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hdu 4819 二维线段树模板
/* HDU 4819 Mosaic 题意:查询某个矩形内的最大最小值, 修改矩形内某点的值为该矩形(Mi+MA)/2; 二维线段树模板: 区间最值,单点更新。 */ #include<bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int MAXN = 1010; int N, Q; struct Nodey { int l, r; int Max, Min; }; int locx[MAXN], locy[MAXN]; struct Nodex { int l, r; Nodey sty[MAXN * 4]; void build(int i, int _l, int _r) { sty[i].l = _l; sty[i].r = _r; sty[i].Max = -INF; sty[i].Min = INF; if(_l == _r) { locy[_l] = i; return; } int mid = (_l + _r) / 2; build(i << 1, _l, mid); build((i << 1) | 1, mid + 1, _r); } int queryMin(int i, int _l, int _r) { if(sty[i].l == _l && sty[i].r == _r) return sty[i].Min; int mid = (sty[i].l + sty[i].r) / 2; if(_r <= mid) return queryMin(i << 1, _l, _r); else if(_l > mid) return queryMin((i << 1) | 1, _l, _r); else return min(queryMin(i << 1, _l, mid), queryMin((i << 1) | 1, mid + 1, _r)); } int queryMax(int i, int _l, int _r) { if(sty[i].l == _l && sty[i].r == _r) return sty[i].Max; int mid = (sty[i].l + sty[i].r) / 2; if(_r <= mid) return queryMax(i << 1, _l, _r); else if(_l > mid) return queryMax((i << 1) | 1, _l, _r); else return max(queryMax(i << 1, _l, mid), queryMax((i << 1) | 1, mid + 1, _r)); } } stx[MAXN * 4]; void build(int i, int l, int r) { stx[i].l = l; stx[i].r = r; stx[i].build(1, 1, N); if(l == r) { locx[l] = i; return; } int mid = (l + r) / 2; build(i << 1, l, mid); build((i << 1) | 1, mid + 1, r); } //单点修改值 void Modify(int x, int y, int val) { int tx = locx[x]; int ty = locy[y]; stx[tx].sty[ty].Min = stx[tx].sty[ty].Max = val; for(int i = tx; i; i >>= 1) for(int j = ty; j; j >>= 1) { if(i == tx && j == ty)continue; if(j == ty) { stx[i].sty[j].Min = min(stx[i << 1].sty[j].Min, stx[(i << 1) | 1].sty[j].Min); stx[i].sty[j].Max = max(stx[i << 1].sty[j].Max, stx[(i << 1) | 1].sty[j].Max); } else { stx[i].sty[j].Min = min(stx[i].sty[j << 1].Min, stx[i].sty[(j << 1) | 1].Min); stx[i].sty[j].Max = max(stx[i].sty[j << 1].Max, stx[i].sty[(j << 1) | 1].Max); } } } int queryMin(int i, int x1, int x2, int y1, int y2) { if(stx[i].l == x1 && stx[i].r == x2) return stx[i].queryMin(1, y1, y2); int mid = (stx[i].l + stx[i].r) / 2; if(x2 <= mid) return queryMin(i << 1, x1, x2, y1, y2); else if(x1 > mid) return queryMin((i << 1) | 1, x1, x2, y1, y2); else return min(queryMin(i << 1, x1, mid, y1, y2), queryMin((i << 1) | 1, mid + 1, x2, y1, y2)); } int queryMax(int i, int x1, int x2, int y1, int y2) { if(stx[i].l == x1 && stx[i].r == x2) return stx[i].queryMax(1, y1, y2); int mid = (stx[i].l + stx[i].r) / 2; if(x2 <= mid) return queryMax(i << 1, x1, x2, y1, y2); else if(x1 > mid) return queryMax((i << 1) | 1, x1, x2, y1, y2); else return max(queryMax(i << 1, x1, mid, y1, y2), queryMax((i << 1) | 1, mid + 1, x2, y1, y2)); } int main() { //freopen("in.txt","r",stdin); //freopen("out.txt","w",stdout); int T, ic = 0; scanf("%d", &T); while(T--) { printf("Case #%d:\n", ++ic); scanf("%d", &N); build(1, 1, N); for(int i = 1; i <= N; i++) for(int j = 1; j <= N; j++) { int a; scanf("%d", &a); Modify(i, j, a); } scanf("%d", &Q); while(Q--) { int x, y, L; scanf("%d%d%d", &x, &y, &L); int x1 = max(x - L / 2, 1); int x2 = min(x + L / 2, N); int y1 = max(y - L / 2, 1); int y2 = min(y + L / 2, N); //(x1,y1)左上角,(x2,y2)右下角 int Max = queryMax(1, x1, x2, y1, y2); int Min = queryMin(1, x1, x2, y1, y2); int t = (Max + Min) / 2; printf("%d\n", t); Modify(x, y, t);//单点修改 } } return 0; }
hdu 4819 二维线段树模板
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