oj.uz

Submission #740041

# Submission time Handle Problem Language Result Execution time Memory
740041 2023-05-12T02:48:13 Z fractlpaca Horses (IOI15_horses) C++17
17 / 100
 1500 ms 71088 KB 
#include "horses.h"
#include <vector>
#include <algorithm>
#include <set>
//#include <iostream>

#define v vector
#define ll long long
#define fi first
#define se second

#define MOD ((ll) 1000000007)
#define INF ((ll) 1000000001)

using namespace std;

int *x;
int *y;
int n;

// Editorial Subtask 5

v<ll> xs_mod;
v<ll> xs_trunc;
v<int> ys_max;
set<pair<int, int>> ranges;

ll query_xs_mod(int L, int R, int l, int r, int index) {
	if (r<L || l>R) return 1;
	if (l>=L and r<=R) return xs_mod[index];
	int mid = (l+r)/2;
	ll subl = query_xs_mod(L, R, l, mid, index*2);
	ll subr = query_xs_mod(L, R, mid+1, r, index*2+1);
	return (subl*subr)%MOD;
}

void update_xs_mod(int pos, int value, int l, int r, int index) {
	int mid = (l+r)/2;
	if (l==r){
		xs_mod[index] = value;
		return;
	}
	if (pos <= mid){
		update_xs_mod(pos, value, l, mid, index*2);
	} else {
		update_xs_mod(pos, value, mid+1, r, index*2+1);
	}
	xs_mod[index] = (xs_mod[index*2]*xs_mod[index*2+1])%MOD;
}

ll query_xs_trunc(int L, int R, int l, int r, int index) {
	if (r<L || l>R) return 1;
	if (l>=L and r<=R) return xs_trunc[index];
	int mid = (l+r)/2;
	ll subl = query_xs_trunc(L, R, l, mid, index*2);
	ll subr = query_xs_trunc(L, R, mid+1, r, index*2+1);
	return min(INF, subl*subr);
}

void update_xs_trunc(int pos, int value, int l, int r, int index) {
	if (l==r) {
		xs_trunc[index] = value;
		return;
	}
	int mid = (l+r)/2;
	if (pos <= mid){
		update_xs_trunc(pos, value, l, mid, index*2);
	} else {
		update_xs_trunc(pos, value, mid+1, r, index*2+1);
	}
	xs_trunc[index] = min(INF, xs_trunc[index*2]*xs_trunc[index*2+1]);
}

int query_ys_max(int L, int R, int l, int r, int index) {
	if (r<L || l>R) return -1;
	if (l>=L and r<=R) return ys_max[index];
	int mid = (l+r)/2;
	int subl = query_ys_max(L, R, l, mid, index*2);
	int subr = query_ys_max(L, R, mid+1, r, index*2+1);
	if (subl == -1) return subr;
	if (subr == -1) return subl;
	if (y[subl] > y[subr]) return subl;
	return subr;
}

void update_ys_max(int pos, int value, int l, int r, int index) {
	if (l==r) {
		y[pos] = value;
		ys_max[index] = pos;
		return;
	}
	int mid = (l+r)/2;
	if (pos <= mid){
		update_ys_max(pos, value, l, mid, index*2);
	} else {
		update_ys_max(pos, value, mid+1, r, index*2+1);
	}
	int subl = ys_max[index*2];
	int subr = ys_max[index*2+1];
	int ans = 0;
	if (subl == -1) ans = subr;
	else if (subr == -1) ans = subl;
	else if (y[subl] > y[subr]) ans = subl;
	else ans = subr;
	ys_max[index] = ans;
}

int solve() {
	// cerr<<"Ranges: ";
	// for(auto it=ranges.begin(); it!=ranges.end(); it++) {
	// 	cerr<<"("<<it->fi<<", "<<it->se<<"), ";
	// } cerr<<endl;

	int counter = 0;
	auto it = ranges.end();
	it--;
	int max_i = query_ys_max(it->fi, it->se, 0, n-1, 1);
	for(it--; it!=ranges.begin()&&counter<60; it--,counter++) {
		int i = query_ys_max(it->fi, it->se, 0, n-1, 1);
		ll pop = query_xs_trunc(i+1, max_i, 0, n-1, 1);
		if (y[i] > y[max_i]*pop) {
			max_i = i;
		}
	}
	ll mult = query_xs_mod(0, max_i, 0, n-1, 1);
	return (int) ((mult*y[max_i])%MOD);
}

int init(int N, int X[], int Y[]) {
	n = N;
	x = X;
	y = Y;

	xs_mod = v<ll> (4*n, 1);
	xs_trunc = v<ll> (4*n, 1);
	ys_max = v<int> (4*n, 1);

	for (int i=0; i<n; i++) {
		update_xs_mod(i, X[i], 0, n-1, 1);
		update_xs_trunc(i, X[i], 0, n-1, 1);
		update_ys_max(i, Y[i], 0, n-1, 1);
		ranges.insert({i, i});
	}

	for(auto it = ranges.begin(); it!=ranges.end(); it++) {
		if (x[it->fi] == 1 && it!=ranges.begin()) {
			auto prev = it;
			prev--;
			if (x[prev->fi] == 1) {
				ranges.erase(prev);
				ranges.erase(it);
				ranges.insert({prev->fi, it->se});
			}
		}
	}
	return solve();
}

int updateX(int pos, int val) {
	if (val == 1 && x[pos] != 1){
		auto it = ranges.find({pos, pos});
		int new_start = pos, new_end = pos;
		if (it!=ranges.begin()) {
			auto prev = it;
			prev--;
			if (x[prev->fi] == 1) {
				new_start = prev->fi;
				ranges.erase(prev);
			}
		}
		auto next = it;
		next++;
		if (next!=ranges.end()) {
			if (x[next->fi] == 1) {
				new_end = next->se;
				ranges.erase(next);
			}
		}
		ranges.erase(it);
		ranges.insert({new_start, new_end});

	} else if (val!=1 && x[pos] == 1) {
		auto it = ranges.upper_bound({pos, n});
		it--;
		int start = it->fi, end = it->se;
		if (pos > start) ranges.insert({start, pos-1});
		if (pos < end) ranges.insert({pos+1, end});
		ranges.erase(it);
		ranges.insert({pos, pos});
	}

	x[pos] = val;
	update_xs_mod(pos, val, 0, n-1, 1);
	update_xs_trunc(pos, val, 0, n-1, 1);
	return solve();
}

int updateY(int pos, int val) {
	update_ys_max(pos, val, 0, n-1, 1);
	return solve();
}

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 288 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 288 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 288 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 292 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct

Subtask #2
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 288 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 284 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 288 KB Output is correct
22 Correct 1 ms 284 KB Output is correct
23 Correct 13 ms 340 KB Output is correct
24 Correct 11 ms 340 KB Output is correct
25 Correct 12 ms 340 KB Output is correct
26 Correct 13 ms 456 KB Output is correct
27 Incorrect 10 ms 340 KB Output isn't correct
28 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1560 ms 71088 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 284 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 284 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 288 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 288 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 288 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 13 ms 340 KB Output is correct
24 Correct 12 ms 340 KB Output is correct
25 Correct 11 ms 340 KB Output is correct
26 Correct 10 ms 340 KB Output is correct
27 Incorrect 10 ms 340 KB Output isn't correct
28 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 284 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 288 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 288 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 288 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 288 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 288 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 288 KB Output is correct
23 Correct 13 ms 428 KB Output is correct
24 Correct 11 ms 440 KB Output is correct
25 Correct 11 ms 340 KB Output is correct
26 Correct 10 ms 444 KB Output is correct
27 Incorrect 10 ms 436 KB Output isn't correct
28 Halted 0 ms 0 KB -