oj.uz

Submission #150104

# Submission time Handle Problem Language Result Execution time Memory
150104 2019-09-01T07:43:22 Z ummm(#3574, cerberus, aayush9, knandy) Organizing the Best Squad (FXCUP4_squad) C++17
47 / 100
 3000 ms 499460 KB 
/* cerberus97 - Hanit Banga */

#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, bool skip_check = false);

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, bool skip_check) {
	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 {
		if (!skip_check) {
			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, skip_check and avoid <= mid);
		auto a2 = query2(tree, rc, mid + 1, r, avoid, x, y, skip_check and avoid > mid);
		if (a1.first > a2.first) {
			return a1;
		} else {
			return a2;
		}
	}
}

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 225784 KB Output is correct
2 Correct 137 ms 226140 KB Output is correct
3 Correct 873 ms 323448 KB Output is correct
4 Correct 880 ms 323320 KB Output is correct
5 Correct 186 ms 240632 KB Output is correct
6 Correct 1077 ms 497376 KB Output is correct
7 Correct 1064 ms 497344 KB Output is correct
8 Correct 1200 ms 497344 KB Output is correct

Subtask #2
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 225784 KB Output is correct
2 Correct 145 ms 226936 KB Output is correct
3 Correct 1238 ms 415388 KB Output is correct
4 Correct 1429 ms 418544 KB Output is correct
5 Correct 189 ms 235000 KB Output is correct
6 Correct 1546 ms 499460 KB Output is correct
7 Correct 1496 ms 499460 KB Output is correct
8 Correct 1490 ms 499460 KB Output is correct

Subtask #3
0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 119 ms 225784 KB Output is correct
2 Correct 137 ms 226140 KB Output is correct
3 Correct 873 ms 323448 KB Output is correct
4 Correct 880 ms 323320 KB Output is correct
5 Correct 186 ms 240632 KB Output is correct
6 Correct 1077 ms 497376 KB Output is correct
7 Correct 1064 ms 497344 KB Output is correct
8 Correct 1200 ms 497344 KB Output is correct
9 Correct 133 ms 225784 KB Output is correct
10 Correct 145 ms 226936 KB Output is correct
11 Correct 1238 ms 415388 KB Output is correct
12 Correct 1429 ms 418544 KB Output is correct
13 Correct 189 ms 235000 KB Output is correct
14 Correct 1546 ms 499460 KB Output is correct
15 Correct 1496 ms 499460 KB Output is correct
16 Correct 1490 ms 499460 KB Output is correct
17 Correct 217 ms 228344 KB Output is correct
18 Correct 142 ms 226808 KB Output is correct
19 Correct 1090 ms 325684 KB Output is correct
20 Correct 1113 ms 325692 KB Output is correct
21 Correct 276 ms 235640 KB Output is correct
22 Execution timed out 3120 ms 497344 KB Time limit exceeded
23 Halted 0 ms 0 KB -