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#757211#9527. A Brand New Geometric ProblemqlwpcAC ✓514ms133832kbC++144.4kb2024-11-17 02:16:262024-11-17 02:16:26

Judging History

你现在查看的是最新测评结果

  • [2024-11-17 02:16:26]
  • 评测
  • 测评结果:AC
  • 用时:514ms
  • 内存:133832kb
  • [2024-11-17 02:16:26]
  • 提交

answer

#include<cstdio>
#include<vector>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<cmath>
const int N = 110000;
const int mod = 998244353;
const int lgM = 25;
using ll = long long;
const ll INF = 0x3f3f3f3f3f3f3f3f;
ll read(){
    ll x=0,flag=1;char c;
    while((c=getchar())<'0' || c>'9') if(c=='-') flag=-1;
    while(c>='0' && c<='9') x=(x<<3)+(x<<1)+(c^48),c=getchar();
    return x*flag;
}
ll divor[N],a[N];int dcnt[N],sufd[N];
const int BB = 201;
const int BM = 2550;
ll dp[BB*lgM][BM];
std::pair<int,int> lst[BB*lgM][BM];
std::vector<std::pair<int,int> > nxtD[BM];
int trs[BM][BM];
ll ans=INF;int cd=0;ll S,M;
inline ll myabs(ll a) {return a<0?-a:a;}
void dfs(int i, int jj, int curcnt, ll curS, ll curM, ll curans){
    if (curS>S || curM<M&&(1.0*curM*divor[jj]>M+1e-6) ) return;
    if (i==cd||curM==M)
    {
        if (curM!=M) return;
        curans += myabs((S-curS) - dcnt[1]);
        ans=std::min(ans,curans);
        return;
    }
    ll D=divor[jj];
    // if (curM==M)
    // {
    //     curans += myabs((S-curS) - dcnt[1]);
    //     if (ans==-1) ans=curans;
    //     else ans=std::min(ans, curans);
    //     return;
    // }
    if (curS+D>S&&curM!=M) return;
    for (auto &[to, j] : nxtD[i])
    {
        if (j<jj) break;
        int nxtcnt = (j==jj?curcnt:0) + 1;
        dfs(to, j, nxtcnt, curS+divor[j], divor[to], curans + (nxtcnt<=dcnt[j]?-1:1));
    }
}
void print_ans(ll S,ll M)
{
    if (M==1) return;
    print_ans(lst[S][M].first, lst[S][M].second);
    printf("%lld ", S - lst[S][M].first);
}
int main()
{
    int n=read(),m=0;S=read();M=read();
    ll extra=0;
    //dcnt[1]=100000;
    for (int i=1;i<=n;++i)
    {
        ll x=read();
        if (M%x || x>S) ++extra;
        else a[++m]=x;
    }
    double t=clock();
    ll SN = sqrt(M);
    for (ll i=1;i<=SN;++i)
        if (M%i==0)
        {
            divor[++cd]=i;
            if (i*i!=M) divor[++cd]=M/i;
        }
    std::sort(divor+1,divor+1+cd);
    //for (int i=1;i<=cd;++i) printf("%lld ",divor[i]);
    std::sort(a+1,a+1+m);
    for (int i=1,R=1;i<=cd;++i)
        while(R<=m&&a[R]==divor[i])
            ++dcnt[i], ++R;
    for (int i=cd;i;--i) sufd[i]=sufd[i+1]+dcnt[i];
    memset(dp,0x3f,sizeof(dp));
    int mxp=1;
    int B=M<=BB-1?(int)M:BB-1;
    for (int i=1;i<=cd;++i)
        for (int j=cd;j>1;--j)
        {
            ll D = divor[i]*divor[j];
            int idx = std::lower_bound(divor+1,divor+1+cd,D) - divor;
            if (idx<=cd&&divor[idx]==D&&D/divor[i]==divor[j]) 
            {
                trs[i][j]=idx;
                nxtD[i].emplace_back(idx, j);
            }else trs[i][j]=-1;
        }
    dfs(1, 0, 0, 0, 1, sufd[2]);
    if (ans!=INF) ans+=extra;
    printf("%lld\n",ans==INF?-1:ans);
    return 0;

    std::cerr<<"cd = "<< cd <<'\n';
    std::cerr<<"binary search takes " << (clock()-t)/CLOCKS_PER_SEC << "seconds\n";
    t = clock();
    dp[0][1]=sufd[2];
    //printf("sufd[2]=%lld\n",sufd[2]);
    for (int i=2,z=i&1;i<=cd&&divor[i]<=B;++i,z^=1)
    {
        ll D=divor[i];
        mxp=i;
        for (int s=B*lgM-1;s>=0;--s)
            for(int id=cd;id;--id)
            {
                ll now=dp[s][id];
                if (now==INF) continue;
                int curid=id;
                for (int j=0;curid>0;++j,curid=trs[curid][i])
                {
                    // if (now + (j<=dcnt[i]?-j:j-dcnt[i]) < dp[s+j*D][curid])
                    //     lst[s+j*D][curid] = std::make_pair(s, id);
                    dp[s+j*D][curid] = std::min(dp[s+j*D][curid], now + (j<=dcnt[i]?-j:j-dcnt[i]));
                    // if (s+j*D<=77) 
                    //     printf("dp[%d][%lld]=%lld\n",s+j*D,divor[curid], dp[s+j*D][curid] );
                }
            }
    }
    std::cerr<<"DP takes " << (clock()-t)/CLOCKS_PER_SEC << "seconds\n";
    t = clock();
    int z=mxp&1;
    // print_ans(77, cd);printf("\n");
    for (int s=0;s<=B*lgM-1;++s)
        for (int id=1;id<=cd;++id)
        {
            ll now=dp[s][id];
            if (now==INF) continue;
            //if (id==cd) printf("dp[%d][%lld]=%lld\n",s,divor[id], now);
            dfs(id, mxp+1, 0, s, divor[id], now);
        }
    if (ans!=INF) ans+=extra;
    std::cerr<< "DFS Search time " << (clock()-t)/CLOCKS_PER_SEC << '\n';
    printf("%lld\n",ans==INF?-1:ans);
    return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 8ms
memory: 108432kb

input:

2 5 6
1 2

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 4ms
memory: 112380kb

input:

3 6 5
1 2 3

output:

3

result:

ok single line: '3'

Test #3:

score: 0
Accepted
time: 94ms
memory: 123940kb

input:

2 114514 735134400
114 514

output:

20

result:

ok single line: '20'

Test #4:

score: 0
Accepted
time: 4ms
memory: 110156kb

input:

2 4 7
1 3

output:

-1

result:

ok single line: '-1'

Test #5:

score: 0
Accepted
time: 3ms
memory: 107356kb

input:

1 1 1
10000000000

output:

2

result:

ok single line: '2'

Test #6:

score: 0
Accepted
time: 514ms
memory: 130364kb

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: 4ms
memory: 107816kb

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: 496ms
memory: 132336kb

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: 3ms
memory: 107380kb

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: 504ms
memory: 133488kb

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: 4ms
memory: 106920kb

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: 14ms
memory: 108456kb

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: 496ms
memory: 132976kb

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: 514ms
memory: 133476kb

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: 490ms
memory: 133832kb

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: 3ms
memory: 110608kb

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: 0ms
memory: 108216kb

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: 108564kb

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: 68ms
memory: 124144kb

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: 68ms
memory: 123492kb

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: 79ms
memory: 124276kb

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: 4ms
memory: 108408kb

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: 3ms
memory: 108720kb

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: 4ms
memory: 108584kb

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: 110696kb

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: 8ms
memory: 114844kb

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: 11ms
memory: 115820kb

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: 12ms
memory: 115980kb

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: 108444kb

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: 7ms
memory: 110416kb

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: 108080kb

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: 8ms
memory: 108428kb

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: 12ms
memory: 109040kb

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: 0
Extra Test Passed