📄 1049.cpp
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/* This Code is Submitted by wywcgs for Problem 1049 on 2005-11-06 at 19:17:36 */
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAX = 64;
int stick[MAX], a[MAX];
bool used[MAX];
int n, m;
bool combin(int, int, int, int);
int main()
{
int i, sum;
while(scanf("%d", &n) == 1) {
if(n == 0) {
return 0;
} else {
sum = m = 0;
for(i = 0; i < n; i++) {
scanf("%d", &stick[m]);
if(stick[m] <= 50) {
sum += stick[m++];
}
}
sort(stick, stick+m);
a[0] = stick[0];
for(i = 1; i < m; i++) {
a[i] = a[i-1] + stick[i];
}
memset(used, false, sizeof(used));
for(i = stick[m-1]; i < sum; i++) {
if(sum % i == 0 && combin(0, i, m, sum)) {
break;
}
}
printf("%d\n", i);
}
}
return 0;
}
bool combin(int cur, int l, int next, int sum)
{
int i;
bool app[MAX] = {false};
if(sum == 0) {
return true;
}
for(i = next-1; i >= 0; i--) {
if(cur + a[i] < l) {
return false;
} else {
if(!used[i] && !app[stick[i]] && cur + stick[i] <= l) {
app[stick[i]] = true;
used[i] = true;
int p;
if(cur + stick[i] == l) {
p = m;
} else {
p = i;
}
if(combin((cur+stick[i])%l, l, p, sum-stick[i])) {
return true;
}
used[i] = false;
if(cur == 0) {
return false;
}
}
}
}
return false;
}
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