QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#425643#3276. 出题高手Hjcc0 408ms151812kbC++141.6kb2024-05-30 15:13:362024-05-30 15:13:38

Judging History

你现在查看的是最新测评结果

  • [2024-05-30 15:13:38]
  • 评测
  • 测评结果:0
  • 用时:408ms
  • 内存:151812kb
  • [2024-05-30 15:13:36]
  • 提交

answer

# include <bits/stdc++.h>
# define ll long long

using namespace std;

const int N = 5e5 + 5, K = 100;

struct Fr {
ll a, b;
}st[20][N];

ll s[N], sum[N];
int n, m;

bool operator <(Fr x, Fr y) {
  return x.a * y.b < y.a * x.b;
}

Fr clc(int l, int r) {
  // cerr << l << ' ' << r << ' ' << (sum[r] - sum[l - 1]) * (sum[r] - sum[l - 1]) << '\n';
  return (Fr){(sum[r] - sum[l - 1]) * (sum[r] - sum[l - 1]), r - l + 1};
}

void init() {
  for (int i = 1; i <= n - K + 1; i++) {
    Fr mx = {0, 1};
    for (int j = i; j < i + K; j++) {
      mx = max(mx, clc(i, j));
    }
    st[0][i] = mx;
  }
  for (int j = 1; j < 20; j++) {
    for (int i = 1; i + (1 << j) - 1 <= n; i++) {
      st[j][i] = max(st[j - 1][i], st[j - 1][i + (1 << j >> 1)]);
    }
  }
}

Fr query(int l, int r) {
  int k = 31 - __builtin_clz(r - l + 1);
  return max(st[k][l], st[k][r - (1 << k) + 1]);
}

Fr pr(int l, int r) {
  Fr res = {0, 1};
  if (r - l + 1 >= K) {
    res = query(l, r - K + 1);
  }
  for (int i = max(l, r - K + 2); i <= r; i++) {
    for (int j = i; j <= r; j++) {
      res = max(res, clc(i, j));
    }
  }
  ll g = __gcd(res.a, res.b);
  res.a /= g, res.b /= g;
  return res;
}

int main() {
# ifndef ONLINE_JUDGE
  freopen("in.txt", "r", stdin);
# endif
  ios::sync_with_stdio(0);
  cin.tie(0); cout.tie(0);
  cin >> n;
  for (int i = 1; i <= n; i++) {
    cin >> s[i], sum[i] = sum[i - 1] + s[i];
  }
  init();
  cin >> m;
  while (m--) {
    int l, r; cin >> l >> r;
    Fr ans = pr(l, r);
    cout << ans.a << ' ' << ans.b << '\n';
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 5
Accepted
time: 403ms
memory: 28188kb

input:

2000
-113 314 -664 697 211 -199 -38 -190 8 -661 910 -811 -113 942 77 433 -261 -368 129 -525 968 -608 -21 38 -562 438 -935 -228 220 333 985 -430 916 586 764 476 794 664 383 503 206 -60 380 -130 -988 -904 -996 -304 -286 31 114 119 850 -942 714 -369 -842 250 -192 -462 -727 -427 -602 126 231 718 121 559...

output:

54826875 11
14638276 7
1185921 1
81018001 24
6310144 3
12545764 5
3362000 1
23068809 8
23068809 8
12545764 5
1444908 1
5424241 3
1083603 1
2140369 1
2752281 2
3095072 1
3003289 2
4959529 2
17106496 13
4780232 1
89605156 31
8543929 4
129163225 48
5094049 2
68591524 23
8543929 4
35688676 11
3775249 1
...

result:

ok 200000 numbers

Test #2:

score: 0
Accepted
time: 402ms
memory: 28308kb

input:

2000
717 273 112 -879 -487 -164 -403 -895 391 721 223 895 -34 146 -779 -84 253 44 690 716 975 -625 844 731 204 457 -790 349 -739 610 -536 -561 721 -868 -967 68 729 878 672 -158 -395 -836 383 -634 -371 -262 -443 -123 -20 354 198 171 681 -390 -964 954 735 713 -904 -900 -522 561 -639 -86 326 -479 448 -...

output:

82773604 23
58201641 20
2289169 1
40500496 19
1849372 1
12759184 5
2896804 1
14775048 7
7636232 5
1806005 1
3179089 2
26388769 16
1638050 1
2778889 2
156275001 49
17181522 7
2289169 1
6817321 3
758912 1
40500496 19
4941729 2
8276763 5
5841889 3
3250809 2
1806005 1
2289169 1
156275001 49
9684544 5
25...

result:

ok 200000 numbers

Test #3:

score: 0
Accepted
time: 408ms
memory: 28176kb

input:

2000
-851 -108 -432 344 -251 251 529 923 363 -346 416 -296 -686 832 565 66 150 -492 70 0 -977 -275 -454 -409 -979 353 -511 -458 -403 632 250 -689 -15 773 664 -386 931 -866 436 -213 711 -961 662 -849 -286 -143 -7 -933 960 -523 135 -609 86 408 643 -147 437 411 -580 -184 735 -968 417 977 863 325 518 83...

output:

15984004 5
2520500 1
49900050 19
28451556 13
12830724 5
2975625 2
24157225 11
1733522 1
11909401 4
15864289 5
8487200 3
1733522 1
1733522 1
6993800 3
15721225 6
1937664 1
3411409 2
11377129 5
2849344 3
1594323 1
15984004 5
15864289 5
7557001 6
2050624 1
2286387 1
1733522 1
49900050 19
5320322 3
3910...

result:

ok 200000 numbers

Test #4:

score: 0
Accepted
time: 404ms
memory: 28232kb

input:

2000
269 60 -850 537 -525 -153 877 649 998 -864 -642 -77 -69 -127 537 315 -521 -922 -629 277 162 -541 659 -572 -542 -203 -997 494 364 156 276 -780 -274 94 -410 -215 -700 -840 -906 352 972 -61 824 -973 841 80 -180 634 496 -111 934 -692 328 151 297 -13 -465 380 450 -324 -367 40 318 -447 -820 -340 -107...

output:

41190724 9
1872300 1
3530641 1
12061729 7
17032129 6
7873636 3
21641104 7
100876808 37
7946761 5
10246401 4
1836025 1
12061729 7
1836025 1
2490010 1
1687500 1
7946761 5
3613801 2
14768649 5
11404129 5
7873636 3
22033636 15
10246401 4
10067929 4
1453248 1
41190724 9
9006001 5
1718658 1
5428900 3
4452...

result:

ok 200000 numbers

Test #5:

score: -5
Wrong Answer
time: 403ms
memory: 28176kb

input:

2000
599 530 -362 736 -402 -252 901 -481 318 -100 716 -726 221 -887 217 455 -516 -948 -10 -963 -373 42 -968 -949 -440 -643 -649 35 197 64 -141 -465 -975 -804 -735 -847 396 100 -131 219 543 571 -566 653 -308 725 105 668 -509 416 309 -945 260 -302 -704 -914 -648 495 -595 32 -831 -607 -104 373 -810 -12...

output:

25441936 5
2812329 1
11826721 4
35224225 11
3276726 1
74528689 18
11539609 5
24433249 12
1431432 1
17884441 6
51739249 12
2339280 1
1565001 1
2354988 1
3276726 1
1920800 1
11539609 5
21846050 11
964324 1
11548332 5
5433561 4
142324900 29
31102929 17
35224225 11
1569992 1
8720209 4
8892324 5
6165289 ...

result:

wrong answer 1st numbers differ - expected: '1154640400', found: '25441936'

Subtask #2:

score: 0
Wrong Answer

Test #6:

score: 15
Accepted
time: 28ms
memory: 69564kb

input:

100000
754 792 -680 426 425 347 481 -690 530 378 73 -907 -431 45 -530 -552 440 -890 -15 712 695 -679 -310 13 718 805 193 -291 -877 -74 -355 511 -679 -395 166 -710 -657 -19 874 26 832 507 854 -289 700 -404 472 -302 -977 8 -698 40 766 705 369 838 700 -964 552 -535 -75 -608 -181 -503 468 447 772 904 -2...

output:

466344025 67

result:

ok 2 number(s): "466344025 67"

Test #7:

score: -15
Wrong Answer
time: 24ms
memory: 65812kb

input:

100000
-387 -313 -47 -714 -74 239 8 591 541 -633 -660 981 -230 -148 -813 -802 -108 -543 -640 50 962 137 -972 -936 -975 885 793 -541 932 861 -348 885 -280 -977 -677 964 355 604 54 -977 -548 979 -516 136 437 -697 -23 -748 492 897 -538 785 617 -840 675 -978 307 -288 -493 682 678 -623 613 762 -622 -283 ...

output:

369062521 61

result:

wrong answer 1st numbers differ - expected: '2417885584', found: '369062521'

Subtask #3:

score: 0
Wrong Answer

Test #11:

score: 0
Wrong Answer
time: 122ms
memory: 151812kb

input:

500000
794 -75 -596 -322 -945 -908 -609 -164 488 626 -877 -710 140 -120 -475 -837 738 669 634 -643 -682 667 816 -785 -608 -836 -860 -932 242 70 -620 268 -121 288 209 -392 732 750 558 -480 565 327 -217 -891 767 211 -690 -66 813 -889 952 615 432 19 411 800 678 718 522 422 940 -510 -544 449 -357 640 40...

output:

131171209 17

result:

wrong answer 1st numbers differ - expected: '1878442281', found: '131171209'

Subtask #4:

score: 0
Wrong Answer

Test #16:

score: 0
Wrong Answer
time: 66ms
memory: 71276kb

input:

100000
-496 -233 354 -632 -196 177 -878 -255 -19 -636 685 -70 101 -975 -406 -988 -965 -205 563 -766 763 511 -116 -746 -129 14 106 928 -457 -257 -283 226 3 899 -359 -792 615 490 -57 986 -243 624 -239 931 -555 -821 -72 -611 -380 -397 248 -132 956 -195 -322 -231 319 -214 837 -379 -931 -301 -4 -673 280 ...

output:

131576642 21
13957947 4
67914081 16
33243858 7
10885778 3
27836176 7
50680161 11
235284921 74
106770889 25
2411809 2
2835045 1
14017536 5
134699236 43
286523329 74
28100601 11
17546888 5
23396569 6
80839443 25
4012009 3
2661336 1
42947912 11
3474284 1
61496964 19
3672245 1
6120676 3
7573504 3
148918...

result:

wrong answer 1st numbers differ - expected: '1352474176', found: '131576642'

Subtask #5:

score: 0
Time Limit Exceeded

Test #31:

score: 0
Time Limit Exceeded

input:

100000
139 -485 -497 -818 254 169 -560 22 377 -67 -243 -75 743 -788 -676 -26 -775 371 576 -303 54 733 422 800 445 687 479 -16 -288 259 783 -586 912 616 439 -416 676 -555 172 659 501 -868 337 22 -60 260 603 -982 -149 466 769 -595 -117 949 -544 904 753 20 776 175 -888 937 -792 -647 -615 59 -298 452 -6...

output:

766127041 97
3916125 1
4343056 1
23049601 8
19713600 7
62900761 15
46076944 15
6620329 2
3775805 1
7868025 4
20659592 7
66569281 16
3354050 1
48818169 10
16370116 5
44129449 10
62837329 19
10975969 2
2958400 1
6786025 2
2683044 1
3323047 1
83631025 17
10329796 3
78198649 18
7840000 3
766127041 97
65...

result: