oj.uz

Submission #703765

# Submission time Handle Problem Language Result Execution time Memory
703765 2023-02-28T09:50:31 Z 600Mihnea Boat (APIO16_boat) C++17
31 / 100
 1458 ms 524288 KB 
#include <cmath>
#include <functional>
#include <fstream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <map>
#include <list>
#include <time.h>
#include <math.h>
#include <random>
#include <deque>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <iomanip>
#include <cassert>
#include <bitset>
#include <sstream>
#include <chrono>
#include <cstring>
#include <numeric>

using namespace std;

typedef long long ll;
const int M = (int)1e9 + 7;
const int FACTN = 300000 + 7;

int add(int a, int b) {
	a += b;
	if (a >= M) return a - M;
	if (a < 0) return a + M;
	return a;
}

int mul(int a, int b) {
	return a * (ll)b % M;
}

int add(int a, int b, int c) {
	return add(add(a, b), c);
}

int mul(int a, int b, int c) {
	return mul(mul(a, b), c);
}

int add(int a, int b, int c, int d) {
	return add(add(a, b, c), d);
}

int mul(int a, int b, int c, int d) {
	return mul(mul(a, b, c), d);
}

int add(int a, int b, int c, int d, int e) {
	return add(add(a, b, c, d), e);
}

int mul(int a, int b, int c, int d, int e) {
	return mul(mul(a, b, c, d), e);
}

int add(int a, int b, int c, int d, int e, int f) {
	return add(add(a, b, c, d, e), f);
}

int mul(int a, int b, int c, int d, int e, int f) {
	return mul(mul(a, b, c, d, e), f);
}

int add(int a, int b, int c, int d, int e, int f, int g) {
	return add(add(a, b, c, d, e, f), g);
}

int mul(int a, int b, int c, int d, int e, int f, int g) {
	return mul(mul(a, b, c, d, e, f), g);
}

int add(int a, int b, int c, int d, int e, int f, int g, int h) {
	return add(add(a, b, c, d, e, f, g), h);
}

int mul(int a, int b, int c, int d, int e, int f, int g, int h) {
	return mul(mul(a, b, c, d, e, f, g), h);
}

int pw(int a, int b) {
	int r = 1;
	while (b) {
		if (b & 1) r = mul(r, a);
		a = mul(a, a);
		b /= 2;
	}
	return r;
}

int dv(int a, int b) {
	return mul(a, pw(b, M - 2));
}

void addup(int& a, int b) {
	a = add(a, b);
}

void mulup(int& a, int b) {
	a = mul(a, b);
}

void dvup(int& a, int b) {
	a = dv(a, b);
}

int fact[FACTN], ifact[FACTN];

void computeFACT() {
	fact[0] = 1;
	for (int i = 1; i < FACTN; i++) fact[i] = mul(fact[i - 1], i);
	ifact[FACTN - 1] = dv(1, fact[FACTN - 1]);
	for (int i = FACTN - 2; i >= 0; i--) ifact[i] = mul(ifact[i + 1], i + 1);
}

int getCOMB(int n, int k) {
	return mul(fact[n], mul(ifact[k], ifact[n - k]));
}

const int N = 500 + 7;
int n;
int low[N], high[N];
vector<int> dp[N];

int lagrange(vector<pair<int, int>> have, int x)
{
	for (auto& it : have)
	{
		if (it.first == x)
		{
			return it.second;
		}
	}
	int y = 0;
	for (int j = 0; j < (int)have.size(); j++)
	{
		int p = 1;
		for (int m = 0; m < (int)have.size(); m++)
		{
			if (m != j)
			{
				mulup(p, dv(add(x, -have[m].first), add(have[j].first, -have[m].first)));
			}
		}
		addup(y, mul(have[j].second, p));
	}
	return y;
}

int f(int x)
{
	return add(mul(3, x, x, x), mul(x, x));
}

signed main()
{
#ifdef ONPC	
	FILE* stream;
	freopen_s(&stream, "input.txt", "r", stdin);
#else
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif

	//{
	//	vector<pair<int, int>> lol;
	//	lol.push_back({ 1, f(1) });
	//	lol.push_back({ 2, f(2) });
	//	lol.push_back({ 3, f(3) });
	//	lol.push_back({ 4, f(4) });
	//	for (int i = 1; i <= 10; i++)
	//	{
	//		cout << i << " : " << f(i) << " vs " << lagrange(lol, i) << "\n";
	//	}
	//	exit(0);
	//}

	cin >> n;
	for (int i = 1; i <= n; i++)
	{
		cin >> low[i] >> high[i];
		assert(low[i] <= high[i]);
		dp[i].resize(high[i] - low[i] + 1, 1);
	}
	for (int i = 1; i <= n; i++)
	{
		for (int j = 1; j < i; j++)
		{
			for (int y = low[i]; y <= high[i]; y++)
			{
				if (high[j] <= y - 1)
				{
					addup(dp[i][y - low[i]], dp[j].back());
				}
				else
				{
					if (low[j] <= y - 1)
					{
						addup(dp[i][y - low[i]], dp[j][y - 1 - low[j]]);
					}
				}
			}
		}
		int make = min(high[i] - low[i] + 1, i);
		vector<pair<int, int>> pts;
		for (int d = 0; d < make; d++)
		{
			int pz = (int)dp[i].size() - 1 - d;
			pts.push_back({ pz, dp[i][pz] });
		}
		for (int pz = 0; pz < (int)dp[i].size(); pz++)
		{
			//assert(dp[i][pz] == lagrange(pts, pz));
		}
		int cur = 0;
		for (auto& it : dp[i])
		{
			addup(cur, it);
			it = cur;
		}
	}
	int sol = 0;
	for (int i = 1; i <= n; i++)
	{
		addup(sol, dp[i].back());
	}
	cout << sol << "\n";
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1026 ms 3768 KB Output is correct
22 Correct 979 ms 3740 KB Output is correct
23 Correct 931 ms 3660 KB Output is correct
24 Correct 1030 ms 3916 KB Output is correct
25 Correct 1018 ms 4040 KB Output is correct
26 Correct 1355 ms 4300 KB Output is correct
27 Correct 1443 ms 4164 KB Output is correct
28 Correct 1392 ms 4140 KB Output is correct
29 Correct 1458 ms 4304 KB Output is correct
30 Correct 1243 ms 4232 KB Output is correct
31 Correct 1225 ms 4180 KB Output is correct
32 Correct 1253 ms 4180 KB Output is correct
33 Correct 1224 ms 4052 KB Output is correct
34 Correct 1206 ms 4212 KB Output is correct
35 Correct 585 ms 3984 KB Output is correct
36 Correct 692 ms 4104 KB Output is correct
37 Correct 667 ms 4172 KB Output is correct
38 Correct 726 ms 4044 KB Output is correct

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 220 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1026 ms 3768 KB Output is correct
22 Correct 979 ms 3740 KB Output is correct
23 Correct 931 ms 3660 KB Output is correct
24 Correct 1030 ms 3916 KB Output is correct
25 Correct 1018 ms 4040 KB Output is correct
26 Correct 1355 ms 4300 KB Output is correct
27 Correct 1443 ms 4164 KB Output is correct
28 Correct 1392 ms 4140 KB Output is correct
29 Correct 1458 ms 4304 KB Output is correct
30 Correct 1243 ms 4232 KB Output is correct
31 Correct 1225 ms 4180 KB Output is correct
32 Correct 1253 ms 4180 KB Output is correct
33 Correct 1224 ms 4052 KB Output is correct
34 Correct 1206 ms 4212 KB Output is correct
35 Correct 585 ms 3984 KB Output is correct
36 Correct 692 ms 4104 KB Output is correct
37 Correct 667 ms 4172 KB Output is correct
38 Correct 726 ms 4044 KB Output is correct
39 Runtime error 220 ms 524288 KB Execution killed with signal 9
40 Halted 0 ms 0 KB -