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#include <stdio.h> | |
#include <string.h> | |
#define MIN(a,b) (((a)<(b))?(a):(b)) | |
int getBit(long long int s, int i) { | |
return (s >> i) & 1; | |
} | |
long long int clearBit(long long int s, int i) { | |
s ^= 1 << i; | |
return s; | |
} | |
unsigned int countSetBits(int n) | |
{ | |
unsigned int count = 0; | |
while (n) | |
{ | |
n &= (n-1) ; | |
count++; | |
} | |
return count; | |
} | |
int main(void) { | |
// your code goes here | |
int n, m, i, k; | |
scanf("%d %d", &n, &m); | |
int a, b; | |
int connection, diff, count, required; | |
long long int conn[n]; | |
short f[(1<<n)+10]; | |
short dp[(1<<n)+10]; | |
for (int t=0;t<n;t++) { | |
conn[t] = 0; | |
} | |
for(int i=0; i<m; ++i) { | |
scanf("%d %d", &a, &b); | |
conn[a-1] = clearBit(conn[a-1], b-1); | |
conn[b-1] = clearBit(conn[b-1], a-1); | |
} | |
for (long long int k=0;k<((1<<n)+10);++k) { | |
f[k] = 1e4; | |
int t_cost = 0; | |
for(i=0;i<n;i++) { | |
if (getBit(k, i)) { | |
connection = conn[i]; | |
diff = connection & k; | |
count = countSetBits(diff); | |
required = countSetBits(connection) - count; | |
t_cost += required; | |
} | |
} | |
dp[k] = t_cost; | |
} | |
f[0] = 0; | |
long long int cleared; | |
for(long long int s=1;s<(1<<n);++s) { | |
for (i=0;i<n;++i) { | |
if (getBit(s, i)) { | |
cleared = clearBit(s, i); | |
f[s] = MIN(f[s], f[cleared]+dp[cleared]); | |
} | |
} | |
} | |
printf("%lld\n", f[(1<<n)-1]); | |
return 0; | |
} | |
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