LightOj 1081 二维线段树
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LightOj 1081
题目链接:
http://www.bnuoj.com/v3/problem_show.php?pid=13000
题意:
问一个给定矩形中某一块区域的最大值。
思路:
裸二维线段树不带修改。
源码:
#include <cstdio>#include <cstring>#include <cstdlib>#include <cmath>#include <string>#include <algorithm>#include <iostream>using namespace std;const int MAXN = 501 * 4;int tree[MAXN][MAXN];int a[MAXN/4][MAXN/4];int n, q;void push_upx(int ox, int oy){tree[ox][oy] = max(tree[ox << 1][oy], tree[ox << 1 | 1][oy]);}void push_upy(int ox, int oy){tree[ox][oy] = max(tree[ox][oy << 1], tree[ox][oy << 1 | 1]);}void buildy(int ox, int oy, int ly, int ry, int flag, int lx){// printf("ox = %d, oy = %d, ly = %d, ry = %d\n", ox, oy, ly, ry);// system("pause"); if(ly == ry){ if(flag) tree[ox][oy] = a[lx][ly]; else push_upx(ox, oy); } else{ int mid = (ly + ry) >> 1; buildy(ox, oy << 1, ly, mid, flag, lx); buildy(ox, oy << 1 | 1, mid + 1, ry, flag, lx); push_upy(ox, oy); }}void buildx(int ox, int lx, int rx){// printf("ox = %d, lx = %d, rx = %d\n", ox, lx, rx);// system("pause"); if(lx != rx){ int mid = (lx + rx) >> 1; buildx(ox << 1, lx, mid); buildx(ox << 1 | 1, mid + 1, rx); } buildy(ox, 1, 1, n, lx == rx, lx);}int queryy(int ox, int oy, int ly, int ry, int y1, int s){// printf("ox = %d, oy = %d, ly = %d, ry = %d, y1 = %d, s = %d\n", ox, oy, ly, ry, y1, s);// system("pause"); int y2 = y1 + s - 1; if(ly >= y1 && ry <= y2) return tree[ox][oy]; else{ int ans = 0; int mid = (ly + ry) >> 1; if(y1 <= mid) ans = max(ans, queryy(ox, oy << 1, ly, mid, y1, s)); if(y2 > mid) ans = max(ans, queryy(ox, oy << 1 | 1, mid + 1, ry, y1, s)); return ans; }}int queryx(int ox, int lx, int rx, int x1, int y1, int s){// printf("ox = %d, lx = %d, rx = %d, x1 = %d, y1 = %d, s = %d\n", ox, lx, rx, x1, y1, s);// system("pause"); int x2 = x1 + s - 1; if(lx >= x1 && rx <= x2) return queryy(ox, 1, 1, n, y1, s); else{ int mid = (lx + rx) >> 1; int ans = 0; if(x1 <= mid) ans = max(ans, queryx(ox << 1, lx, mid, x1, y1, s)); if(x2 > mid) ans = max(ans, queryx(ox << 1 | 1, mid + 1, rx, x1, y1, s)); return ans; }}int main(){ int T; scanf("%d", &T); for(int cas = 1 ; cas <= T ; cas++){ scanf("%d%d", &n, &q); for(int i = 1 ; i <= n ; i++) for(int j = 1 ; j <= n ; j++) scanf("%d", &a[i][j]); buildx(1, 1, n); printf("Case %d:\n", cas); for(int i = 1 ; i <= q ; i++){ int u, v, s; scanf("%d%d%d", &u, &v, &s); printf("%d\n", queryx(1, 1, n, u, v, s)); } } return 0;}
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