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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#341027 | #602. 最小费用最大流(随机数据) | SoyTony# | 100 ✓ | 939ms | 4384kb | C++14 | 2.8kb | 2024-02-29 15:05:18 | 2024-02-29 15:05:19 |
Judging History
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;
}
詳細信息
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"