📄 2139.cpp
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/* This Code is Submitted by wywcgs for Problem 2139 on 2006-07-23 at 15:59:23 */
#include <cstdio>
#include <climits>
#include <algorithm>
using namespace std;
typedef unsigned int uint;
const int H_MAX = 1024;
const int N_MAX = 64;
const int INF = 1 << 30;
const char *DIR = "UD";
int main()
{
int n, build[N_MAX];
uint hei[N_MAX][H_MAX];
int sum[N_MAX], t, T, i, j;
scanf("%d", &T);
for(t = 0; t < T; t++) {
scanf("%d", &n); sum[0] = 0;
for(i = 0; i < n; i++) { scanf("%d", &build[i]); sum[i+1] = sum[i] + build[i]; }
memset(hei, -1, sizeof(hei)); hei[0][0] = 0;
for(i = 0; i < n; i++)
for(j = 0; j <= sum[i]; j++) {
if(hei[i][j] == UINT_MAX) continue;
uint nowH = j+build[i], now = max(hei[i][j]>>1, nowH);
hei[i+1][nowH] = min(hei[i+1][nowH], now<<1);
if(j < build[i]) continue;
nowH = j-build[i]; now = max(hei[i][j]>>1, nowH);
hei[i+1][nowH] = min(hei[i+1][nowH], (now<<1)|1);
}
if(hei[n][0] == UINT_MAX) printf("IMPOSSIBLE\n");
else {
char dir[N_MAX] = ""; int nh = 0;
for(i = n; i > 0; i--) {
dir[i-1] = DIR[hei[i][nh]&1];
nh += (dir[i-1] == 'U') ? -build[i-1] : build[i-1];
}
printf("%s\n", dir);
}
}
return 0;
}
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