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#686488#9527. A Brand New Geometric ProblemIllusionaryDominanceAC ✓184ms451832kbC++203.1kb2024-10-29 13:48:512024-11-06 09:25:51

Judging History

你现在查看的是测评时间为 2024-11-06 09:25:51 的历史记录

  • [2024-11-06 13:21:27]
  • 管理员手动重测本题所有提交记录
  • 测评结果:AC
  • 用时:192ms
  • 内存:451828kb
  • [2024-11-06 09:25:51]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:97
  • 用时:184ms
  • 内存:451832kb
  • [2024-11-06 09:23:59]
  • hack成功,自动添加数据
  • (/hack/1137)
  • [2024-11-04 16:57:05]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:100
  • 用时:185ms
  • 内存:451816kb
  • [2024-11-04 16:55:58]
  • hack成功,自动添加数据
  • (/hack/1106)
  • [2024-10-31 16:22:23]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:100
  • 用时:193ms
  • 内存:451872kb
  • [2024-10-31 16:14:04]
  • hack成功,自动添加数据
  • (/hack/1091)
  • [2024-10-29 13:48:53]
  • 评测
  • 测评结果:100
  • 用时:187ms
  • 内存:450000kb
  • [2024-10-29 13:48:51]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using vi = vector <int>;

const int MAX_N = 4e5 + 5;
const int INF32 = 0x3f3f3f3f;
const ll INF64 = 1e18;

int N, m, idx1[MAX_N], idx2[MAX_N], cnt[MAX_N], tot;
ll S, M, a[MAX_N], fac[MAX_N];
vi f[MAX_N], sz[MAX_N], pt[MAX_N];
bitset <MAX_N / 2> vis[1 << 13];

#define idx(i) ((i) <= m ? idx1[i] : idx2[M / (i)])

// f[i] -> f[j], object with weight w and volume v
void dp(int i, int j, int w, int v) {
    for (auto x : pt[i]) {
        int v_ = v + x;
        if (!vis[j].test(v_)) {
            vis[j].set(v_);
            pt[j].push_back(v_);
        }
        f[j][v_] = min(f[j][v_], f[i][x] + w);
    }
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    
    cin >> N >> S >> M;
    m = sqrt(M);
    for (int i = 1; i <= m; i ++) {
        if (M % i == 0) {
            idx1[i] = ++ tot;
            fac[tot] = i;
        }
    }
    for (int i = m - (1ll * m * m == M); i > 0; i --) {
        if (M % i == 0) {
            idx2[i] = ++ tot;
            fac[tot] = M / i;
        }
    }
    for (int i = 1; i <= N; i ++) {
        cin >> a[i];
        if (M % a[i] == 0) cnt[idx(a[i])] ++;
    }
    int K = N - cnt[1];
    
    for (int i = 1; i <= tot; i ++) {
        sz[i].resize(tot);
    }
    int n = 0;
    for (int &i = n = 2; i <= tot && fac[i] <= m; i ++) {
        for (int j = 1; j <= tot; j ++) {
            sz[i][j] = sz[i - 1][j];
        }
        for (int j = tot; j >= i; j --) {
            ll tmp = fac[j];
            while (tmp % fac[i] == 0) {
                tmp /= fac[i];
                sz[i][j] = max(sz[i][j], sz[i][idx(tmp)] + (int)fac[i]);
            }
        }
    }
    for (int i = 1; i <= tot; i ++) {
        f[i].resize(sz[n - 1][i] + 1);
        for (auto &x : f[i]) x = INF32;
    }
    
    f[1][0] = 0;
    pt[1].push_back(0);
    for (int i = 2; i < n; i ++) {
        for (int j = tot; j >= i; j --) {
            if (fac[j] % fac[i]) continue;
            ll tmp = fac[j]; int sum = 0;
            for (int k = 1; tmp % fac[i] == 0; k ++) {
                tmp /= fac[i]; sum += fac[i];
                dp(idx(tmp), j, k <= cnt[i] ? -k : k - (cnt[i] << 1), sum);
            }
        }
    }
    ll ans = INF64;
    for (int i = tot; i >= n; i --) {
        for (int j = sz[n - 1][idx(M / fac[i])]; j >= 0; j --) {
            ll v = j + fac[i];
            ll f_ = f[idx(M / fac[i])][j];
            if (f_ == INF32) f_ = INF64 * 2;
            ll g = f_ + (cnt[i] ? -1 : 1);
            if (v <= S) {
                ans = min(ans, K + g + abs(S - v - N + K));
            }
        }
    }
    assert(idx(M) == tot);
    for (int i = sz[n - 1][tot]; i >= 0; i --) {
        int v = i;
        ll g = f[tot][i];
        if (g == INF32) g = INF64 * 2;
        if (v <= S) {
            ans = min(ans, K + g + abs(S - v - N + K));
        }
    }
    if (ans < INF64) {
        cout << ans << endl;
    }else {
        cout << "-1\n";
    }
    
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 11840kb

input:

2 5 6
1 2

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 0ms
memory: 11776kb

input:

3 6 5
1 2 3

output:

3

result:

ok single line: '3'

Test #3:

score: 0
Accepted
time: 36ms
memory: 112548kb

input:

2 114514 735134400
114 514

output:

20

result:

ok single line: '20'

Test #4:

score: 0
Accepted
time: 3ms
memory: 11828kb

input:

2 4 7
1 3

output:

-1

result:

ok single line: '-1'

Test #5:

score: 0
Accepted
time: 0ms
memory: 9792kb

input:

1 1 1
10000000000

output:

2

result:

ok single line: '2'

Test #6:

score: 0
Accepted
time: 160ms
memory: 451832kb

input:

74 8957165874 7351344000
9175800163 691239569 9932962027 8282987306 6063151113 3298305381 1841018684 8994004390 4000639989 9095647386 497768590 9210852932 3224414074 4123284054 8317046204 6543132098 4375640220 481970575 2636681880 7380029168 3311730585 9514203281 7961640038 8857267508 2357551453 179...

output:

1605821949

result:

ok single line: '1605821949'

Test #7:

score: 0
Accepted
time: 0ms
memory: 13996kb

input:

12 7840282002 8693528284
6716869047 8912311281 3532498787 9792923097 641489369 2061952840 5276308573 8674900429 3857207130 3435568680 1795487878 1741351693

output:

3493517872

result:

ok single line: '3493517872'

Test #8:

score: 0
Accepted
time: 184ms
memory: 450020kb

input:

3378 6425529388 7351344000
2165587998 2120562002 5252091350 9721880258 1692140896 2719544612 567917797 8634606531 1331901524 6936705303 8505583423 1315696968 2476200194 6191465712 2824480554 4307460133 9171973651 9497302453 1187876818 6468969139 3500352853 4730326578 1298030025 5193458000 1044688955...

output:

2749860766

result:

ok single line: '2749860766'

Test #9:

score: 0
Accepted
time: 4ms
memory: 11852kb

input:

2744 5308645516 9608623822
3851224184 4231440603 3561326330 9716880175 62728600 6493884657 4916910713 6006161964 1698265047 7148416217 2490266505 9843394709 8268913629 3252952468 1311964587 9340371669 8936566694 1039973271 5943892725 8015460363 9097425153 3025376586 2623576720 3757783176 9445752851 ...

output:

504336349

result:

ok single line: '504336349'

Test #10:

score: 0
Accepted
time: 155ms
memory: 451768kb

input:

88346 4782180530 7351344000
3667620194 7503711838 9239451336 4395875618 7173015664 7880070515 6337710353 822637860 225610001 7068873169 874115406 9881064263 6513040923 1739138083 6618265224 6758705336 7842045926 7475245109 8888489353 1020804103 7862164687 1456215420 9644923233 852743592 879560120 82...

output:

1106596876

result:

ok single line: '1106596876'

Test #11:

score: 0
Accepted
time: 8ms
memory: 19880kb

input:

24940 2255231250 7952282922
7824308611 778609102 8235321691 902787647 928287207 6558644508 7104942042 7459678953 2980176017 4961658600 9905890696 5029978542 9521618704 3901512946 4912952894 9420509352 2619542054 8740585806 3640951881 2377272196 6973057099 1372269794 1428086504 3592654341 854391849 8...

output:

929875699

result:

ok single line: '929875699'

Test #12:

score: 0
Accepted
time: 0ms
memory: 11840kb

input:

32 102024678 9708441014
4309108293 86 1 132315932 225777698 3893155157 2 1 1 4854220507 1 1 112888849 9708441014 43 1 3438238935 6803896303 225777698 1 1 332082234 1 1 1 9322240949 1 86 86 5257843768 86 2719257541

output:

-1

result:

ok single line: '-1'

Test #13:

score: 0
Accepted
time: 168ms
memory: 449740kb

input:

74 8957165874 7351344000
99000 95040 1 1 1 8353800 107712 1113840 4086112184 120120 56160 13127400 6984070338 23760 11220 4149178931 97240 1 3131308267 7344 2669167291 1 1 1 1 1 4347657073 15315300 2972501234 79560 7202650525 7837261625 11440 7936967053 11200 235620 8766964991 11440 1 2459605851 1 5...

output:

1605821905

result:

ok single line: '1605821905'

Test #14:

score: 0
Accepted
time: 168ms
memory: 451708kb

input:

3378 6425529388 7351344000
1512 40840800 3525919453 1 1 1 72072000 2691183741 15300 149600 8788596876 2660655926 4800 1 13464 27720 6340347401 9134068166 4500 1 240240 1 8938653050 1 65520 1 171360 10210200 1 10200 3959592729 1 95472 8975677637 26254800 1 138600 5018526731 1 1663200 336600 471240 32...

output:

2749858562

result:

ok single line: '2749858562'

Test #15:

score: 0
Accepted
time: 159ms
memory: 451788kb

input:

88346 4782180530 7351344000
1 4084080 336600 1 1 51000 1 7551145220 1 18018000 707200 78540 79560 7565163529 30630600 35700 1 7100752182 840 3674834085 2079000 720720 49008960 2033275878 1 6323141754 3360 3738287109 2639093537 277200 3020317639 95756755 9567316528 785400 2200 2042040 1 3014514354 50...

output:

1106537444

result:

ok single line: '1106537444'

Test #16:

score: 0
Accepted
time: 0ms
memory: 16312kb

input:

12 7840282002 8693528284
3065419 875834 1 1 1 1 1 6130838 1 1608721 709 9432610420

output:

3493517860

result:

ok single line: '3493517860'

Test #17:

score: 0
Accepted
time: 3ms
memory: 11760kb

input:

2744 5308645516 9608623822
62728600 4916910713 1698265047 40372369 686330273 1311964587 8936566694 17 1 1 238 7869276554 6828450901 119 7204528554 1 238 3077031002 80744738 7663982006 1 3017230010 9719561197 2896495632 354382836 1 4770395400 1 1 282606583 1 1 1 1 282606583 428714251 565213166 17 266...

output:

504334361

result:

ok single line: '504334361'

Test #18:

score: 0
Accepted
time: 7ms
memory: 17844kb

input:

24940 2255231250 7952282922
1 75021537 78887 1 5029978542 1 3976141461 159 3640951881 1 3 53 634 1 3976141461 298182317 1325380487 25086066 16801 1 9102259793 1 9523629136 1325380487 50014358 1 6599612694 6888745078 53 473322 1582390485 1 7179892343 100806 159 1 157774 7308607729 7661170199 74991630...

output:

929858405

result:

ok single line: '929858405'

Test #19:

score: 0
Accepted
time: 51ms
memory: 115228kb

input:

84 8597529626 918918000
1 15300 1 24024 1 26928 1 72 7351519877 1 1 1 23100 146367267 1 1 2898672885 1 589050 1 168300 1 5678365973 20420400 1 1901171356 556920 25740 1 7293000 2098074248 8190 1093446807 204 1 7243301202 5048501007 30888 1 6930 41580 923411734 2772 3443766953 165 7457269781 630 6426...

output:

7678611651

result:

ok single line: '7678611651'

Test #20:

score: 0
Accepted
time: 43ms
memory: 115156kb

input:

4946 8392096768 918918000
1 19500 1 1 462 1 1 1 1089317876 4950 244311183 8365355748 1 1 1 8086673571 3891753630 1 1 277200 1 8805186436 486200 1540 308816488 780 15708 1 5105100 248732566 4313429395 1 2702700 18564 8190 336600 1 22440 8121568960 8489326161 8835750 570326868 1 1 150 7208246886 1 1 5...

output:

7473180361

result:

ok single line: '7473180361'

Test #21:

score: 0
Accepted
time: 44ms
memory: 117124kb

input:

95558 6735809783 918918000
1 4950 3615834619 9168228593 9452281962 4590 5469750 8376770932 1 5037636549 1 1 1540 1 2466184602 400 1 1950 17325 154440 1 340340 1 17850 107100 1 4173300697 298350 1 23100 325819026 3543301285 1 971149619 1 1192494275 1170 685415618 1 8451140191 4352222654 7328238057 1 ...

output:

5816923704

result:

ok single line: '5816923704'

Test #22:

score: 0
Accepted
time: 0ms
memory: 13960kb

input:

75 1775613050 7439333297
9128964160 223 4016264282 2299234979 2662647190 1 11 1598364790 1 5974627342 3791 1471887073 11 17 9987487775 1 223 1 39782531 5294154284 1 1 1 5537425145 8958078974 437607841 1 1 5921589413 6141512946 676303027 2627784492 3226842559 1 39782531 5461124902 7623339541 87291381...

output:

1099310037

result:

ok single line: '1099310037'

Test #23:

score: 0
Accepted
time: 0ms
memory: 25708kb

input:

1232 7275212896 7774481184
22600236 1 1 1992 242952537 1 6 1 8386319056 1 1 1 1295746864 1 544584 2017758860 8814114653 4817932380 8136143955 672356407 5918157470 4204073582 1 1992 6879426079 1 11708556 3668091448 7533412 1 7845910555 1 22600236 971810148 1 745926388 3887240592 323936716 3631917073 ...

output:

3387972710

result:

ok single line: '3387972710'

Test #24:

score: 0
Accepted
time: 2ms
memory: 13908kb

input:

45624 5618925911 5045813387
2403913 1 1 691510997 1 1 1 8232623498 5045813387 2403913 1 1 1 2403913 441825807 1 3656270650 1 2403913 2099 1 1 5135012544 2403913 2099 1 1 2099 2016622988 743730399 1 1 1 6567161508 1 2403913 5045813387 1 1 1 1 9583887005 7858714512 6592405183 4646502928 5045813387 1 2...

output:

573120109

result:

ok single line: '573120109'

Test #25:

score: 0
Accepted
time: 3ms
memory: 30460kb

input:

679 286 6461786670
1 7828015603 29591 145 1 27732990 8078467464 5020724289 1716278 924433 8342562359 9814876143 218370 1 11049 1 1656172807 1122538652 7538225099 1165 6604344851 1 63754 7088692553 67570 111410115 1 5148834 502 8848721766 2510 753 1 16960070 2513289377 9992315163 3063445375 435 1 269...

output:

-1

result:

ok single line: '-1'

Test #26:

score: 0
Accepted
time: 7ms
memory: 28400kb

input:

38 9399057342 101080980
1 36465 6930 1 4636338922 1 9200432985 20790 23562 1 1 1580919505 765765 29172 2748105226 9438 1 1 4451002952 999030403 102102 858 1 3461248492 8805972060 1 1 28314 1 100980 172788 51051 1342119215 2329124781 518364 1 1 1

output:

9297976373

result:

ok single line: '9297976373'

Test #27:

score: 0
Accepted
time: 3ms
memory: 28396kb

input:

1603 9193624484 101080980
328185 417690 726124833 117810 297297 2566605835 1 1386 955334292 1326 962676 7189625666 756 363 6117085251 5444083697 7854 1 1 1 2620407373 8950825965 2720104258 13 6866863890 1 2447684857 476 2167405855 1 1 1 1896241091 1 1 121 4656019942 1989 1 1260 154 8793567341 707174...

output:

9092544004

result:

ok single line: '9092544004'

Test #28:

score: 0
Accepted
time: 18ms
memory: 28248kb

input:

94920 3242370203 101080980
1 1 330 1 9093508780 1 1076800521 9984705890 3388 494568437 7507109677 1169260988 1 70 1 19890 1 2406690 10010 90 2002 1 1 7615168690 4000512259 990990 5610 765 14 7632812362 5418944582 5979159241 38115 841140032 1110780 78 1 6930 3786715382 1 4209002616 459459 16830 37437...

output:

3141321160

result:

ok single line: '3141321160'

Test #29:

score: 0
Accepted
time: 3ms
memory: 11732kb

input:

64 8282173470 3621855807
2758168240 1 3416147106 3621855807 1 1 5756209356 2268570381 3 1 1 1 1 7968075164 4385234975 1 1 1 4162123409 2018972660 3621855807 1 1 1 1 3621855807 1 3 3843848464 6108467544 1 9699708245 1 3621855807 9 1207285269 9531199702 1 1207285269 9 402428423 402428423 1207285269 1 ...

output:

4660317674

result:

ok single line: '4660317674'

Test #30:

score: 0
Accepted
time: 3ms
memory: 11964kb

input:

513 2371707908 5400401407
323 17 8811654968 9085802782 10013 2025596583 589 5840496191 1 174206497 1 608919903 1 1 1 139526579 284231653 1 31 1 1 19 539339 6971648200 31 5400401407 539339 1 9500320877 1 1 5400401407 5400401407 5828480219 284231653 2258595301 539339 5003356937 9182274892 3325523750 1...

output:

2054037389

result:

ok single line: '2054037389'

Test #31:

score: 0
Accepted
time: 6ms
memory: 11916kb

input:

49904 6420453627 5666254455
5 5285303947 1 3 1 1 1 6939737469 1 4676095330 5591908030 5 5144580569 518282749 1 1 7718603279 5268109804 2749488733 5265886093 1 5 377750297 6157446831 3 5666254455 8742922099 1 3626738482 3894290480 1 5 377750297 5665585541 1 8892995365 6735747355 5 1 1 1 1 5 566625445...

output:

754211841

result:

ok single line: '754211841'

Test #32:

score: 0
Accepted
time: 3ms
memory: 14460kb

input:

54586 697 8529497259
4685675008 1 309 3174357 1 2843165753 309 1 309 30819 1 103 9211987715 1 2933227528 10273 3 318601173 4883663348 1058119 82810653 1 1 9040437984 384732208 868545170 5040071081 8095649132 1 1 82810653 8526795160 5293869690 1 1 3596931381 30819 393489706 8529497259 5521778806 3 78...

output:

-1

result:

ok single line: '-1'

Test #33:

score: 0
Accepted
time: 15ms
memory: 40392kb

input:

100000 10000000000 10000000000
9999999992 9999999990 9999999997 9999999993 9999999991 10000000000 9999999994 9999999992 9999999995 9999999996 9999999993 9999999998 9999999998 10000000000 9999999991 9999999994 9999999991 9999999991 9999999999 9999999998 9999999994 9999999995 9999999996 9999999992 999...

output:

99999

result:

ok single line: '99999'

Extra Test:

score: -3
Extra Test Failed : Wrong Answer on 11
time: 160ms
memory: 418648kb

input:

100000 10000 9340531200
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

90077

result:

wrong answer 1st lines differ - expected: '90072', found: '90077'