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AtCoder Beginner Contest 409 Luogu P5325. 【模板】Min_25 筛 UOJ #188. 【UR #13】Sanrd AtCoder Beginner Contest 371 AtCoder Beginner Contest 369 RPGMaker 2k3 百科 OneShot 的考古 2024“开创拓芯”游戏创享节的相关记录 CJ 回来后的戒断反应 Luogu P10221. [省选联考 2024] 重塑时光 Luogu P5308 [COCI2018-2019#4] Akvizna wqs 二分 歌唱王国 Lean 相关 BZOJ 3153. Sone1 The 2023 ICPC World Finals Luxor 新巴别塔 Sora 的想象与思考 Facebook Hacker Cup 2023 Round 1 AtCoder Beginner Contest 322 LLaMA 2 相关 HuggingFace AI Game Jam ACL 2023 Trans 相关… Luogu P2053. [SCOI2007] 修车 Luogu P1973. [NOI2011] NOI 嘉年华 Luogu P1933. [NOI2010] 旅行路线 Luogu P1954. [NOI2010] 航空管制 Luogu P2046. [NOI2010] 海拔 Luogu P3227. [HNOI2013] 切糕 Luogu P8500. [NOI2022] 冒泡排序 Luogu P3629. [APIO2010] 巡逻 USACO 2018 February Contest, Gold Problem 2. Directory Traversal Luogu P3647. [APIO2014] 连珠线 IZhO 2017. Problem F. Hard route SPOJ TWOPATHS. Two Paths 换根 dp 洪恩电脑 —— 开天辟地 Facebook Hacker Cup 2022 Round 2 Codeforces Round #875 Luogu P5828 边双连通图计数 EC Final 拉格朗日反演定理 Luogu P5827. 点双连通图计数 无标号连通图 AtCoder Beginner Contest 284 Luogu P4708. 画画 Luogu P6295. 有标号 DAG 计数 BZOJ #2863. 愤怒的元首 HDU 3303. Harmony Forever 聊聊《明日方舟 Side Story 孤星》与《崩坏:星穹铁道》 SGU 208. Toral Tickets 后日谈,SHLUG 月度分享(上) 钢琴练习 EasyRPG x ChatGPT ControlNet 相关 The 1st Universal Cup, Stage 4, Ukraine EasyRPG —— Sliding Puzzle The 1st Universal Cup, Stage 3, Poland DP 优化练习 NOI 2009 TypeDB Forces 2023 Nas 买来做什么… Global Game Jam 2023 参赛纪录 The 1st Universal Cup, Stage 2, Hongkong The 1st Universal Cup, Stage 0, Nanjing Codeforces Round #850 舟游同人游戏 RM2k3 机能增强 —— EasyRPG Player 魔改版 《海之歌》设定与剧本 dfs 序求 lca Codeforces Round #844 P3768 简单的数学题 AtCoder Beginner Contest 281 ChatGPT 相关 AtCoder Grand Contest 059 AtCoder Beginner Contest 280 Codeforces Global Round 24 事实核查,以乌鲁木齐火灾为例 SPOJ MUSKET. Musketeers Pinely Round 1 Note about FTX Permutation ICPC World Final 2021 CodeTON Round 3 Codeforces Round #831 Educational Codeforces Round 138 NovelAI 法术指南 卡农 Educational Codeforces Round 135 Codeforces Round #819 瓦喵之夏 NOI 2022 Luogu P3765 总统选举 Luogu P3369 【模板】普通平衡树 网络国家 旋转卡壳 OFAC Sanctions && Tornado Cash BZOJ 1185. [HNOI2007]最小矩形覆盖 Codeforces Round #814
Luogu P2048. [NOI2010] 超级钢琴
2023-06-08 · via 某岛

可以先写一个暴力 RMQ 解决 K=1 的 10 分代码,确保自己没读错题理解成字符串问题了囧。
那么 top K 可以用类似 [USACO3.1]丑数 Humble Numbers 那个题里的方法,开个堆,每次找到一个数就分裂一下塞回去。

这个题数据量足够大,询问数组的下标从 0 开始,还要询问 rmq 的位置,非常适合用我们新学习的 O(n)-O(1) RMQ 大显身手!。。。

#include <lastweapon/bitwise>

using namespace lastweapon;

const int N = int(5e5) + 9;
int s[N];
int n, K, L, R;

template<typename T> struct rmq {
	vector<T> v; int n;
	static const int b = 30; // block size
	vector<int> mask, t; // mask and sparse table

	int op(int x, int y) {
		return v[x] < v[y] ? x : y;
	}
	// least significant set bit
	int lsb(int x) {
		return x & -x;
	}
	// index of the most significant set bit
	int msb_index(int x) {
		return __builtin_clz(1)-__builtin_clz(x);
	}
	// answer query of v[r-size+1..r] using the masks, given size <= b
	int small(int r, int size = b) {
		// get only 'size' least significant bits of the mask
		// and then get the index of the msb of that
		int dist_from_r = msb_index(mask[r] & ((1<<size)-1));

		return r - dist_from_r;
	}

	rmq(){}

	rmq(const vector<T>& v_) : v(v_), n(v.size()), mask(n), t(n) {
		int curr_mask = 0;
		for (int i = 0; i < n; i++) {

			// shift mask by 1, keeping only the 'b' least significant bits
			curr_mask = (curr_mask<<1) & ((1<<b)-1);

			while (curr_mask > 0 and op(i, i - msb_index(lsb(curr_mask))) == i) {
				// current value is smaller than the value represented by the
				// last 1 in curr_mask, so we need to turn off that bit
				curr_mask ^= lsb(curr_mask);
			}
			// append extra 1 to the mask
			curr_mask |= 1;

			mask[i] = curr_mask;
		}

		// build sparse table over the n/b blocks
		// the sparse table is linearized, so what would be at
		// table[j][i] is stored in table[(n/b)*j + i]
		for (int i = 0; i < n/b; i++) t[i] = small(b*i+b-1);
		for (int j = 1; (1<<j) <= n/b; j++) for (int i = 0; i+(1<<j) <= n/b; i++)
			t[n/b*j+i] = op(t[n/b*(j-1)+i], t[n/b*(j-1)+i+(1<<(j-1))]);
	}
	// query(l, r) returns the actual minimum of v[l..r]
	// to get the index, just change the first and last lines of the function
	T query(int l, int r) {
		// query too small
		//if (r-l+1 <= b) return v[small(r, r-l+1)];
		if (r-l+1 <= b) return small(r, r-l+1);

		// get the minimum of the endpoints
		// (there is no problem if the ranges overlap with the sparse table query)
		int ans = op(small(l+b-1), small(r));

		// 'x' and 'y' are the blocks we need to query over
		int x = l/b+1, y = r/b-1;

		if (x <= y) {
			int j = msb_index(y-x+1);
			ans = op(ans, op(t[n/b*j+x], t[n/b*j+y-(1<<j)+1]));
		}

		//return v[ans];
		return ans;
	}
};


rmq<int> T;

struct rec {
    int i, l, r, m, f;
    rec(int i, int l, int r) : i(i), l(l), r(r), m(T.query(l, r)) {
        f = s[i] - s[m];
    }
    bool operator < (const rec& r) const {
        return f < r.f;
    }
};

int main() {

#ifndef ONLINE_JUDGE
    freopen("in.txt", "r", stdin);
    //freopen("/Users/minakokojima/Documents/GitHub/ACM-Training/Workspace/out.txt", "w", stdout);
#endif

    RD(n, K, L, R);

    VI a; a.PB(0);
    REP_1(i, n) RD(s[i]) += s[i-1], a.PB(s[i]); a.pop_back();

    T = rmq<int>(a);

    priority_queue<rec> Q;
    FOR_1(i, L, n) {
        Q.push(rec(i, max(0, i-R), i-L));
    }

    LL z = 0; DO(K) {
        auto u = Q.top(); Q.pop(); z += u.f;
        if (u.m != u.l) Q.push(rec(u.i, u.l, u.m-1));
        if (u.m != u.r) Q.push(rec(u.i, u.m+1, u.r));
    }

    cout << z << endl;
}

Posted by xiaodao
Category: 日常