oj.uz

Submission #150735

# Submission time Handle Problem Language Result Execution time Memory
150735 2019-09-01T08:52:34 Z ummm(#3574, cerberus, aayush9, knandy) Organizing the Best Squad (FXCUP4_squad) C++17
47 / 100
 3000 ms 499584 KB 
/* cerberus97 - Hanit Banga */

#pragma comment(linker, "stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

#include "squad.h"
#include <iostream>
#include <iomanip>
#include <cassert>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <vector>
#include <algorithm>

using namespace std;

#define pb push_back
#define fast_cin() ios_base::sync_with_stdio(false); cin.tie(NULL)

typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;

const int N = 3e5 + 10;

// Attribution - t3nsor codebook
struct ConvexHullTrick {
	typedef long long LL;
	vector<int> M;
	vector<int> B;
	vector<int> ids;
	vector<double> left;
	ConvexHullTrick() {}
	bool bad(LL m1, LL b1, LL m2, LL b2, LL m3, LL b3) {
			// Careful, this may overflow
			return (b3-b1)*(m1-m2) < (b2-b1)*(m1-m3);
	}
	// Add a new line to the structure, y = mx + b.
	// Lines must be added in decreasing order of slope.
	void add(LL m, LL b, int id) {
			while (M.size() >= 2 && bad(M[M.size()-2], B[B.size()-2], M.back(), B.back(), m, b)) {
					M.pop_back(); B.pop_back(); ids.pop_back(); left.pop_back();
			}
			if (M.size() && M.back() == m) {
					if (B.back() > b) {
							M.pop_back(); B.pop_back(); ids.pop_back(); left.pop_back();
					} else {
							return;
					}
			}
			if (M.size() == 0) {
					left.push_back(-numeric_limits<double>::infinity());
			} else {
					left.push_back((double)(b - B.back())/(M.back() - m));
			}
			M.push_back(m);
			B.push_back(b);
			ids.push_back(id);
	}
	// Get the minimum value of mx + b among all lines in the structure.
	// There must be at least one line.
    pll query(LL x, LL y) {
            int i = upper_bound(left.begin(), left.end(), double(y) / x) - left.begin();
            return {-(M[i-1]*y + B[i-1]*x), ids[i - 1]};
    }
};

struct player_t {
	int a, d, p;
	bool operator<(const player_t &o) const {
		return p < o.p;
	}
};

int n;
player_t player[N];
ConvexHullTrick atree[4 * N], dtree[4 * N];

void build(int i, int l, int r);
// pll query(ConvexHullTrick* tree, int i, int l, int r, int ql, int qr, int x, int y);
pll query2(ConvexHullTrick* tree, int i, int l, int r, int avoid, int x, int y);

void Init(std::vector<int> A, std::vector<int> D, std::vector<int> P){
	n = A.size();
	for (int i = 1; i <= n; ++i) {
		player[i] = {A[i - 1], D[i - 1], P[i - 1]};
	}
	sort(player + 1, player + n + 1);
	build(1, 1, n);
}

ll BestSquad(int x, int y) {
	auto ba = query2(atree, 1, 1, n, -1, x, y);
	auto bd = query2(dtree, 1, 1, n, -1, x, y);
	if (ba.second != bd.second) {
		return ba.first + bd.first;
	}
	// auto td = max(query(dtree, 1, 1, n, 1, ba.second - 1, x, y), query(dtree, 1, 1, n, ba.second + 1, n, x, y));
	// auto ta = max(query(atree, 1, 1, n, 1, bd.second - 1, x, y), query(atree, 1, 1, n, bd.second + 1, n, x, y));
	auto td = query2(dtree, 1, 1, n, ba.second, x, y);
	auto ta = query2(atree, 1, 1, n, bd.second, x, y);
	return max(ba.first + td.first, bd.first + ta.first);
}

void build(int i, int l, int r) {
	if (l < r) {
		int mid = (l + r) / 2, lc = 2 * i, rc = lc + 1;
		build(lc, l, mid);
		build(rc, mid + 1, r);
		atree[i] = atree[lc];
		dtree[i] = dtree[lc];
		int s = (l == mid ? l : mid + 1);
		for (int j = s; j <= r; ++j) {
			dtree[i].add(-player[j].p, -player[j].d, j);
			atree[i].add(-player[j].p, -player[j].a, j);
		}
	}
}

// pll query(ConvexHullTrick* tree, int i, int l, int r, int ql, int qr, int x, int y) {
// 	if (l > qr or ql > r) {
// 		return {-1, -1};
// 	} else if (l == r) {
// 		if (tree == atree) {
// 			return {ll(x) * player[l].a + ll(y) * player[l].p, l};
// 		} else {
// 			return {ll(x) * player[l].d + ll(y) * player[l].p, l};
// 		}
// 	} else if (ql <= l and r <= qr) {
// 		return tree[i].query(x, y);
// 	} else {
// 		int mid = (l + r) / 2, lc = 2 * i, rc = lc + 1;
// 		auto a1 = query(tree, lc, l, mid, ql, qr, x, y);
// 		auto a2 = query(tree, rc, mid + 1, r, ql, qr, x, y);
// 		if (a1.first > a2.first) {
// 			return a1;
// 		} else {
// 			return a2;
// 		}
// 	}
// }

pll query2(ConvexHullTrick* tree, int i, int l, int r, int avoid, int x, int y) {
	if (l == r and l == avoid) {
		return {-1, -1};
	} else if (l == r) {
		if (tree == atree) {
			return {ll(x) * player[l].a + ll(y) * player[l].p, l};
		} else {
			return {ll(x) * player[l].d + ll(y) * player[l].p, l};
		}
	} else {
		auto cur = tree[i].query(x, y);
		if (cur.second != avoid) {
			return cur;
		}
		int mid = (l + r) / 2, lc = 2 * i, rc = lc + 1;
		auto a1 = query2(tree, lc, l, mid, avoid, x, y);
		auto a2 = query2(tree, rc, mid + 1, r, avoid, x, y);
		if (a1.first > a2.first) {
			return a1;
		} else {
			return a2;
		}
	}
}

Compilation message

squad.cpp:3:0: warning: ignoring #pragma comment  [-Wunknown-pragmas]
 #pragma comment(linker, "stack:200000000")

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 225784 KB Output is correct
2 Correct 136 ms 226168 KB Output is correct
3 Correct 1033 ms 323448 KB Output is correct
4 Correct 1020 ms 323192 KB Output is correct
5 Correct 191 ms 240632 KB Output is correct
6 Correct 1310 ms 497344 KB Output is correct
7 Correct 1221 ms 497344 KB Output is correct
8 Correct 1266 ms 497344 KB Output is correct

Subtask #2
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 225784 KB Output is correct
2 Correct 155 ms 226936 KB Output is correct
3 Correct 1375 ms 415388 KB Output is correct
4 Correct 1290 ms 418544 KB Output is correct
5 Correct 191 ms 235000 KB Output is correct
6 Correct 1441 ms 499460 KB Output is correct
7 Correct 1410 ms 499584 KB Output is correct
8 Correct 1466 ms 499456 KB Output is correct

Subtask #3
0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 225784 KB Output is correct
2 Correct 136 ms 226168 KB Output is correct
3 Correct 1033 ms 323448 KB Output is correct
4 Correct 1020 ms 323192 KB Output is correct
5 Correct 191 ms 240632 KB Output is correct
6 Correct 1310 ms 497344 KB Output is correct
7 Correct 1221 ms 497344 KB Output is correct
8 Correct 1266 ms 497344 KB Output is correct
9 Correct 135 ms 225784 KB Output is correct
10 Correct 155 ms 226936 KB Output is correct
11 Correct 1375 ms 415388 KB Output is correct
12 Correct 1290 ms 418544 KB Output is correct
13 Correct 191 ms 235000 KB Output is correct
14 Correct 1441 ms 499460 KB Output is correct
15 Correct 1410 ms 499584 KB Output is correct
16 Correct 1466 ms 499456 KB Output is correct
17 Correct 211 ms 228344 KB Output is correct
18 Correct 136 ms 226808 KB Output is correct
19 Correct 1167 ms 325684 KB Output is correct
20 Correct 1118 ms 325684 KB Output is correct
21 Correct 304 ms 235640 KB Output is correct
22 Execution timed out 3123 ms 497344 KB Time limit exceeded
23 Halted 0 ms 0 KB -