QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#635199#5114. Cells ColoringDiverbeeAC ✓657ms9220kbC++143.1kb2024-10-12 19:16:092024-10-12 19:16:09

Judging History

你现在查看的是最新测评结果

  • [2024-10-12 19:16:09]
  • 评测
  • 测评结果:AC
  • 用时:657ms
  • 内存:9220kb
  • [2024-10-12 19:16:09]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;
using ll = long long;
const ll INF = 0x3f3f3f3f3f3f3f3f;
const int N = 2e5+10;

struct MF {
    struct edge {
        int v, nxt, cap, flow;
    } e[N];

    int fir[N], cnt = 0;

    int n, S, T;
    ll maxflow = 0;
    int dep[N], cur[N];

    void init(int x) {
        memset(fir, -1, sizeof fir);
        maxflow = 0;
        cnt = 0;
    }

    void addedge(int u, int v, int w) {
        e[cnt] = {v, fir[u], w, 0};
        fir[u] = cnt++;
        e[cnt] = {u, fir[v], 0, 0};
        fir[v] = cnt++;
    }

    bool bfs() {
        queue<int> q;
        memset(dep, 0, sizeof(int) * (n + 1));

        dep[S] = 1;
        q.push(S);
        while (q.size()) {
            int u = q.front();
            q.pop();
            for (int i = fir[u]; ~i; i = e[i].nxt) {
                int v = e[i].v;
                if ((!dep[v]) && (e[i].cap > e[i].flow)) {
                    dep[v] = dep[u] + 1;
                    q.push(v);
                }
            }
        }
        return dep[T];
    }

    int dfs(int u, int flow) {
        if ((u == T) || (!flow)) return flow;

        int ret = 0;
        for (int& i = cur[u]; ~i; i = e[i].nxt) {
            int v = e[i].v, d;
            if ((dep[v] == dep[u] + 1) &&
                (d = dfs(v, min(flow - ret, e[i].cap - e[i].flow)))) {
                ret += d;
                e[i].flow += d;
                e[i ^ 1].flow -= d;
                if (ret == flow) return ret;
            }
        }
        return ret;
    }

    void dinic() {
        while (bfs()) {
            memcpy(cur, fir, sizeof(int) * (n + 1));
            maxflow += dfs(S, INF);
        }
    }
} mf;

int mp[300][300];

int n, m;
ll c,d;
void dis(){
    for(int i = 1; i <=n ;++i){
        for(int j = 1; j<=m;++j){
            cout<<mp[i][j]<<' ';
        }cout<<'\n';
    }cout<<'\n';
}

int ctx[300],cty[300];

int main() {

    cin >> n >> m>>c>>d;
    ll cst = d*n*m;
    for(int i=1;i<=n;++i){
        for(int j = 1; j<=m;++j){
            char c;cin>>c;
            if(c=='*'){
                mp[i][j] = 0;
                cst -=d;
            }else{
                mp[i][j] = 1;
            }
        }
    }

    for(int i = 1; i <= n ;++i){
        for(int j = 1; j <=m;++j){
            ctx[i]+=mp[i][j];
        }
    }

    for(int j = 1 ; j<=m;++j){
        for(int i = 1; i <= n ;++i){
            cty[j] += mp[i][j];
        }
    }

    ll ans =INF;
    ans = min(ans,cst);

    for(int k =  1;  k <= max(n,m);++k){
        cst+=c;

        mf.init(1);
        mf.n = n+m+2;
        mf.S = n+m+1;
        mf.T = n+m+2;


        for(int i = 1; i<= n ;++i)
            for(int j = 1; j<=m;++j)
                if(mp[i][j])
                    mf.addedge(i,n+j,1);

        for(int i = 1; i<=n;++i)mf.addedge(mf.S,i,min(k,ctx[i]));
        for(int j = 1; j<=m;++j)mf.addedge(n+j,mf.T,min(k,cty[j]));

        mf.dinic();
        ans = min(ans,cst - mf.maxflow*d);
    }

    cout<<ans;

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 6292kb

input:

3 4 2 1
.***
*..*
**..

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 1ms
memory: 7596kb

input:

3 4 1 2
.***
*..*
**..

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 223ms
memory: 8040kb

input:

250 250 965680874 9042302
..**.*****..**..**.*****..***..***.**......*.***.*...***.*....*.**.*.**.*.*.****...*.******.***.************....**.*..*..***.*******.*.***.*..**..****.**.*.*..***.****..**.....***.....*.****...*...*.***..****..**.*.*******..*.*******.*.*.*.****.*.***
....**.*******.*.******...

output:

109972100048

result:

ok 1 number(s): "109972100048"

Test #4:

score: 0
Accepted
time: 305ms
memory: 7008kb

input:

250 250 62722280 506434
*.**.***.*.*....*....*...**.*..**..****.*.*..*.*.*..*.....**..*.*.*.*****.*.**..*.**....***..*..*.*.*.**.*..*..*.**..*...**....**..*.*.***.*****.*****.***..**.***.****....*.*.**.**.*...****....*..*.**.**********.......********...***.**..*.....**.*..*
.*..********..*...*..****...

output:

8437726048

result:

ok 1 number(s): "8437726048"

Test #5:

score: 0
Accepted
time: 599ms
memory: 9052kb

input:

250 250 85956327 344333
..*.............*...*.....*...*..........*.........*...*.......*..***......*.*........*.*........*........*..*..*.............*.*........*....*..*................***...................*..*.............*..*.....*..**..............*..*......*.....*..**
.........*......*.*.........

output:

18268031127

result:

ok 1 number(s): "18268031127"

Test #6:

score: 0
Accepted
time: 619ms
memory: 9220kb

input:

250 250 768323813 489146
...*................*...........*.................*..***..*.......*..*......*.................*...*.........*.*.*.*...*.*.*.*.*.......*........*.............*...............*..*.............*.*...*.....................**.....**.....*.*........*......
...................*.......

output:

25999088192

result:

ok 1 number(s): "25999088192"

Test #7:

score: 0
Accepted
time: 244ms
memory: 7244kb

input:

250 250 865365220 7248935
.....**.*.***...**.**...*.**.*****..****.**.**.*...*..**....*.**.*..**..*..*.****....***.***.*...*.*.*.**..****.***.*.**..*****.**..*.*.***..***.*..*.*..*......*.*******.*******.*..*.******.....**.***...*****...*...**....**.**.*...*...**.*.*****...*.
*..*.**.*...****.*.**.*...

output:

97440874100

result:

ok 1 number(s): "97440874100"

Test #8:

score: 0
Accepted
time: 85ms
memory: 8108kb

input:

153 225 485767021 308782855
.*.**.***..***..***..****.*****.***.....*.***.****.*.*......**......****.****.**.******...**...*.***.*..**.*****.****....*.*.*...**..****.**.******....*....****....**.*.*****.**.**.**.***...*.**.*.**.****.*.*....*.*****...***
*.*....*...*.*..*.*****.***.***.***.***..*.***...

output:

54405906352

result:

ok 1 number(s): "54405906352"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5860kb

input:

17 20 823772868 410753944
.....*......**......
.......*............
...............*....
......*.............
...................*
*........*.*..*.....
.....*.............*
..*..........*.*....
.......*............
...**...........**.*
....................
**......**.......*..
.*.............*....
....

output:

16062438436

result:

ok 1 number(s): "16062438436"

Test #10:

score: 0
Accepted
time: 92ms
memory: 6324kb

input:

227 129 426009970 614728889
*..****..*..*.********.*.*..***.*.*..**..*.***.**.**.***..*.***..*..*.***.*.*.**..*****.**..***.*.****.**.***.****..**.**.*.**.**
*...*****.**....****..*....*.*.**.*****.*..*****...*...**...******..****.*..**...***.*.*.*..*.*.*..*.******.*****..*.**********.*
.*.*..**..**...

output:

49843166490

result:

ok 1 number(s): "49843166490"

Test #11:

score: 0
Accepted
time: 118ms
memory: 8124kb

input:

170 219 28214303 818736602
*..*....*..*..*....**.*...*..*.**....**.*..*........*.**.....*....*.*..*..*.**.....*..***......*.....*...*........**.*.*.***...*........**..**....***...**....*.*..........**....*....**.***....*.*.*..*..***.....*.*..***.
.*.*.....**...*..*....*.*....*.*.**.........*...*..*....

output:

4514288480

result:

ok 1 number(s): "4514288480"

Test #12:

score: 0
Accepted
time: 5ms
memory: 6100kb

input:

221 2 186883458 764869506
*.
.*
**
.*
**
**
*.
.*
.*
.*
*.
.*
..
**
**
*.
..
.*
.*
**
**
*.
.*
*.
..
*.
**
.*
**
..
**
..
**
..
.*
*.
**
.*
.*
**
..
.*
**
**
**
**
.*
..
.*
.*
..
**
.*
**
.*
**
..
**
*.
**
..
.*
*.
.*
**
.*
**
..
.*
**
.*
**
**
.*
**
**
.*
**
**
..
..
.*
**
..
**
.*
*.
*.
*.
*.
*.
*...

output:

17753928510

result:

ok 1 number(s): "17753928510"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5636kb

input:

28 2 127093639 70848307
.*
.*
**
..
..
.*
**
*.
**
..
**
*.
*.
**
*.
..
.*
.*
*.
**
**
.*
**
..
*.
.*
**
**

output:

1468878336

result:

ok 1 number(s): "1468878336"

Test #14:

score: 0
Accepted
time: 3ms
memory: 6256kb

input:

142 1 465099485 99077573
*
.
.
*
*
*
*
*
.
*
.
*
.
*
.
.
.
.
*
*
*
*
*
.
*
.
.
*
*
*
.
*
.
.
.
.
.
*
*
*
*
*
*
*
*
.
*
.
*
.
.
*
*
.
*
*
*
*
.
.
*
*
.
*
*
*
*
*
*
*
.
.
.
*
*
*
*
*
*
.
*
.
*
.
*
*
*
*
.
.
.
*
*
.
*
.
.
*
.
*
.
.
.
*
.
.
*
.
.
.
.
*
.
*
.
*
*
*
*
*
*
*
.
*
*
*
*
.
*
.
.
.
.
*
.
*
*
....

output:

5845576807

result:

ok 1 number(s): "5845576807"

Test #15:

score: 0
Accepted
time: 291ms
memory: 8932kb

input:

250 250 420456041 0
...*****.....****......*.**..*..*.**.**...*.***..**.*......*.*.....**..*..**.*..***.*.****.*.**.*.....**..*.*.**....**..***......*...***..*...****.*****.*.***.**.*.*...****.***..*...*.*.**.***..*.***.*.****.*.*...**....***....*.*.**....***...*.***...
*.**...**.**...*..*..*.*.*.**...

output:

0

result:

ok 1 number(s): "0"

Test #16:

score: 0
Accepted
time: 657ms
memory: 7708kb

input:

250 250 0 577876919
.............**.*.....*.....*.*..*.......*...*.................**........*........*....*...*.......*...*........................*.......*.....*.*.*.......*........................*...............*..*.*....*.*.*..................*.....................
...*...*...................*....

output:

0

result:

ok 1 number(s): "0"

Test #17:

score: 0
Accepted
time: 10ms
memory: 8060kb

input:

250 250 708109405 398540228
**********************************************************************************************************************************************************************************************************************************************************
*********************...

output:

0

result:

ok 1 number(s): "0"

Test #18:

score: 0
Accepted
time: 623ms
memory: 8900kb

input:

250 250 1000000000 1000000
..........................................................................................................................................................................................................................................................
.........................

output:

62500000000

result:

ok 1 number(s): "62500000000"

Test #19:

score: 0
Accepted
time: 630ms
memory: 8916kb

input:

250 250 1000000000 10000000
..........................................................................................................................................................................................................................................................
........................

output:

250000000000

result:

ok 1 number(s): "250000000000"