📄 4032452_ce.cc
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#include <stdio.h>
#include <vector>
#define inf 10000000
using namespace std;
int n, k, minc;
int st, ed;
struct node
{
int id;
int c, f, w;
};
int N, M;
int tm[50][50];
void init()
{
int i, j;
scanf("%d%d", &N, &M);
for (i = 0; i < N; i++)
{
for (j = 0; j < M; j++)
{
scanf("%d", &tm[i][j]);
}
}
}
int que[1000000];
int v[3000], fa[3000];
vector <node> graph[3000];
bool find_way()
{
int id;
int i, s;
int f, r;
for(i = 0; i < n; i++)
v[i] = inf;
v[st] = 0;
f = r = -1;
que[++r] = st;
while(f!=r)
{
++f;
s = que[f];
for(i = 0; i < graph[s].size(); i++)
{
id = graph[s][i].id;
if(graph[s][i].f<graph[s][i].c&&v[s]+graph[s][i].w<v[id])
{
v[id] = v[s]+graph[s][i].w;
que[++r] = id;
fa[id] = s;
}
}
}
if(v[ed] < inf)
return true;
return false;
}
void add_way()
{
int i, j, l, tmp;
i = ed;
do
{
j = i;
i = fa[j];
for(l = 0; l < graph[i].size(); l++)
{
if(graph[i][l].id == j)
{
graph[i][l].f++;
tmp = -graph[i][l].f;
break;
}
}
for(l = 0; l < graph[j].size(); l++)
{
if(graph[j][l].id == i)
{
graph[j][l].f = tmp;
break;
}
}
}while(i!=st);
minc += v[ed];
}
void get_graph()
{
int i, j, k, st;
node t;
for (i = 0; i < 3000; i++)
{
graph[i].clear();
}
for (i = 1; i <= N; i++)
{
t.id = i;
t.c = 1;
t.f = t.w = 0;
graph[0].push_back(t);
}
for (i = N + 1; i <= N + M * N; i++)
{
t.id = N + 1 + M * N;
t.c = 1;
t.f = t.w = 0;
graph[i].push_back(t);
}
for(i = 1; i <= N; i++)
{
st = N + 1;
for (j = 1; j <= M; j++)
{
for (k = 1; k <= N; k++)
{
t.id = st;
t.c = 1;
t.w = k * tm[i - 1][j - 1];
t.f = 0;
graph[i].push_back(t);
t.id = i;
t.c = t.f = 0;
t.w = -k * tm[i - 1][j - 1];
graph[st].push_back(t);
st++;
}
}
}
minc = 0;
st = 0;
ed = N + 1 + M * N;
n = ed + 1;
}
int main()
{
int cas;
scanf("%d", &cas);
while (cas--)
{
init();
get_graph();
minc = 0;
while(find_way())
add_way();
printf("%.6lf\n",1.0 * minc / N);
}
return 0;
}
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