oj.uz

Submission #200719

# Submission time Handle Problem Language Result Execution time Memory
200719 2020-02-08T04:24:56 Z dimash241 Boat (APIO16_boat) C++17
9 / 100
 69 ms 4344 KB 
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
 
# include <x86intrin.h>
# include <bits/stdc++.h>
 
# include <ext/pb_ds/assoc_container.hpp>
# include <ext/pb_ds/tree_policy.hpp>
 
using namespace __gnu_pbds;
using namespace std;
 
template<typename T> using ordered_set = tree <T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
#define _USE_MATH_DEFINES_
#define ll long long
#define ld long double
#define Accepted 0
#define pb push_back
#define mp make_pair
#define sz(x) (int)(x.size())
#define every(x) x.begin(),x.end()
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define For(i,x,y)  for (ll i = x; i <= y; i ++) 
#define FOr(i,x,y)  for (ll i = x; i >= y; i --)
#define SpeedForce ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
// ROAD to...                                                                                                                                                                                                                Red
 
inline void Input_Output () {
	//freopen(".in", "r", stdin);
   //freopen(".out", "w", stdout);
}
 
const double eps = 0.000001;
const ld pi = acos(-1);
const int maxn = 1e7 + 9;
const int mod = 1e9 + 7;
const ll MOD = 1e18 + 9;
const ll INF = 1e18 + 123;
const int inf = 2e9 + 11;
const int mxn = 1e6 + 9;
const int N = 6e5 + 123;                                          
const int M = 22;
const int pri = 997;
const int Magic = 2101;
 
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, -1, 0, 1};
 
int n;
ll dp[505][1010];
int l[505], r[505];
int vv[N], ptr;
ll inv[N];
ll pw[N];
 
ll bpow (ll a, ll b) {
	ll res = 1;
	while (b > 0) {
		if (b & 1) (res *= a) %= mod;
		(a *= a) %= mod;
		b /= 2;
	}
	return res;
}
 
 
ll C(ll n, int k) {
	ll res = inv[k];
	for (int i = 0; i < k; ++i) {
		res *= (n - i);
		res %= mod;
	}

	res *= pw[k-2];
	res %= mod;
 
	return res;
}      
 
int main () {
   	SpeedForce;
 
	inv[0] = 1;
	pw[0] = 1;
	for (int i = 1; i < 1001;i ++) {
		inv[i] = inv[i-1] * bpow(i, mod - 2) % mod;
		pw[i] = (pw[i-1] + pw[i-1]) % mod;
	}
 
	cin >> n;
 
	for (int i = 1; i <= n; ++i) {
		cin >> l[i] >> r[i];
		r[i]++;
		vv[ptr++] = l[i];
		vv[ptr++] = r[i];
	}
	sort(vv, vv + ptr);
	ptr = unique(vv, vv + ptr) - vv;
	for (int i = 0; i < ptr; ++i) dp[0][i] = 1;
 
	for (int i = 1; i <= n; ++i) {
		for (int j = 1; j < ptr; ++j) if (l[i] <= vv[j-1] && vv[j] <= r[i]) {
			dp[i][j] = (dp[i-1][j-1] * (ll)(vv[j] - vv[j - 1])) % mod;
			for (int k = i - 1, cnt = 1; k > 0; --k) if (l[k] <= vv[j-1] && r[k] >= vv[j]) {
				++cnt;
				dp[i][j] = (dp[i][j] + (ll)dp[k-1][j-1] * C(vv[j] - vv[j-1], cnt));
				if (!C(vv[j] - vv[j-1], cnt)) break;
			}
		}
 
		dp[i][0] = 1;
		for (int j = 1; j < ptr; ++j)
			dp[i][j] = ((ll)dp[i][j] + dp[i - 1][j] + dp[i][j-1] - dp[i-1][j-1] + mod) % mod;
	}

	int ans = (dp[n][ptr-1] - 1 + mod) % mod;
	assert(ans >= 0);
 
	cout << ans << '\n';
	return Accepted;
}
 
// B...a

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 4344 KB Output is correct
2 Correct 11 ms 4344 KB Output is correct
3 Correct 12 ms 4344 KB Output is correct
4 Correct 12 ms 4344 KB Output is correct
5 Correct 11 ms 4344 KB Output is correct
6 Correct 11 ms 4344 KB Output is correct
7 Correct 11 ms 4344 KB Output is correct
8 Correct 11 ms 4344 KB Output is correct
9 Correct 11 ms 4344 KB Output is correct
10 Correct 11 ms 4344 KB Output is correct
11 Correct 11 ms 4344 KB Output is correct
12 Correct 11 ms 4344 KB Output is correct
13 Correct 11 ms 4344 KB Output is correct
14 Correct 11 ms 4344 KB Output is correct
15 Correct 11 ms 4344 KB Output is correct
16 Correct 7 ms 3064 KB Output is correct
17 Correct 7 ms 3068 KB Output is correct
18 Correct 7 ms 3064 KB Output is correct
19 Correct 7 ms 3064 KB Output is correct
20 Correct 8 ms 3064 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 4344 KB Output is correct
2 Correct 11 ms 4344 KB Output is correct
3 Correct 12 ms 4344 KB Output is correct
4 Correct 12 ms 4344 KB Output is correct
5 Correct 11 ms 4344 KB Output is correct
6 Correct 11 ms 4344 KB Output is correct
7 Correct 11 ms 4344 KB Output is correct
8 Correct 11 ms 4344 KB Output is correct
9 Correct 11 ms 4344 KB Output is correct
10 Correct 11 ms 4344 KB Output is correct
11 Correct 11 ms 4344 KB Output is correct
12 Correct 11 ms 4344 KB Output is correct
13 Correct 11 ms 4344 KB Output is correct
14 Correct 11 ms 4344 KB Output is correct
15 Correct 11 ms 4344 KB Output is correct
16 Correct 7 ms 3064 KB Output is correct
17 Correct 7 ms 3068 KB Output is correct
18 Correct 7 ms 3064 KB Output is correct
19 Correct 7 ms 3064 KB Output is correct
20 Correct 8 ms 3064 KB Output is correct
21 Incorrect 69 ms 4344 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 28 ms 892 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 4344 KB Output is correct
2 Correct 11 ms 4344 KB Output is correct
3 Correct 12 ms 4344 KB Output is correct
4 Correct 12 ms 4344 KB Output is correct
5 Correct 11 ms 4344 KB Output is correct
6 Correct 11 ms 4344 KB Output is correct
7 Correct 11 ms 4344 KB Output is correct
8 Correct 11 ms 4344 KB Output is correct
9 Correct 11 ms 4344 KB Output is correct
10 Correct 11 ms 4344 KB Output is correct
11 Correct 11 ms 4344 KB Output is correct
12 Correct 11 ms 4344 KB Output is correct
13 Correct 11 ms 4344 KB Output is correct
14 Correct 11 ms 4344 KB Output is correct
15 Correct 11 ms 4344 KB Output is correct
16 Correct 7 ms 3064 KB Output is correct
17 Correct 7 ms 3068 KB Output is correct
18 Correct 7 ms 3064 KB Output is correct
19 Correct 7 ms 3064 KB Output is correct
20 Correct 8 ms 3064 KB Output is correct
21 Incorrect 69 ms 4344 KB Output isn't correct
22 Halted 0 ms 0 KB -