/**
*
* @brief Codeforces Round #278 (Div. 2) b
* @file b.c
* @author mianma
* @created 2014/11/24 17:52
* @edited 2014/11/18 17:52
* @type brute
*
* @note
* declare k >= 0;
* then
* x1 = k
* x2 + x3 = 4k;
* x4 = 3k
* x1 <= x2 <= x3 <= x4
*
*/
#include <cstdio>
#include <vector>
using namespace std;
#define MAXN 2000
#define max(a, b) ((a) > (b) ? (a) : (b))
#define min(a, b) ((a) > (b) ? (b) : (a))
#define abs(a) ((a) > 0 ? (a) : (0 - (a)))
int tmp;
int n;
int table[MAXN + 50];
int anstable[MAXN + 50];
int usetable[MAXN + 50];
int main()
{
#ifdef DEBUG
freopen("./in", "r", stdin);
freopen("./out", "w", stdout);
#endif
scanf("%d", &n);
for(int i = 0; i < n; i++){
scanf("%d", &tmp);
table[tmp]++;
}
if(!n){
printf("YES\n");
printf("1\n1\n3\n3\n");
return 0;
}
int a, b, c, d;
for(a = 0; a <= 500; a++)
for( d = 3*a, b = 0; b <= 4*a; b++){
c = a + d - b;
if(a <= b && b <= c && c <=d)
;
else
continue;
anstable[a]++;
anstable[b]++;
anstable[c]++;
anstable[d]++;
int cnt;
int cost = 0;
int tot = 0;
if(!usetable[a] && anstable[a] >= table[a]){
anstable[a] -= table[a];
cost += table[a];
usetable[a] = 1;
}
if(!usetable[b] && anstable[b] >= table[b]){
anstable[b] -= table[b];
cost += table[b];
usetable[b] = 1;
}
if(!usetable[c] && anstable[c] >= table[c]){
anstable[c] -= table[c];
cost += table[c];
usetable[c] = 1;
}
if(!usetable[d] && anstable[d] >= table[d]){
anstable[d] -= table[d];
cost += table[d];
usetable[d] = 1;
}
if(cost == n){
#ifdef DEBUG
printf("a = %d, b = %d, c = %d, d = %d\n", a, b, c, d);
#endif
//return 0;
printf("YES\n");
while(anstable[a]-- > 0)
printf("%d\n", a);
while(anstable[b]-- > 0)
printf("%d\n", b);
while(anstable[c]-- > 0)
printf("%d\n", c);
while(anstable[d]-- > 0)
printf("%d\n", d);
return 0;
}else{
anstable[a] = 0;
anstable[b] = 0;
anstable[c] = 0;
anstable[d] = 0;
usetable[a] = 0;
usetable[b] = 0;
usetable[c] = 0;
usetable[d] = 0;
}
}
printf("NO\n");
return 0;
}
时间： 2024-10-17 19:09:51