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AtCoder Grand Contest 020 C - Median Sum

CI https TE ems and fin sub oot tco

題目:here

題解:要轉化一下,找所有子集的中間值,等價於找一個子集,滿足這個子集的和最接近整個序列的和的一半。也就是一個背包判斷可行性的問題。重點來了,bitset優化,至於為什麽?我也不懂啊啊啊啊!!!

註意:總和為奇數的時候。這些都不是重點,重點只有一句:bs | = bs << tp。復雜度變成了O( N^2 * max(Ai) / 64 ),這兒有個大佬

#pragma warning(disable:4996)
#include<bitset>
#include<cstdio>
#include<cstring>
#include
<iostream> #include<algorithm> #define ll long long #define lson root<<1 #define rson root<<1|1 #define mid (l+r)>>1 #define mem(arr, in) memset(arr, in, sizeof(arr)) using namespace std; const int maxn = 4000005; int n; bitset<maxn> bs; int main() { while (cin >> n) {
int res = 0; bs[0] = 1; for (int i = 1; i <= n; i++) { int tp; cin >> tp; res += tp; bs |= bs << tp; } int m = (res + 1) / 2; for (int i = m; i <= res; i++) if (bs[i]) { printf("%d\n"
, i); break; } } return 0; }

AtCoder Grand Contest 020 C - Median Sum