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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#341027#602. 最小费用最大流(随机数据)SoyTony#100 ✓939ms4384kbC++142.8kb2024-02-29 15:05:182024-02-29 15:05:19

Judging History

你现在查看的是最新测评结果

  • [2024-02-29 15:05:19]
  • 评测
  • 测评结果:100
  • 用时:939ms
  • 内存:4384kb
  • [2024-02-29 15:05:18]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int,ll> pil;
#define fir first
#define sec second
const int maxn=405;
const int maxm=15005;
const int inf=0x3f3f3f3f;
const ll llinf=0x3f3f3f3f3f3f3f3f;

int read(){
    int x=0,w=1;char c=getchar();
    while(c<'0'||c>'9'){if(c=='-')w=-1;c=getchar();}
    while(c<='9'&&c>='0'){x=(x<<3)+(x<<1)+c-'0';c=getchar();}
    return x*w;
}

int n,m;
int S,T;
struct edge{
    int to,nxt,w,c;
}e[maxm<<1];
int head[maxn],cnt;
inline void add_edge(int u,int v,int w,int c){
    e[++cnt].to=v,e[cnt].nxt=head[u],head[u]=cnt,e[cnt].w=w,e[cnt].c=c;
    e[++cnt].to=u,e[cnt].nxt=head[v],head[v]=cnt,e[cnt].w=0,e[cnt].c=-c;
}

bool vis[maxn];
ll h[maxn];
queue<int> Q;
void SPFA(){
    memset(vis,0,sizeof(vis));
    memset(h,0x3f,sizeof(h));
    vis[S]=true,h[S]=0;
    Q.push(S);
    while(!Q.empty()){
        int u=Q.front();
        Q.pop();
        vis[u]=false;
        for(int i=head[u],v,w;i;i=e[i].nxt){
            if(!e[i].w) continue;
            v=e[i].to,w=e[i].c;
            if(h[u]+w<h[v]){
                h[v]=h[u]+w;
                if(!vis[v]){
                    vis[v]=true;
                    Q.push(v);
                }
            }
        }
    }
}
struct Data{
    int u;
    ll d;
    Data()=default;
    Data(int u_,ll d_):u(u_),d(d_){}
    bool operator<(const Data &rhs)const{
        return d>rhs.d;
    }
};
ll dis[maxn];
int pre[maxn];
priority_queue<Data> PQ;
void Dijkstra(){
    memset(vis,0,sizeof(vis));
    memset(dis,0x3f,sizeof(dis));
    dis[S]=0;
    PQ.push(Data(S,0));
    while(!PQ.empty()){
        int u=PQ.top().u;
        PQ.pop();
        if(vis[u]) continue;
        vis[u]=true;
        for(int i=head[u],v;i;i=e[i].nxt){
            if(!e[i].w) continue;
            v=e[i].to;
            ll w=e[i].c+h[u]-h[v];
            if(dis[u]+w<dis[v]){
                dis[v]=dis[u]+w,pre[v]=i;
                PQ.push(Data(v,dis[v]));
            }
        }
    }
}
pil MCMF(){
    pil res=make_pair(0,0);
    SPFA();
    while(1){
        Dijkstra();
        if(dis[T]==llinf) return res;
        for(int u=1;u<=n;++u) h[u]+=dis[u];
        int mn=inf;
        for(int u=T;u!=S;u=e[pre[u]^1].to) mn=min(mn,e[pre[u]].w);
        res.fir+=mn;
        for(int u=T;u!=S;u=e[pre[u]^1].to){
            res.sec+=1ll*e[pre[u]].c*mn;
            e[pre[u]].w-=mn,e[pre[u]^1].w+=mn;
        }
    }
}

int main(){
    // freopen("test.in","r",stdin);
    n=read(),m=read();
    S=1,T=n;
    cnt=1;
    for(int i=1,u,v,w,c;i<=m;++i){
        u=read(),v=read(),w=read(),c=read();
        add_edge(u,v,w,c);
    }
    pil ans=MCMF();
    printf("%d %lld\n",ans.fir,ans.sec);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 1ms
memory: 3728kb

input:

8 27
2 3 2147483647 100
1 3 1 100
2 4 2147483647 10
1 4 1 10
2 4 2147483647 10
1 4 1 10
2 8 3 0
3 5 2147483647 100
1 5 1 100
3 8 1 0
3 2 2147483647 0
4 5 2147483647 10
1 5 1 10
4 8 1 0
4 2 2147483647 0
5 6 2147483647 1
1 6 1 1
5 6 2147483647 1
1 6 1 1
5 7 2147483647 1
1 7 1 1
5 8 3 0
5 2 2147483647 ...

output:

8 243

result:

ok 2 number(s): "8 243"

Test #2:

score: 10
Accepted
time: 0ms
memory: 4008kb

input:

12 49
2 10 2147483647 5
1 10 1 5
2 5 2147483647 50
1 5 1 50
2 9 2147483647 8
1 9 1 8
2 8 2147483647 47
1 8 1 47
2 11 2147483647 17
1 11 1 17
2 12 5 0
3 12 0 0
3 2 2147483647 0
4 6 2147483647 18
1 6 1 18
4 11 2147483647 12
1 11 1 12
4 9 2147483647 14
1 9 1 14
4 12 3 0
4 2 2147483647 0
5 11 2147483647...

output:

15 436

result:

ok 2 number(s): "15 436"

Test #3:

score: 10
Accepted
time: 1ms
memory: 4084kb

input:

27 169
2 15 2147483647 24
1 15 1 24
2 19 2147483647 96
1 19 1 96
2 12 2147483647 49
1 12 1 49
2 13 2147483647 75
1 13 1 75
2 24 2147483647 2
1 24 1 2
2 27 5 0
3 27 0 0
3 2 2147483647 0
4 11 2147483647 99
1 11 1 99
4 3 2147483647 85
1 3 1 85
4 27 2 0
4 2 2147483647 0
5 27 0 0
5 2 2147483647 0
6 9 214...

output:

60 4338

result:

ok 2 number(s): "60 4338"

Test #4:

score: 10
Accepted
time: 30ms
memory: 3748kb

input:

77 2149
2 42 2147483647 33
1 42 1 33
2 68 2147483647 30
1 68 1 30
2 76 2147483647 13
1 76 1 13
2 51 2147483647 93
1 51 1 93
2 12 2147483647 39
1 12 1 39
2 57 2147483647 74
1 57 1 74
2 70 2147483647 21
1 70 1 21
2 73 2147483647 24
1 73 1 24
2 52 2147483647 54
1 52 1 54
2 15 2147483647 99
1 15 1 99
2 ...

output:

1000 74606

result:

ok 2 number(s): "1000 74606"

Test #5:

score: 10
Accepted
time: 116ms
memory: 4140kb

input:

102 4199
2 48 2147483647 42
1 48 1 42
2 85 2147483647 50
1 85 1 50
2 22 2147483647 83
1 22 1 83
2 95 2147483647 97
1 95 1 97
2 82 2147483647 34
1 82 1 34
2 25 2147483647 72
1 25 1 72
2 4 2147483647 17
1 4 1 17
2 47 2147483647 10
1 47 1 10
2 71 2147483647 12
1 71 1 12
2 68 2147483647 39
1 68 1 39
2 2...

output:

2000 161420

result:

ok 2 number(s): "2000 161420"

Test #6:

score: 10
Accepted
time: 117ms
memory: 4108kb

input:

102 4199
2 79 2147483647 13
1 79 1 13
2 83 2147483647 73
1 83 1 73
2 75 2147483647 90
1 75 1 90
2 30 2147483647 92
1 30 1 92
2 54 2147483647 25
1 54 1 25
2 66 2147483647 53
1 66 1 53
2 52 2147483647 37
1 52 1 37
2 63 2147483647 46
1 63 1 46
2 11 2147483647 20
1 11 1 20
2 55 2147483647 53
1 55 1 53
2...

output:

2000 143072

result:

ok 2 number(s): "2000 143072"

Test #7:

score: 10
Accepted
time: 116ms
memory: 3860kb

input:

102 4199
2 39 2147483647 45
1 39 1 45
2 51 2147483647 11
1 51 1 11
2 86 2147483647 63
1 86 1 63
2 23 2147483647 46
1 23 1 46
2 48 2147483647 63
1 48 1 63
2 87 2147483647 8
1 87 1 8
2 73 2147483647 63
1 73 1 63
2 5 2147483647 52
1 5 1 52
2 80 2147483647 21
1 80 1 21
2 31 2147483647 44
1 31 1 44
2 101...

output:

2000 146132

result:

ok 2 number(s): "2000 146132"

Test #8:

score: 10
Accepted
time: 916ms
memory: 4128kb

input:

302 10599
2 72 2147483647 169
1 72 1 169
2 260 2147483647 165
1 260 1 165
2 12 2147483647 108
1 12 1 108
2 16 2147483647 26
1 16 1 26
2 28 2147483647 148
1 28 1 148
2 7 2147483647 74
1 7 1 74
2 139 2147483647 199
1 139 1 199
2 231 2147483647 9
1 231 1 9
2 287 2147483647 123
1 287 1 123
2 135 2147483...

output:

5000 1106316

result:

ok 2 number(s): "5000 1106316"

Test #9:

score: 10
Accepted
time: 939ms
memory: 4384kb

input:

302 10599
2 222 2147483647 132
1 222 1 132
2 17 2147483647 7
1 17 1 7
2 177 2147483647 253
1 177 1 253
2 90 2147483647 195
1 90 1 195
2 128 2147483647 289
1 128 1 289
2 42 2147483647 193
1 42 1 193
2 213 2147483647 133
1 213 1 133
2 263 2147483647 293
1 263 1 293
2 50 2147483647 155
1 50 1 155
2 228...

output:

5000 1290871

result:

ok 2 number(s): "5000 1290871"

Test #10:

score: 10
Accepted
time: 929ms
memory: 4380kb

input:

302 10599
2 176 2147483647 289
1 176 1 289
2 190 2147483647 99
1 190 1 99
2 10 2147483647 96
1 10 1 96
2 240 2147483647 165
1 240 1 165
2 273 2147483647 205
1 273 1 205
2 248 2147483647 194
1 248 1 194
2 220 2147483647 122
1 220 1 122
2 194 2147483647 167
1 194 1 167
2 8 2147483647 67
1 8 1 67
2 227...

output:

5000 1395897

result:

ok 2 number(s): "5000 1395897"