#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <vector>
#include <stack>
#include <map>
#include <set>
#include <sstream>
#include <iomanip>
#include <cmath>
#include <bitset>
#include <assert.h>
using namespace std;
typedef long long llong;
typedef set<int>::iterator ssii;
#define Cmp(a, b) memcmp(a, b, sizeof(b))
#define Cpy(a, b) memcpy(a, b, sizeof(a))
#define Set(a, v) memset(a, v, sizeof(a))
#define debug(x) cout << #x << ": " << x << endl
#define _forS(i, l, r) for(set<int>::iterator i = (l); i != (r); i++)
#define _rep(i, l, r) for(int i = (l); i <= (r); i++)
#define _for(i, l, r) for(int i = (l); i < (r); i++)
#define _forDown(i, l, r) for(int i = (l); i >= r; i--)
#define debug_(ch, i) printf(#ch"[%d]: %d\n", i, ch[i])
#define debug_m(mp, p) printf(#mp"[%d]: %d\n", p->first, p->second)
#define debugS(str) cout << "dbg: " << str << endl;
#define debugArr(arr, x, y) _for(i, 0, x) { _for(j, 0, y) printf("%c", arr[i][j]); printf("\n"); }
#define _forPlus(i, l, d, r) for(int i = (l); i + d < (r); i++)
#define lowbit(i) (i & (-i))
const int N = 8;
const int maxn = 15 + 2;
int f[maxn][N + 2][N + 2][N + 2][N + 2];
int A[N + 2][N + 2];
int n;
int S[N + 2][N + 2];
double tot = 0;
const int inf = 0x3f3f3f3f;
void init() {
Set(f, inf);
Set(S, 0);
_rep(i, 1, N) _rep(j, 1, N) {
S[i][j] = S[i-1][j] + S[i][j-1] - S[i-1][j-1] + A[i][j];
}
_rep(x1, 1, N) _rep(y1, 1, N) {
_rep(x2, x1, N) _rep(y2, y1, N) {
int t = S[x2][y2] - S[x2][y1-1] - S[x1-1][y2] + S[x1-1][y1-1];
f[0][x1][y1][x2][y2] = t * t;
}
}
}
void dp(int k, int x1, int y1, int x2, int y2) {
int& ans = f[k][x1][y1][x2][y2];
ans = inf;
_for(a, x1, x2) {
ans = min(ans, f[k-1][x1][y1][a][y2] + f[0][a+1][y1][x2][y2]);
ans = min(ans, f[k-1][a+1][y1][x2][y2] + f[0][x1][y1][a][y2]);
}
_for(b, y1, y2) {
ans = min(ans, f[k-1][x1][y1][x2][b] + f[0][x1][b+1][x2][y2]);
ans = min(ans, f[k-1][x1][b+1][x2][y2] + f[0][x1][y1][x2][b]);
}
}
int main() {
freopen("input.txt", "r", stdin);
scanf("%d", &n);
_rep(i, 1, N) _rep(j, 1, N) {
scanf("%d", &A[i][j]);
tot += A[i][j];
}
init();
_rep(k, 1, n - 1) _rep(x1, 1, N) _rep(y1, 1, N) {
_rep(x2, x1, N) _rep(y2, y1, N) {
dp(k, x1, y1, x2, y2);
}
}
double avr = (double)(tot / n);
//debug(tot);
double ans = sqrt(1.0 * f[n - 1][1][1][N][N] / n - (avr * avr));
printf("%.3f\n", ans);
}
棋盘其实一直有一个问题没想明白,X芭是当前分块的平均值,为什么这里可以用整个大块的平均值来代替呢?谢谢
难道不应该是整个大块的平均值吗😮
666
宏定义可以这么搞,大佬受我一拜!!!
您好,最后输出答案那里,为什么是
double avr = (double)(tot / n);
呢?tot/n会把小数部分舍去,再转化成double已经没用了,应该是double(tot)/n
吧(可是这样写的话最后一个点会WA…)因为最后你不是开方是avr * avr啊,
bash (double)(tot) / (double)(n)
, 两个都换一下谢谢up主分享,这个做图很不错啊,请问up主是怎么画的呀?
数位板 + onenote / keynote
好的,谢谢!