000 | 0.228 | 481 | 0.581 | 0.347 | 0.608 | 0.717 | 0.014 | 0.236 | 0.262 | 0.182 |
241 | 0.473 | 0.750 | 0.625 | 0.500 | 0.000 | 0.158 | 0.287 | 0.647 | 482 * | 0.482 | 0.309 | 0.616 | 0.716 | 0.169 | 0.215 | 0.205 | 0.270 |
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Inputs | Output | |||||||
---|---|---|---|---|---|---|---|---|
x1 | x2 | x3 | x4 | x5 | x6 | x7 | y | |
Maximum | 255 | 599 | 1293 | 1226 | 375 | 330 | 27.17 | 95.3 |
Minimum | 116.5 | 74 | 30 | 436 | 0 | 0 | 0 | 5.66 |
i | |||||||||
---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
j | 1 | 0.6144 | 0.8055 | 0.1110 | 0.8372 | 1.7008 | −0.3427 | 0.6209 | 0.5749 |
2 | 1.3936 | 1.0523 | 1.4664 | 0.1982 | −0.4601 | −0.5712 | 0.5264 | 3.1878 | |
3 | 0.5066 | −1.7844 | 0.0736 | −1.7298 | −1.0940 | 0.0095 | −0.9082 | 1.1462 | |
4 | −1.3016 | 0.8221 | 1.3503 | 0.2557 | 0.0471 | 2.0145 | −1.1131 | 1.5552 | |
5 | −0.4564 | 0.0257 | −1.7657 | 2.7258 | −1.7268 | −1.9379 | 0.2811 | 1.4361 | |
6 | −0.0404 | 0.1909 | 1.1077 | 2.3484 | −0.5073 | 2.2264 | −0.1963 | 1.4299 | |
7 | 0.7199 | −0.0957 | 0.2010 | −0.1656 | 2.5119 | −0.2500 | 0.0705 | −0.1386 |
j | |||||||
---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
−1.0706 | −0.2102 | 2.0741 | 2.3526 | −1.2642 | −1.3384 | 2.2950 | −1.5356 |
Ingredients (kg/m3) | Compressive Strength (MPa) | ||||||||
---|---|---|---|---|---|---|---|---|---|
Water | Cement | Fine Aggregate | Coarse Aggregate | Blast Furnace Slag | Fly Ash | Super-Plasticizer | Actual | Predicted in Ref. [16] | Predicted by Present Model |
194 | 223 | 669 | 1040 | 76 | 72 | 0.74 | 44.10 | 34.43 | 40.20 |
184 | 244 | 649 | 1104 | 105 | 19 | 0.79 | 47.99 | 32.26 | 42.87 |
187 | 194 | 650 | 1072 | 171 | 22 | 0.81 | 49.75 | 34.85 | 42.60 |
189 | 272 | 670 | 1040 | 121 | 14 | 0.70 | 52.87 | 35.60 | 47.14 |
191 | 346 | 549 | 1136 | 38 | 41 | 0.73 | 46.70 | 45.96 | 43.99 |
189 | 261 | 619 | 1072 | 93 | 57 | 0.88 | 47.06 | 39.04 | 45.78 |
204 | 331 | 457 | 1136 | 99 | 54 | 0.77 | 54.52 | 54.55 | 44.53 |
191 | 280 | 555 | 1104 | 121 | 46 | 0.68 | 47.61 | 50.16 | 46.91 |
210 | 300 | 535 | 1040 | 131 | 51 | 0.54 | 46.06 | 52.05 | 47.60 |
207 | 430 | 604 | 960 | 20 | 61 | 0.76 | 54.30 | 40.08 | 52.32 |
190 | 329 | 516 | 1104 | 112 | 52 | 0.87 | 54.98 | 55.07 | 50.83 |
208 | 351 | 554 | 960 | 52 | 121 | 0.72 | 55.13 | 40.91 | 52.00 |
Ingredients (kg/m3) | Compressive Strength (MPa) | Ingredients (kg/m3) | Compressive Strength (MPa) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Water | Cement | Fine Aggregate | Coarse Aggregate | Fly Ash | Actual | Predicted | Water | Cement | Fine Aggregate | Coarse Aggregate | Fly Ash | Actual | Predicted |
198.75 | 375.00 | 592.50 | 1143.75 | 0.00 | 36.84 | 37.51 | 191.25 | 425.00 | 463.25 | 1139.00 | 0.00 | 50.35 | 42.83 |
200.00 | 400.00 | 572.00 | 1128.00 | 0.00 | 43.13 | 39.88 | 189.00 | 450.00 | 441.00 | 1102.50 | 0.00 | 54.11 | 47.58 |
212.00 | 400.00 | 616.00 | 1196.00 | 0.00 | 38.58 | 34.23 | 198.75 | 375.00 | 551.25 | 903.75 | 0.00 | 37.3 | 50.61 |
199.75 | 425.00 | 544.00 | 1096.50 | 0.00 | 47.16 | 43.36 | 200.00 | 400.00 | 528.00 | 884.00 | 0.00 | 44.04 | 54.08 |
208.25 | 425.00 | 590.75 | 1177.25 | 0.00 | 45.05 | 37.44 | 212.00 | 400.00 | 576.00 | 944.00 | 0.00 | 39.61 | 45.73 |
198.00 | 450.00 | 513.00 | 1057.50 | 0.00 | 49.63 | 47.81 | 199.75 | 425.00 | 505.75 | 862.75 | 0.00 | 47.37 | 58.13 |
211.50 | 450.00 | 562.50 | 1143.00 | 0.00 | 47.42 | 39.59 | 208.25 | 425.00 | 548.25 | 926.50 | 0.00 | 44.69 | 50.23 |
199.50 | 475.00 | 498.75 | 1040.25 | 0.00 | 54.01 | 50.01 | 198.00 | 450.00 | 481.50 | 837.00 | 0.00 | 50.93 | 63.16 |
209.00 | 475.00 | 565.25 | 1168.50 | 0.00 | 50.05 | 40.59 | 211.50 | 450.00 | 526.50 | 900.00 | 0.00 | 48.08 | 52.86 |
198.75 | 375.00 | 592.50 | 1143.75 | 0.00 | 37.81 | 37.51 | 199.50 | 475.00 | 451.25 | 798.00 | 0.00 | 54.14 | 68.13 |
200.00 | 400.00 | 572.00 | 1128.00 | 0.00 | 44.11 | 39.88 | 209.00 | 475.00 | 503.50 | 874.00 | 0.00 | 51.31 | 57.50 |
212.00 | 400.00 | 616.00 | 1196.00 | 0.00 | 40.9 | 34.23 | 180.00 | 400.00 | 440.00 | 1080.00 | 60.00 | 39.04 | 48.88 |
199.75 | 425.00 | 544.00 | 1096.50 | 0.00 | 47.51 | 43.36 | 178.50 | 425.00 | 416.50 | 1045.50 | 63.75 | 45.09 | 53.70 |
208.25 | 425.00 | 590.75 | 1177.25 | 0.00 | 45.3 | 37.44 | 191.25 | 425.00 | 463.25 | 1139.00 | 63.75 | 41.14 | 44.16 |
216.75 | 425.00 | 641.75 | 1253.75 | 0.00 | 42.54 | 33.08 | 199.75 | 425.00 | 544.00 | 1096.50 | 63.75 | 38.35 | 45.00 |
198.00 | 450.00 | 513.00 | 1057.50 | 0.00 | 52.03 | 47.81 | 189.00 | 450.00 | 441.00 | 1102.50 | 67.50 | 46.13 | 48.59 |
211.50 | 450.00 | 562.50 | 1143.00 | 0.00 | 48.74 | 39.59 | 198.00 | 450.00 | 513.00 | 1057.50 | 67.50 | 42.5 | 49.15 |
220.50 | 450.00 | 616.50 | 1228.50 | 0.00 | 46.59 | 34.47 | 211.50 | 450.00 | 562.50 | 1143.00 | 67.50 | 39.58 | 41.91 |
199.50 | 475.00 | 498.75 | 1040.25 | 0.00 | 54.49 | 50.01 | 199.50 | 475.00 | 498.75 | 1040.25 | 71.25 | 47.34 | 51.29 |
209.00 | 475.00 | 565.25 | 1168.50 | 0.00 | 53.06 | 40.59 | 209.00 | 475.00 | 565.25 | 1168.50 | 71.25 | 43.55 | 43.09 |
218.50 | 475.00 | 584.25 | 1192.25 | 0.00 | 49.18 | 37.41 | 191.25 | 425.00 | 463.25 | 1139.00 | 63.75 | 42.01 | 44.16 |
221.00 | 425.00 | 607.75 | 858.50 | 0.00 | 40.02 | 48.94 | 199.75 | 425.00 | 544.00 | 1096.50 | 63.75 | 38.85 | 45.00 |
220.50 | 450.00 | 580.50 | 837.00 | 0.00 | 45.25 | 52.77 | 189.00 | 450.00 | 441.00 | 1102.50 | 67.50 | 47.25 | 48.59 |
229.50 | 450.00 | 175.95 | 855.00 | 0.00 | 42.68 | 49.07 | 198.00 | 450.00 | 513.00 | 1057.50 | 67.50 | 43.09 | 49.15 |
218.50 | 475.00 | 555.75 | 817.00 | 0.00 | 48.67 | 56.97 | 211.50 | 450.00 | 562.50 | 1143.00 | 67.50 | 40.26 | 41.91 |
228.00 | 475.00 | 598.50 | 869.25 | 0.00 | 45.52 | 49.91 | 220.50 | 450.00 | 616.50 | 1228.50 | 67.50 | 37.15 | 37.48 |
178.50 | 350.00 | 486.50 | 1141.00 | 0.00 | 39.52 | 40.43 | 199.50 | 475.00 | 498.75 | 1040.25 | 71.25 | 48.41 | 51.29 |
189.00 | 350.00 | 521.50 | 1197.00 | 0.00 | 31.66 | 34.46 | 209.00 | 475.00 | 565.25 | 1168.50 | 71.25 | 44.02 | 43.09 |
180.00 | 375.00 | 468.75 | 1121.25 | 0.00 | 42.73 | 43.49 | 218.50 | 475.00 | 584.25 | 1192.25 | 71.25 | 40.73 | 40.26 |
191.25 | 375.00 | 506.25 | 1196.25 | 0.00 | 40.69 | 35.95 | 199.75 | 425.00 | 505.75 | 862.75 | 63.75 | 38.9 | 58.24 |
180.00 | 400.00 | 440.00 | 1080.00 | 0.00 | 47.99 | 48.40 | 198.00 | 450.00 | 481.50 | 837.00 | 67.50 | 43.22 | 62.94 |
192.00 | 400.00 | 484.00 | 1168.00 | 0.00 | 44.89 | 39.14 | 211.50 | 450.00 | 526.50 | 900.00 | 67.50 | 39.85 | 53.71 |
178.50 | 425.00 | 416.50 | 1049.75 | 0.00 | 51.25 | 53.24 | 220.50 | 450.00 | 580.50 | 837.00 | 67.50 | 36.87 | 53.69 |
191.25 | 425.00 | 463.25 | 1139.00 | 0.00 | 49.05 | 42.83 | 229.50 | 450.00 | 625.50 | 891.00 | 67.50 | 35.23 | 47.81 |
189.00 | 450.00 | 441.00 | 1102.50 | 0.00 | 53.69 | 47.58 | 199.50 | 475.00 | 451.25 | 798.00 | 71.25 | 47.94 | 67.52 |
189.00 | 350.00 | 521.50 | 1197.00 | 0.00 | 36.64 | 34.46 | 209.00 | 475.00 | 503.50 | 874.00 | 71.25 | 43.87 | 58.03 |
191.25 | 375.00 | 506.25 | 1196.25 | 0.00 | 41.57 | 35.95 | 218.50 | 475.00 | 555.75 | 817.00 | 71.25 | 40.34 | 57.64 |
192.00 | 400.00 | 484.00 | 1168.00 | 0.00 | 46.22 | 39.14 | 228.00 | 475.00 | 598.50 | 869.25 | 71.25 | 37.65 | 51.32 |
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Lin, C.-J.; Wu, N.-J. An ANN Model for Predicting the Compressive Strength of Concrete. Appl. Sci. 2021, 11, 3798. https://doi.org/10.3390/app11093798
Lin C-J, Wu N-J. An ANN Model for Predicting the Compressive Strength of Concrete. Applied Sciences. 2021; 11(9):3798. https://doi.org/10.3390/app11093798
Chicago/Turabian StyleLin, Chia-Ju, and Nan-Jing Wu. 2021. "An ANN Model for Predicting the Compressive Strength of Concrete" Applied Sciences 11, no. 9: 3798. https://doi.org/10.3390/app11093798