HDU 3954 Level up

题目链接

题意：k个等级，n个英雄，每个等级升级有一定经验，每次两种操作，一个区间加上val，这样区间内英雄都获得当前等级*val的经验，另一个操作询问区间经验最大值

思路：由于等级少，所以每个结点用Max[10]记录下每个等级的最大值，如果有一个升级就一直找到底，因为一个英雄升级最多10次，所以这个操作最多就10W次可以接受，剩下就是普通的区间修改区间查询的延迟操作了

代码：

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;

const int N = 10005;
const int M = 11;

int t, n, k, qw, need[M];

#define lson(x) ((x<<1)+1)
#define rson(x) ((x<<1)+2)

struct Node {
	int l, r, Max[M], add;
	bool cover;
} node[N * 4];

void build(int l, int r, int x = 0) {
	node[x].l = l; node[x].r = r;
	memset(node[x].Max, -1, sizeof(node[x].Max));
	node[x].Max[1] = 0;
	node[x].add = 0;
	node[x].cover = false;
	if (l == r) return;
	int mid = (l + r) / 2;
	build(l, mid, lson(x));
	build(mid + 1, r, rson(x));
}

bool judge(int x, int v) {
	for (int i = 1; i < k; i++) {
		if (node[x].Max[i] == -1) continue;
		if (node[x].Max[i] + i * v >= need[i + 1]) return true;
	}
	return false;
}

void pushup(int x) {
	node[x].cover = (node[lson(x)].cover && node[rson(x)].cover);
	for (int i = 1; i <= k; i++)
		node[x].Max[i] = max(node[lson(x)].Max[i], node[rson(x)].Max[i]);
}

void pushdown(int x) {
	if (node[x].add) {
		node[lson(x)].add += node[x].add;
		node[rson(x)].add += node[x].add;
		for (int i = 1; i <= k; i++) {
			if (node[lson(x)].Max[i] != -1)
				node[lson(x)].Max[i] += node[x].add * i;
			if (node[rson(x)].Max[i] != -1)
				node[rson(x)].Max[i] += node[x].add * i;
		}
		node[x].add = 0;
	}
}

void add(int l, int r, int v, int x = 0) {
	if (node[x].l >= l && node[x].r <= r && (node[x].cover || !judge(x, v))) {
		node[x].add += v;
		for (int i = 1; i <= k; i++) {
			if (node[x].Max[i] == -1) continue;
			node[x].Max[i] += i * v;
		}
		return;
	}
	if (node[x].l == node[x].r) {
		int have;
		for (int i = 1; i < k; i++) {
			if (node[x].Max[i] != -1) {
				have = node[x].Max[i] + i * v;
				break;
			}
		}
		memset(node[x].Max, -1, sizeof(node[x].Max));
		for (int i = 2; i <= k; i++) {
			if (have < need[i]) {
				node[x].Max[i - 1] = have;
				return;
			}
		}
		node[x].Max[k] = have;
		node[x].cover = true;
		return;
	}
	int mid = (node[x].l + node[x].r) / 2;
	pushdown(x);
	if (l <= mid) add(l, r, v, lson(x));
	if (r > mid) add(l, r, v, rson(x));
	pushup(x);
}

int query(int l, int r, int x = 0) {
	if (node[x].l >= l && node[x].r <= r) {
		for (int i = k; i >= 1; i--) {
			if (node[x].Max[i] == -1) continue;
			return node[x].Max[i];
		}
	}
	int mid = (node[x].l + node[x].r) / 2;
	int ans = 0;
	pushdown(x);
	if (l <= mid) ans = max(ans, query(l, r, lson(x)));
	if (r > mid) ans = max(ans, query(l, r, rson(x)));
	pushup(x);
	return ans;
}

int main() {
	int cas = 0;
	scanf("%d", &t);
	while (t--) {
		printf("Case %d:\n", ++cas);
		scanf("%d%d%d", &n, &k, &qw);
		for (int i = 2; i <= k; i++)
			scanf("%d", &need[i]);
		build(1, n);
		char op[15];
		int a, b, c;
		while (qw--) {
			scanf("%s%d%d", op, &a, &b);
			if (op[0] == 'W') {
				scanf("%d", &c);
				add(a, b, c);
			} else printf("%d\n", query(a, b));
		}
		printf("\n");
	}
	return 0;
}