【BZOJ3032】七夕祭【绝对值不等式】【中位数】【数形结合】

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【题目链接】

这题是BZOJ1045的二维版本。因为行列独立,所以分别跑一次就行啦。

【BZOJ1045题解】

/* Pigonometry */#include <cstdio>#include <algorithm>using namespace std;typedef long long LL;const int maxn = 100005;int n, m, t, x[maxn], y[maxn];inline int iread() {int f = 1, x = 0; char ch = getchar();for(; ch < '0' || ch > '9'; ch = getchar()) f = ch == '-' ? -1 : 1;for(; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0';return f * x;}inline int intabs(int x) {return x < 0 ? -x : x;}inline LL solve(int *r, int n) {static int c[maxn];for(int i = 0; i <= n; i++) c[i] = 0;for(int i = 1; i <= t; i++) c[r[i]]++;int M = t / n;for(int i = 1; i <= t; i++) c[i] += c[i - 1] - M;sort(c + 1, c + n + 1);LL ans = 0; int mid = c[(n + 1) >> 1];for(int i = 1; i <= n; i++) ans += intabs(c[i] - mid);return ans;}int main() {n = iread(); m = iread(); t = iread();for(int i = 1; i <= t; i++) x[i] = iread(), y[i] = iread();int flag = 0;if(t % n && t % m) flag = 1;else if(t % n == 0 && t % m == 0) flag = 2;else if(t % n == 0) flag = 3;else if(t % m == 0) flag = 4;LL ans = 0;if(flag == 1) printf("impossible\n");else if(flag == 2) ans = solve(x, n) + solve(y, m), printf("both %lld\n", ans);else if(flag == 3) ans = solve(x, n), printf("row %lld\n", ans);else if(flag == 4) ans = solve(y, m), printf("column %lld\n", ans);return 0;}


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