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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#397115#8017. 计算zqs50 94ms95632kbC++141.6kb2024-04-23 16:57:572024-04-23 16:57:57

Judging History

你现在查看的是最新测评结果

  • [2024-04-23 16:57:57]
  • 评测
  • 测评结果:50
  • 用时:94ms
  • 内存:95632kb
  • [2024-04-23 16:57:57]
  • 提交

answer

#include <cstdio>
#define int long long

const int mod = 998244353;
inline int qpow(int a, int b) {
    int res = 1;
    while (b) {
        if (b & 1) res = 1ll * res * a % mod;
        a = 1ll * a * a % mod, b >>= 1;
    }
    return res;
}
bool mark[10000005];
int pri[1000005], phi[10000005], facs[100005], cnt;
void init(int n) {
    phi[1] = 1;
    for (int i = 2; i <= n; ++ i) {
        if (!mark[i]) phi[i] = i - 1, pri[++ cnt] = i;
        for (int j = 1; j <= cnt && i * pri[j] <= n; ++ j) {
            mark[i * pri[j]] = true;
            if (i % pri[j] == 0) {phi[i * pri[j]] = phi[i] * pri[j]; break;}
            phi[i * pri[j]] = phi[i] * (pri[j] - 1);
        }
}
    }
int gcd(int n, int m) {return m ? gcd(m, n % m) : n;}
int F(int m, int a, int b) {
    if (!a || !b) return 0;
    int g = gcd(a, b), s = 1;
    while (g --) s *= m;
    return s + 1;
}

signed main() {
    init(10000000);
    int _; scanf("%lld", &_);
    while (_ --) {
        int m, A, B, C, D; scanf("%lld%lld%lld%lld%lld", &m, &A, &B, &C, &D);
        int n = (F(m, C, D) - F(m, A, B)) / m, ans = 0, len = 2;
        facs[1] = 1, facs[2] = m;
        for (int i = 1; pri[i] * pri[i] <= m && pri[i] < m; ++ i) if (m % pri[i] == 0) {
            facs[++ len] = pri[i];
            if (pri[i] * pri[i] != m) facs[++ len] = m / pri[i];
        }
        for (int i = 1; i <= len; ++ i) {
            int g = facs[i];
            if ((m / g) & 1)
                ans = (ans + phi[m / g] * qpow(2, n * g)) % mod;
        }
        ans = 1ll * ans * qpow(m, mod - 2) % mod;
        printf("%lld\n", ans);
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 74ms
memory: 94632kb

input:

1
2 0 0 1 1

output:

2

result:

ok 1 number(s): "2"

Test #2:

score: 0
Wrong Answer
time: 91ms
memory: 95132kb

input:

10000
9026580 948 269 622 88
9346507 381 242 826 606
9266080 948 589 28 666
8566088 808 523 402 338
9832014 278 123 146 1000
8000150 613 878 146 740
8296526 404 147 608 398
9062880 494 203 336 382
9375271 823 736 54 676
8465119 505 414 874 772
9535971 784 983 426 802
8258325 817 977 172 862
9656017 ...

output:

408149662
36583482
153335282
445688430
930829931
110736601
450526657
334289701
490053994
581848778
671354638
100297809
45664586
74480448
965595837
967967312
789009263
348149133
697301389
655391150
109527027
780352430
60053806
179961669
729357055
979491240
549011737
584421437
568399251
804543195
2185...

result:

wrong answer 1st numbers differ - expected: '731703617', found: '408149662'

Test #3:

score: 0
Wrong Answer
time: 90ms
memory: 94836kb

input:

10000
9060194 192 71 24 178
8861291 135 338 24 794
8800613 173 760 704 362
9878509 367 418 58 964
8183946 856 951 406 316
8087229 458 105 770 342
8269502 205 147 614 334
8877019 851 143 206 10
9044859 710 949 210 584
8887395 571 856 550 428
8208494 383 628 74 646
9949585 697 450 794 738
9938335 224 ...

output:

345274872
647570858
305733932
883401245
790514791
753662223
302085137
139049435
731832418
931818790
750947882
605768038
6811430
715981463
443079481
44171408
657549408
280539008
629533586
141578305
268629101
318492550
307944890
566394229
599549796
635899234
406978150
606686968
138935924
373973519
866...

result:

wrong answer 1st numbers differ - expected: '255347738', found: '345274872'

Test #4:

score: 0
Wrong Answer
time: 94ms
memory: 94708kb

input:

10000
9110615 854 153 494 298
9386442 749 922 386 696
9270958 160 53 630 562
9643022 573 997 226 836
9824638 357 16 34 332
9962202 439 312 40 854
8974913 815 436 710 876
9362731 411 272 998 760
9814831 220 961 962 274
9310979 19 890 782 588
9425378 897 14 212 870
9572172 430 419 334 166
9101141 565 ...

output:

556751174
463166750
498677033
281292381
44385707
878388778
313591644
196416371
988622113
718615934
517406950
680751890
51331898
942407729
162081029
389090610
375800761
211338418
401623233
619925336
795259277
79663612
827744210
818704442
911590522
944268190
599054721
376874051
177285514
32551253
5577...

result:

wrong answer 2nd numbers differ - expected: '199156261', found: '463166750'

Test #5:

score: 5
Accepted
time: 73ms
memory: 95032kb

input:

4
3 4 5 6 1
2 6 1 8 10
4 1 4 2 2
5 0 10 2 10

output:

1
2
1024
6710912

result:

ok 4 number(s): "1 2 1024 6710912"

Test #6:

score: 5
Accepted
time: 70ms
memory: 95444kb

input:

5
18 10 9 4 6
14 7 4 4 6
18 6 5 8 2
12 5 2 4 10
11 5 6 2 6

output:

8581218
487933114
8581218
919504178
296665006

result:

ok 5 number(s): "8581218 487933114 8581218 919504178 296665006"

Test #7:

score: 5
Accepted
time: 76ms
memory: 95632kb

input:

5
11 9 5 3 3
12 8 9 9 6
10 10 7 3 9
10 5 4 3 6
6 9 6 4 8

output:

336307822
997249957
706112470
706112470
856358531

result:

ok 5 number(s): "336307822 997249957 706112470 706112470 856358531"

Test #8:

score: 5
Accepted
time: 75ms
memory: 95360kb

input:

5
4 5 6 5 10
12 8 5 9 3
10 4 9 9 3
10 5 6 6 3
6 5 7 4 8

output:

336848941
997249957
706112470
706112470
811628181

result:

ok 5 number(s): "336848941 997249957 706112470 706112470 811628181"

Test #9:

score: 5
Accepted
time: 71ms
memory: 94684kb

input:

5
11 80 29 27 84
11 31 27 87 6
4 46 54 95 80
6 45 62 88 92
12 70 34 3 75

output:

336307822
336307822
488237375
811628181
306984283

result:

ok 5 number(s): "336307822 336307822 488237375 811628181 306984283"

Test #10:

score: 5
Accepted
time: 67ms
memory: 94636kb

input:

5
58 91 37 75 5
62 99 67 10 75
55 51 92 70 85
55 86 16 50 85
29 54 95 36 78

output:

413751362
582959663
739853128
394067700
460843296

result:

ok 5 number(s): "413751362 582959663 739853128 394067700 460843296"

Test #11:

score: 5
Accepted
time: 67ms
memory: 94632kb

input:

5
10 57 94 99 18
19 97 77 63 98
62 44 4 90 35
61 3 54 25 60
62 57 65 95 70

output:

329246322
961491285
986208581
755475251
582959663

result:

ok 5 number(s): "329246322 961491285 986208581 755475251 582959663"

Test #12:

score: 5
Accepted
time: 67ms
memory: 94704kb

input:

5
5 0 0 9 5
4 0 0 1 5
2 0 0 7 5
3 0 0 3 7
3 0 0 9 5

output:

8
4
2
4
4

result:

ok 5 number(s): "8 4 2 4 4"

Test #13:

score: 0
Wrong Answer
time: 77ms
memory: 95040kb

input:

5
1931 633 387 65 265
1334 942 887 115 455
1547 511 57 65 920
1815 983 313 575 430
1497 749 773 25 740

output:

825344814
187842409
805026391
713969337
659754483

result:

wrong answer 4th numbers differ - expected: '353977868', found: '713969337'

Test #14:

score: 0
Wrong Answer
time: 64ms
memory: 94724kb

input:

5
1676 347 892 10 545
1552 901 243 595 705
1585 181 32 900 215
1043 147 153 250 195
1343 519 863 610 345

output:

394998588
400924401
790296076
147846588
746361195

result:

wrong answer 1st numbers differ - expected: '733422553', found: '394998588'

Test #15:

score: 0
Wrong Answer
time: 75ms
memory: 95352kb

input:

5
1507 98 480 995 565
1130 476 464 710 925
1556 518 459 65 445
1153 277 530 485 860
1329 191 777 315 905

output:

919146531
406192444
194144309
293028836
782651767

result:

wrong answer 2nd numbers differ - expected: '401833612', found: '406192444'

Test #16:

score: 0
Wrong Answer
time: 80ms
memory: 94700kb

input:

5
1260 985 161 855 395
1919 286 557 10 155
1439 586 749 915 730
1297 750 832 245 855
1693 134 289 355 200

output:

865974927
7239581
141714492
897734272
587745788

result:

wrong answer 1st numbers differ - expected: '396457042', found: '865974927'

Test #17:

score: 5
Accepted
time: 76ms
memory: 94704kb

input:

5
95803 976 729 633 237
99669 606 7 489 816
80026 339 914 753 933
97238 844 430 666 537
70169 394 204 411 738

output:

263714877
43312442
266698135
743766563
112072777

result:

ok 5 number(s): "263714877 43312442 266698135 743766563 112072777"

Test #18:

score: 0
Wrong Answer
time: 67ms
memory: 95152kb

input:

5
86711 965 851 300 273
97658 466 416 633 603
89583 407 591 411 3
84126 987 514 822 837
79996 9 166 807 15

output:

625186250
879983462
90804716
261667146
111726485

result:

wrong answer 2nd numbers differ - expected: '867386840', found: '879983462'

Test #19:

score: 0
Wrong Answer
time: 69ms
memory: 94692kb

input:

5
90325 2 48 195 528
83446 123 809 897 60
92466 526 768 441 447
95582 319 251 843 447
95424 374 218 162 597

output:

791697605
203097311
365118887
608891613
238642105

result:

wrong answer 1st numbers differ - expected: '962318822', found: '791697605'

Test #20:

score: 0
Wrong Answer
time: 67ms
memory: 94640kb

input:

5
80746 952 565 615 192
71949 878 950 357 789
99398 301 646 942 699
94853 670 947 141 276
82409 554 873 375 213

output:

319234278
20041007
318998750
701166665
386862478

result:

wrong answer 1st numbers differ - expected: '896071730', found: '319234278'