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#697914#9527. A Brand New Geometric ProblempropaneTL 16ms5028kbC++203.8kb2024-11-01 16:22:512024-11-06 13:24:00

Judging History

你现在查看的是最新测评结果

  • [2024-11-06 13:24:00]
  • 管理员手动重测本题所有提交记录
  • 测评结果:TL
  • 用时:16ms
  • 内存:5028kb
  • [2024-11-06 09:23:59]
  • hack成功,自动添加数据
  • (/hack/1137)
  • [2024-11-04 16:57:41]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:97
  • 用时:16ms
  • 内存:5072kb
  • [2024-11-04 16:55:58]
  • hack成功,自动添加数据
  • (/hack/1106)
  • [2024-11-01 16:22:51]
  • 评测
  • 测评结果:100
  • 用时:16ms
  • 内存:5132kb
  • [2024-11-01 16:22:51]
  • 提交

answer

#include<iostream>
#include<cstring>
#include<vector>
#include<cmath>
#include<algorithm>
using namespace std;
using LL = long long;

int cnt;

int c[10005];
int id1[100005], id2[100005];

int get(LL x){
    if (x <= 100000) return id1[x];
    else return id2[10'000'000'000 / x];
}

int main(){

#ifdef LOCAL
    freopen("data.in", "r", stdin);
    freopen("data.out", "w", stdout);
#endif

    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(0);

    int n; LL S, M;
    cin >> n >> S >> M;

    vector<LL> factor;
    for(LL i = 1; i * i <= M; i++){
        if (M % i == 0){
            factor.push_back(i);
            if (i * i != M){
                factor.push_back(M / i);
            }
        }
    }

    sort(factor.begin(), factor.end(), greater<>());
    factor.pop_back();
    reverse(factor.begin(), factor.end());
    while(!factor.empty() and factor.back() > S) factor.pop_back();
    reverse(factor.begin(), factor.end());
    for(int i = 0; i < factor.size(); i++){
        LL x = factor[i];
        if (x <= 100000) id1[x] = i;
        else id2[10'000'000'000 / x] = i;
    }

    int cnt1 = 0;

    for(int i = 0; i < n; i++){
        LL x;
        cin >> x;
        if (M % x != 0) continue;
        if (x == 1) cnt1 += 1;
        else c[get(x)] += 1;
    }

    if (cnt1 > S){
        LL keep = 0;
        LL t = M, ss = 0, tot = 0;
        for(LL i = 2; i * i <= t; i++){
            if (t % i == 0){
                int v = 0;
                while(t % i == 0){
                    ss += i;
                    t /= i;
                    v += 1;
                }
                if (i <= S){
                    if (i != 2){
                        keep += min(v, c[get(i)]);
                        tot += v;
                    }
                    else{
                        int cnt2 = c[get(2)];
                        int cnt4 = (v >= 2 ? c[get(4)] : 0);
                        if (cnt2 >= v){
                            tot += v;
                            keep += v;
                        }
                        else{
                            int t = cnt2 + min(cnt4, (v - cnt2) / 2);
                            keep += t;
                            tot += t;
                            int remain = v - t;
                            tot += (remain + 1) / 2;                            
                        }
                    }
                } 
            }
        }
        if (t > 1){
            ss += t;
            tot += 1;
            if (t <= S) keep += min(1, c[get(S)]);
        }
        if (ss > S){
            cout << -1 << '\n';
            return 0;
        }
        tot -= keep;
        keep += S - ss;
        cout << n - keep + tot << '\n';
        return 0;
    }

    const LL INF = 1e18;
    LL ans = INF;

    auto dfs = [&](auto &&dfs, int u, LL val, LL sum, int num){
        if (S - sum - M / val - 35 > ans) return;
        if (val == M){
            ans = min(ans, abs(S - sum - cnt1) + num);
            return;
        }
        if (u == factor.size()) return;
        vector<LL> p1{val}, p2{sum};
        {
            while(1){
                if (M / p1.back() % factor[u] == 0 and p2.back() + factor[u] <= S){
                    p1.push_back(p1.back() * factor[u]);
                    p2.push_back(p2.back() + factor[u]);
                }
                else break;
            }
        }
        for(int i = p1.size() - 1; i >= 0; i--){
            if (i <= c[u]) dfs(dfs, u + 1, p1[i], p2[i], num - i);
            else dfs(dfs, u + 1, p1[i], p2[i], num - c[u] + (i - c[u]));
        }
    };

    dfs(dfs, 0, 1, 0, n - cnt1);
    if (ans > INF / 2) cout << -1 << '\n';
    else cout << ans << '\n';

}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3560kb

input:

2 5 6
1 2

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

3 6 5
1 2 3

output:

3

result:

ok single line: '3'

Test #3:

score: 0
Accepted
time: 16ms
memory: 4180kb

input:

2 114514 735134400
114 514

output:

20

result:

ok single line: '20'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

2 4 7
1 3

output:

-1

result:

ok single line: '-1'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

1 1 1
10000000000

output:

2

result:

ok single line: '2'

Test #6:

score: 0
Accepted
time: 1ms
memory: 4788kb

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: 1ms
memory: 3716kb

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: 1ms
memory: 4880kb

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: 1ms
memory: 3564kb

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: 7ms
memory: 4808kb

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: 2ms
memory: 3668kb

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: 1ms
memory: 3620kb

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: 1ms
memory: 4892kb

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: 1ms
memory: 4756kb

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: 6ms
memory: 5028kb

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: 1ms
memory: 3712kb

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: 1ms
memory: 3624kb

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: 2ms
memory: 3664kb

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: 1ms
memory: 4820kb

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: 1ms
memory: 4596kb

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: 6ms
memory: 4692kb

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: 1ms
memory: 3624kb

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: 1ms
memory: 3684kb

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: 3ms
memory: 3760kb

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: 1ms
memory: 3628kb

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: 1ms
memory: 4564kb

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: 1ms
memory: 4276kb

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: 0ms
memory: 4496kb

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: 0ms
memory: 3628kb

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: 1ms
memory: 3768kb

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: 3ms
memory: 3620kb

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: 4ms
memory: 3544kb

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: 3ms
memory: 3824kb

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 : Time Limit Exceeded on 10

input:

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

output:


result: