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decimal-e.h
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// Decimal table for:
// 271 828 182 845 904 523 536 028 747 135 266 249 775 724 709 369 995 957 496 696
// 762 772 407 663 035 354 759 457 138 217 852 516 642 742 746 639 193 200 305 992
// 181 741 359 662 904 357 290 033 429 526 059 563 073 813 232 862 794 349 076 323
// 382 988 075 319 525 101 901 157 383 418 793 070 215 408 914 993 488 416 750 924
// 476 146 066 808 226 480 016 847 741 185 374 234 544 243 710 753 907 774 499 206
// 955 170 276 183 860 626 133 138 458 300 075 204 493 382 656 029 760 673 711 320
// 070 932 870 912 744 374 704 723 069 697 720 931 014 169 283 681 902 551 510 865
// 746 377 211 125 238 978 442 505 695 369 677 078 544 996 996 794 686 445 490 598
// 793 163 688 923 009 879 312 773 617 821 542 499 922 957 635 148 220 826 989 519
// 366 803 318 252 886 939 849 646 510 582 093 923 982 948 879 332 036 250 944 311
// 730 123 819 706 841 614 039 701 983 767 932 068 328 237 646 480 429 531 180 232
// 878 250 981 945 581 530 175 671 736 133 206 981 125 099 618 188 159 304 169 035
// 159 888 851 934 580 727 386 673 858 942 287 922 849 989 208 680 582 574 927 961
// 048 419 844 436 346 324 496 848 756 023 362 482 704 197 862 320 900 216 099 023
// 530 436 994 184 914 631 409 343 173 814 364 054 625 315 209 618 369 088 870 701
// 676 839 642 437 814 059 271 456 354 906 130 310 720 851 038 375 051 011 574 770
// 417 189 861 068 739 696 552 126 715 468 895 703 503 540 212 340 784 981 933 432
// 106 817 012 100 562 788 023 519 303 322 474 501 585 390 473 041 995 777 709 350
// 366 041 699 732 972 508 868 769 664 035 557 071 622 684 471 625 607 988 265 178
// 713 419 512 466 520 103 059 212 366 771 943 252 786 753 985 589 448 969 709 640
// 975 459 185 695 638 023 637 016 211 204 774 272 283 648 961 342 251 644 507 818
// 244 235 294 863 637 214 174 023 889 344 124 796 357 437 026 375 529 444 833 799
// 801 612 549 227 850 925 778 256 209 262 264 832 627 793 338 656 648 162 772 516
// 401 910 590 049 164 499 828 931 505 660 472 580 277 863 186 415 519 565 324 425
// 869 829 469 593 080 191 529 872 117 255 634 754 639 644 791 014 590 409 058 629
// 849 679 128 740 687 050 489 585 867 174 798 546 677 575 732 056 812 884 592 054
// 133 405 392 200 011 378 630 094 556 068 816 674 001 698 420 558 040 336 379 537
// 645 203 040 243 225 661 352 783 695 117 788 386 387 443 966 253 224 985 065 499
// 588 623 428 189 970 773 327 617 178 392 803 494 650 143 455 889 707 194 258 639
// 877 275 471 096 295 374 152 111 513 683 506 275 260 232 648 472 870 392 076 431
// 005 958 411 661 205 452 970 302 364 725 492 966 693 811 513 732 275 364 509 888
// 903 136 020 572 481 765 851 180 630 364 428 123 149 655 070 475 102 544 650 117
// 272 115 551 948 668 508 003 685 322 818 315 219 600 373 562 527 944 951 582 841
// 882 947 876 108 526 398 139 559 900 673 764 829 224 437 528 718 462 457 803 619
// 298 197 139 914 756 448 826 260 390 338 144 182 326 251 509 748 279 877 799 643
// 730 899 703 888 677 822 713 836 057 729 788 241 256 119 071 766 394 650 706 330
// 452 795 466 185 509 666 618 566 470 971 134 447 401 607 046 262 156 807 174 818
// 778 443 714 369 882 185 596 709 591 025 968 620 023 537 185 887 485 696 522 000
// 503 117 343 920 732 113 908 032 936 344 797 273 559 552 773 490 717 837 934 216
// 370 120 500 545 132 638 354 400 018 632 399 149 070 547 977 805 669 785 335 804
// 896 690 629 511 943 247 309 958 765 523 681 285 904 138 324 116 072 260 299 833
// 053 537 087 613 893 963 917 795 745 401 613 722 361 878 936 526 053 815 584 158
// 718 692 553 860 616 477 983 402 543 512 843 961 294 603 529 133 259 427 949 043
// 372 990 857 315 802 909 586 313 826 832 914 771 163 963 370 924 003 168 945 863
// 606 064 584 592 512 699 465 572 483 918 656 420 975 268 508 230 754 425 459 937
// 691 704 197 778 008 536 273 094 171 016 343 490 769 642 372 229 435 236 612 557
// 250 881 477 922 315 197 477 806 056 967 253 801 718 077 636 034 624 592 787 784
// 658 506 560 507 808 442 115 296 975 218 908 740 196 609 066 518 035 165 017 925
// 046 195 013 665 854 366 327 125 496 399 085 491 442 000 145 747 608 193 022 120
// 660 243 300 964 127 048 943 903 971 771 951 806 990 869 986 066 365 832 322 787
// 093 765 022 601 492 910 115 171 776 359 446 020 232 493 002 804 018 677 239 102
// 880 978 666 056 511 832 600 436 885 088 171 572 386 698 422 422 010 249 505 518
// 816 948 032 210 025 154 264 946 398 128 736 776 589 276 881 635 983 124 778 865
// 201 411 741 109 136 011 649 950 766 290 779 436 460 058 519 419 985 601 626 479
// 076 153 210 387 275 571 269 925 182 756 879 893 027 617 611 461 625 493 564 959
// 037 980 458 381 823 233 686 120 162 437 365 698 467 037 858 533 052 758 333 379
// 399 075 216 606 923 805 336 988 795 651 372 855 938 834 998 947 074 161 815 501
// 253 970 646 481 719 467 083 481 972 144 888 987 906 765 037 959 036 696 724 949
// 925 452 790 337 296 361 626 589 760 394 985 767 413 973 594 410 237 443 297 093
// 554 779 826 296 145 914 429 364 514 286 171 585 873 397 467 918 975 712 119 561
// 873 857 836 447 584 484 235 555 810 500 256 114 923 915 188 930 994 634 284 139
// 360 803 830 916 628 188 115 037 152 849 670 597 416 256 282 360 921 680 751 501
// 777 253 874 025 642 534 708 790 891 372 917 228 286 115 159 156 837 252 416 307
// 722 544 063 378 759 310 598 267 609 442 032 619 242 853 170 187 817 729 602 354
// 130 606 721 360 460 003 896 610 936 470 951 414 171 857 770 141 806 064 436 368
// 154 644 400 533 160 877 831 431 744 408 119 494 229 755 993 140 118 886 833 148
// 328 027 065 538 330 046 932 901 157 441 475 631 399 972 217 038 046 170 928 945
// 790 962 716 622 607 407 187 499 753 592 127 560 844 147 378 233 032 703 301 682
// 371 936 480 021 732 857 349 359 475 643 341 299 430 248 502 357 322 145 978 432
// 826 414 216 848 787 216 733 670 106 150 942 434 569 844 018 733 128 101 079 451
// 272 237 378 861 260 581 656 680 537 143 961 278 887 325 273 738 903 928 905 068
// 653 241 380 627 960 259 303 877 276 977 837 928 684 093 253 658 807 339 884 572
// 187 460 210 053 114 833 513 238 500 478 271 693 762 180 049 047 955 979 592 905
// 916 554 705 057 775 143 081 751 126 989 851 884 087 185 640 260 353 055 837 378
// 324 229 241 856 256 442 550 226 721 559 802 740 126 179 719 280 471 396 006 891
// 638 286 652 770 097 527 670 697 770 364 392 602 243 728 418 408 832 518 487 704
// 726 384 403 795 301 669 054 659 374 616 193 238 403 638 931 313 643 271 376 888
// 410 268 112 198 912 752 230 562 567 562 547 017 250 863 497 653 672 886 059 667
// 527 408 686 274 079 128 565 769 963 137 897 530 346 606 166 698 042 182 677 245
// 605 306 607 738 996 242 183 408 598 820 718 646 826 232 150 802 882 863 597 468
// 396 543 588 566 855 037 731 312 965 879 758 105 012 149 162 076 567 699 506 597
// 153 447 634 703 208 532 156 036 748 286 083 786 568 030 730 626 576 334 697 742
// 956 346 437 167 093 971 930 608 769 634 953 288 468 336 130 388 294 310 408 002
// 968 738 691 170 666 661 468 000 151 211 434 422 560 238 744 743 252 507 693 870
// 777 751 932 999 421 372 772 112 588 436 087 158 348 356 269 616 619 805 725 266
// 122 067 975 406 210 620 806 498 829 184 543 953 015 299 820 925 030 054 982 570
// 433 905 535 701 686 531 205 264 956 148 572 492 573 862 069 174 036 952 135 337
// 325 316 663 454 665 885 972 866 594 511 364 413 703 313 936 721 185 695 539 521
// 084 584 072 443 238 355 860 631 068 069 649 248 512 326 326 995 146 035 960 372
// 972 531 983 684 233 639 046 321 367 101 161 928 217 111 502 828 016 044 880 588
// 023 820 319 814 930 963 695 967 358 327 420 249 882 456 849 412 738 605 664 913
// 525 267 060 462 344 505 492 275 811 517 093 149 218 795 927 180 019 409 688 669
// 868 370 373 022 004 753 143 381 810 927 080 300 172 059 355 305 207 007 060 722
// 339 994 639 905 713 115 870 996 357 773 590 271 962 850 611 465 148 375 262 095
// 653 467 132 900 259 943 976 631 145 459 026 858 989 791 158 370 934 193 704 411
// 551 219 201 171 648 805 669 459 381 311 838 437 656 206 278 463 104 903 462 939
// 500 294 583 411 648 241 149 697 583 260 118 007 316 994 373 935 069 662 957 124
// 102 732 391 387 417 549 230 718 624 545 432 220 395 527 352 952 402 459 038 057
// 445 028 922 468 862 853 365 422 138 157 221 311 632 881 120 521 464 898 051 800
// 920 247 193 917 105 553 901 139 433 166 815 158 288 436 876 069 611 025 051 710
// 073 927 623 855 533 862 725 535 388 309 606 716 446 623 709 226 468 096 712 540
// 618 695 021 431 762 116 681 400 975 952 814 939 072 226 011 126 811 531 083 873
// 176 173 232 352 636 058 381 731 510 345 957 365 382 235 349 929 358 228 368 510
// 078 108 846 343 499 835 184 044 517 042 701 893 819 942 434 100 905 753 762 577
// 675 711 180 900 881 641 833 192 019 626 234 162 881 665 213 747 173 254 777 277
// 834 887 743 665 188 287 521 566 857 195 063 719 365 653 903 894 493 664 217 640
// 031 215 278 702 223 664 636 357 555 035 655 769 488 865 495 002 708 539 236 171
// 055 021 311 474 137 441 061 344 455 441 921 013 361 729 962 856 948 991 933 691
// 847 294 785 807 291 560 885 103 967 819 594 298 331 864 807 560 836 795 514 966
// 364 489 655 929 481 878 517 840 387 733 262 470 519 450 504 198 477 420 141 839
// 477 312 028 158 868 457 072 905 440 575 106 012 852 580 565 947 030 468 363 445
// 926 525 521 370 080 687 520 095 934 536 073 162 261 187 281 739 280 746 230 946
// 853 678 231 060 979 215 993 600 199 462 379 934 342 106 878 134 973 469 592 464
// 697 525 062 469 586 169 091 785 739 765 951 993 929 939 955 675 427 146 549 104
// 568 607 020 990 126 068 187 049 841 780 791 739 240 719 459 963 230 602 547 079
// 017 745 275 131 868 099 822 847 308 607 665 368 668 555 164 677 029 113 368 275
// 631 072 233 467 261 137 054 907 953 658 345 386 371 962 358 563 126 183 871 567
// 741 187 385 277 229 225 947 433 737 856 955 384 562 468 010 139 057 278 710 165
// 129 666 367 644 518 724 656 537 304 024 436 841 408 144 887 329 578 473 484 900
// 030 194 778 880 204 603 246 608 428 753 518 483 649 591 950 828 883 232 065 221
// 281 041 904 480 472 479 492 913 422 849 519 700 226 013 104 300 624 107 179 715
// 027 934 332 634 079 959 605 314 460 532 304 885 289 729 176 598 760 166 678 119
// 379 323 724 538 572 096 075 822 771 784 833 616 135 826 128 962 261 181 294 559
// 274 627 671 377 944 875 867 536 575 448 614 076 119 311 259 585 126 557 597 345
// 730 153 336 426 307 679 854 433 857 617 153 334 623 252 705 720 053 039 882 894
// 990 342 595 662 329 757 824 887 350 292 591 668 258 944 568 946 559 926 584 547
// 626 945 287 805 165 017 206 747 854 178 879 822 768 065 366 506 419 109 734 345
// 288 783 386 217 261 562 695 826 544 782 056 729 877 564 263 253 215 942 944 180
// 399 432 170 000 905 426 507 630 955 884 658 951 717 091 476 074 371 368 933 194
// 690 909 819 045 012 903 070 995 662 266 203 031 826 493 657 336 984 195 557 769
// 637 876 249 188 528 656 866 076 005 660 256 054 457 113 372 868 402 055 744 160
// 308 370 523 122 425 872 234 388 541 231 794 813 885 500 756 893 811 249 353 863
// 186 352 870 837 998 456 926 199 817 945 233 640 874 295 911 807 474 534 195 514
// 203 517 261 842 008 455 091 708 456 823 682 008 977 394 558 426 792 142 734 775
// 608 796 442 792 027 083 121 501 564 063 413 416 171 664 480 698 154 837 644 915
// 739 001 212 170 415 478 725 919 989 438 253 649 505 147 713 793 991 472 052 195
// 290 793 961 376 211 072 384 942 906 163 576 045 962 312 535 060 685 376 514 231
// 153 496 656 837 151 166 042 207 963 944 666 211 632 551 577 290 709 784 731 562
// 782 775 987 881 364 919 512 574 833 287 937 715 714 590 910 648 416 426 783 099
// 497 236 744 201 758 622 694 021 594 079 244 805 412 553 604 313 179 926 967 391
// 575 424 192 966 073 123 937 635 421 392 306 178 767 539 587 114 361 040 894 099
// 660 894 714 183 406 983 629 936 753 626 215 452 472 984 642 137 528 910 798 843
// 813 060 955 526 227 208 375 186 298 370 667 872 244 301 957 937 937 860 721 072
// 542 772 890 717 328 548 743 743 557 819 665 117 166 183 308 811 291 202 452 040
// 486 822 000 723 440 350 254 482 028 342 541 878 846 536 025 915 064 452 716 577
// 000 445 210 977 355 858 976 226 554 849 416 217 149 895 323 834 216 001 140 629
// 507 184 904 277 892 585 527 430 352 213 968 356 790 180 764 060 421 383 073 087
// 744 601 708 426 882 722 611 771 808 426 643 336 517 800 021 719 034 492 342 642
// 662 922 614 560 043 373 838 683 355 553 434 530 042 648 184 739 892 156 270 860
// 956 506 293 404 052 649 432 442 614 456 659 212 912 256 488 935 696 550 091 543
// 064 261 342 526 684 725 949 143 142 393 988 454 324 863 274 618 428 466 559 853
// 323 122 104 662 598 901 417 121 034 460 842 716 166 190 012 571 958 707 932 175
// 696 985 440 133 976 220 967 494 541 854 071 184 464 339 469 901 626 983 516 078
// 489 245 140 589 409 463 952 678 073 545 797 003 070 511 636 825 194 877 011 897
// 640 028 276 484 141 605 872 061 841 852 971 891 540 196 882 532 893 091 496 653
// 457 535 714 273 184 820 163 846 448 324 990 378 860 690 080 727 093 276 731 275
// 819 665 639 411 489 617 168 329 804 551 397 295 066 876 047 409 154 204 284 299
// 935 410 258 291 135 022 416 907 694 316 685 742 425 225 090 269 390 348 148 564
// 513 030 699 251 995 904 363 840 284 292 674 125 734 224 477 655 841 778 861 717
// 372 654 620 854 982 944 989 467 873 509 295 816 526 320 722 589 923 687 684 570
// 178 230 380 965 678 831 122 893 058 091 405 726 108 658 848 458 731 016 581 511
// 675 333 276 748 870 148 291 674 197 015 125 597 825 727 074 064 318 086 014 281
// 490 241 467 804 723 275 976 842 696 339 357 735 429 301 867 394 397 163 886 117
// 642 090 040 686 633 988 568 416 810 038 723 892 144 831 760 701 166 845 038 872
// 123 643 670 433 140 911 557 332 801 829 779 887 365 909 166 596 124 020 217 785
// 588 548 761 761 619 893 707 943 800 566 633 648 843 650 891 448 055 710 397 652
// 146 960 276 625 835 990 519 870 423 001 794 655 367 9
// 10000 digits, 3334 kigits, 4168 bytes
static const byte decimal_e[4168] =
{
0x43, 0xF3, 0xC2, 0xDB, 0x4D, 0xE2, 0x20, 0xB8, 0x60, 0x1C, 0xBA, 0xC8, 0x74, 0x28, 0xF9, 0xC1,
0xED, 0x4B, 0x15, 0x71, 0xF8, 0xFB, 0xD7, 0xC2, 0xB8, 0xBE, 0xB0, 0x46, 0x5E, 0x97, 0x08, 0xD6,
0x2B, 0xDD, 0xC9, 0x22, 0x8D, 0x9D, 0x52, 0x04, 0xA0, 0xAE, 0x6B, 0xAA, 0x7F, 0x30, 0x4C, 0x84,
0xC7, 0xE0, 0x2D, 0x6E, 0x55, 0x9E, 0x96, 0xE2, 0x16, 0x54, 0x88, 0x21, 0x6B, 0x60, 0xE0, 0xEE,
0x33, 0x12, 0x72, 0xD3, 0xA3, 0x5E, 0xC6, 0x95, 0xD1, 0x31, 0x43, 0x5F, 0xBD, 0xC1, 0x2D, 0x3F,
0x83, 0x46, 0x5E, 0x14, 0x9D, 0x5F, 0xDA, 0x2C, 0x64, 0x46, 0x35, 0xD9, 0x8E, 0x4B, 0xE1, 0x7A,
0x1A, 0x0B, 0xBB, 0x9C, 0x77, 0x09, 0x21, 0x0B, 0x28, 0x38, 0x9E, 0x00, 0x43, 0x4F, 0xB9, 0x4B,
0x95, 0xD8, 0xEA, 0x88, 0x0F, 0x3B, 0x1A, 0xF1, 0xE2, 0xF0, 0x67, 0xCC, 0xCE, 0xEE, 0xCA, 0xA4,
0x50, 0xB7, 0xD7, 0x27, 0x22, 0x14, 0x8A, 0x72, 0x92, 0xC1, 0x2C, 0xCC, 0x7B, 0x57, 0xEA, 0x40,
0x1D, 0xBE, 0x2A, 0x1B, 0x1D, 0x40, 0x11, 0xBA, 0x4D, 0x9B, 0x90, 0xBA, 0x17, 0x6B, 0x02, 0xD3,
0x11, 0x6B, 0x9B, 0x43, 0xA3, 0x03, 0x8A, 0x94, 0x6E, 0xA9, 0xE1, 0xA2, 0x77, 0xFB, 0x61, 0xBA,
0x97, 0x93, 0x4C, 0x7D, 0x3B, 0xBD, 0x26, 0xE9, 0xF9, 0xAD, 0xD7, 0x1A, 0x94, 0x4E, 0x88, 0x3E,
0x4F, 0x93, 0x1A, 0xAB, 0x9B, 0xD7, 0xAA, 0x56, 0xC6, 0x4A, 0x3A, 0xC3, 0x9B, 0x02, 0x76, 0xF4,
0xE3, 0x05, 0x9A, 0x73, 0x58, 0x79, 0xF3, 0xE6, 0xBB, 0xD9, 0xEC, 0x94, 0x37, 0x33, 0xAF, 0x76,
0x07, 0x5B, 0xB2, 0x34, 0xF8, 0xFC, 0xDD, 0xBA, 0xBD, 0x46, 0x86, 0x7F, 0xA4, 0x61, 0x77, 0x9B,
0xF5, 0xBB, 0x4D, 0xBD, 0x4C, 0x09, 0x0F, 0xAE, 0xC1, 0x37, 0xB6, 0x87, 0xBC, 0xCE, 0xC2, 0xD2,
0x66, 0x60, 0x9E, 0xBD, 0xF5, 0xEF, 0xFE, 0x90, 0x44, 0x52, 0x0E, 0xDA, 0x19, 0xE0, 0x6B, 0x61,
0x32, 0xD0, 0xE8, 0xDB, 0x8F, 0xAF, 0x57, 0xB1, 0x91, 0x61, 0x22, 0xBE, 0x9F, 0xB8, 0x08, 0x53,
0x3B, 0xD5, 0x1F, 0x46, 0x39, 0xA8, 0xBC, 0x27, 0xD3, 0x02, 0xA4, 0x23, 0x27, 0xF7, 0x8D, 0x4F,
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