oj.uz

Submission #724381

# Submission time Handle Problem Language Result Execution time Memory
724381 2023-04-15T07:18:06 Z sunwukong123 Boat (APIO16_boat) C++14
58 / 100
 2000 ms 35496 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long 
#define FOR(i,s,e) for(int i = s; i <= (int)e; ++i)
#define DEC(i,s,e) for(int i = s; i >= (int)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{"  << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define reach 
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first 
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <int, int> pi;
typedef tuple<int,int,int> ti3;
typedef tuple<int,int,int,int> ti4;
int rand(int a, int b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (long long)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = 1005;
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt,tune=native")
#pragma GCC optimize("O3,unroll-loops")
int n;
vector<int> points;
int L[MAXN],R[MAXN];
int dp[MAXN][MAXN]; // dp(i,c)=number of ways to reach the ith segment with c objects inside the ith segment
int S[MAXN];
int sz[MAXN];
int qexp(int a, int b, int mod) {
	a%=mod;
	int res = 1;
	while(b) {
		if(b&1)res=res*a%mod;
		a=a*a%mod;
		b>>=1;
	}
	return res;
}
struct hash_pair {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
    size_t operator()(pair<uint64_t,uint64_t> x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x.first + FIXED_RANDOM)^(splitmix64(x.second + FIXED_RANDOM) >> 1);
    }
};

unordered_map<pi,int,hash_pair>memo;
int choose(int n, int k) {
	auto it=memo.find({n,k});
	if(it!=memo.end())return it->s;
	exit(0);
    int x = 1, y = 1;
    FOR(i,0,k-1) {
        y*=n-i;
        x*=k-i;
        y%=MOD;
        x%=MOD;
    }
    return memo[{n,k}]=(y*qexp(x,MOD-2,MOD)) % MOD;
}
int arr[MAXN];
void precomp(int n,int mx) {
	int x=1,y=1;
	FOR(i,1,mx) {
		y*=n-i+1;
		x*=i;
		y%=MOD;
		x%=MOD;
		memo[{n,i}]=(y*qexp(x,MOD-2,MOD)) % MOD;
	}
}
int32_t main() 
{
	IAMSPEED
	
	cin >> n;
	FOR(i,1,n){
		cin >> L[i] >> R[i];
		points.pb(L[i]);
		points.pb(R[i]+1);
	}
	points.pb(-inf);
	sort(all(points)); 
	points.resize(unique(all(points))-points.begin());

	// my ith segment is points[i] to points[i+1]
	int m=points.size();
	FOR(i,0,m-2)sz[i]=points[i+1]-points[i];
	FOR(i,1,m-2) {
		precomp(sz[i],min(sz[i],n));
	}
	FOR(i,0,m-1)S[i]=1;
	FOR(i,1,n) {

		int ls=lower_bound(all(points),L[i])-points.begin();
		int rs=lower_bound(all(points),R[i]+1)-points.begin();

		DEC(j,rs-1,ls){
			DEC(k,min({i,sz[j],n}),1){ 
				if(k>1)dp[j][k]=(dp[j][k]+dp[j][k-1])%MOD;
				else if(j)dp[j][k]=(dp[j][k]+S[j-1])%MOD;
			}
		}
		
		memset(S,0,sizeof S);

		DEC(j,rs-1,ls){
			int val = 0;
			if(j==0){
				val=1;
			}
			FOR(k,1,min({i,n,sz[j]})){
				val=(val+dp[j][k]*choose(sz[j],k)%MOD)%MOD;
			}
			arr[j]=val;
		}
		FOR(j,0,m-1){
			if(j)S[j]=(S[j-1]+arr[j])%MOD;
			else S[j]=1;
		}

	}
	cout<<(S[m-1]-1+MOD)%MOD;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 16840 KB Output is correct
2 Correct 142 ms 16732 KB Output is correct
3 Correct 125 ms 16844 KB Output is correct
4 Correct 115 ms 16764 KB Output is correct
5 Correct 123 ms 16740 KB Output is correct
6 Correct 111 ms 16808 KB Output is correct
7 Correct 114 ms 16756 KB Output is correct
8 Correct 113 ms 16768 KB Output is correct
9 Correct 112 ms 16860 KB Output is correct
10 Correct 123 ms 16904 KB Output is correct
11 Correct 115 ms 16912 KB Output is correct
12 Correct 126 ms 16780 KB Output is correct
13 Correct 110 ms 16764 KB Output is correct
14 Correct 107 ms 16784 KB Output is correct
15 Correct 113 ms 16800 KB Output is correct
16 Correct 14 ms 3428 KB Output is correct
17 Correct 16 ms 3556 KB Output is correct
18 Correct 15 ms 3428 KB Output is correct
19 Correct 17 ms 3564 KB Output is correct
20 Correct 15 ms 3480 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 16840 KB Output is correct
2 Correct 142 ms 16732 KB Output is correct
3 Correct 125 ms 16844 KB Output is correct
4 Correct 115 ms 16764 KB Output is correct
5 Correct 123 ms 16740 KB Output is correct
6 Correct 111 ms 16808 KB Output is correct
7 Correct 114 ms 16756 KB Output is correct
8 Correct 113 ms 16768 KB Output is correct
9 Correct 112 ms 16860 KB Output is correct
10 Correct 123 ms 16904 KB Output is correct
11 Correct 115 ms 16912 KB Output is correct
12 Correct 126 ms 16780 KB Output is correct
13 Correct 110 ms 16764 KB Output is correct
14 Correct 107 ms 16784 KB Output is correct
15 Correct 113 ms 16800 KB Output is correct
16 Correct 14 ms 3428 KB Output is correct
17 Correct 16 ms 3556 KB Output is correct
18 Correct 15 ms 3428 KB Output is correct
19 Correct 17 ms 3564 KB Output is correct
20 Correct 15 ms 3480 KB Output is correct
21 Correct 32 ms 4132 KB Output is correct
22 Correct 35 ms 4140 KB Output is correct
23 Correct 32 ms 4052 KB Output is correct
24 Correct 40 ms 4056 KB Output is correct
25 Correct 38 ms 4052 KB Output is correct
26 Correct 35 ms 3916 KB Output is correct
27 Correct 34 ms 4008 KB Output is correct
28 Correct 34 ms 3848 KB Output is correct
29 Correct 34 ms 3844 KB Output is correct
30 Correct 122 ms 18024 KB Output is correct
31 Correct 106 ms 17804 KB Output is correct
32 Correct 124 ms 18140 KB Output is correct
33 Correct 115 ms 18160 KB Output is correct
34 Correct 112 ms 17860 KB Output is correct
35 Correct 112 ms 17760 KB Output is correct
36 Correct 111 ms 18200 KB Output is correct
37 Correct 122 ms 18236 KB Output is correct
38 Correct 108 ms 18064 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 2404 KB Output is correct
2 Correct 18 ms 2356 KB Output is correct
3 Correct 19 ms 2396 KB Output is correct
4 Correct 22 ms 2400 KB Output is correct
5 Correct 20 ms 2408 KB Output is correct
6 Correct 28 ms 2332 KB Output is correct
7 Correct 28 ms 2380 KB Output is correct
8 Correct 26 ms 2376 KB Output is correct
9 Correct 29 ms 2404 KB Output is correct
10 Correct 29 ms 2388 KB Output is correct
11 Correct 20 ms 2296 KB Output is correct
12 Correct 17 ms 2380 KB Output is correct
13 Correct 18 ms 2284 KB Output is correct
14 Correct 22 ms 2388 KB Output is correct
15 Correct 20 ms 2388 KB Output is correct
16 Correct 8 ms 1364 KB Output is correct
17 Correct 8 ms 1364 KB Output is correct
18 Correct 9 ms 1364 KB Output is correct
19 Correct 9 ms 1364 KB Output is correct
20 Correct 11 ms 1376 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 16840 KB Output is correct
2 Correct 142 ms 16732 KB Output is correct
3 Correct 125 ms 16844 KB Output is correct
4 Correct 115 ms 16764 KB Output is correct
5 Correct 123 ms 16740 KB Output is correct
6 Correct 111 ms 16808 KB Output is correct
7 Correct 114 ms 16756 KB Output is correct
8 Correct 113 ms 16768 KB Output is correct
9 Correct 112 ms 16860 KB Output is correct
10 Correct 123 ms 16904 KB Output is correct
11 Correct 115 ms 16912 KB Output is correct
12 Correct 126 ms 16780 KB Output is correct
13 Correct 110 ms 16764 KB Output is correct
14 Correct 107 ms 16784 KB Output is correct
15 Correct 113 ms 16800 KB Output is correct
16 Correct 14 ms 3428 KB Output is correct
17 Correct 16 ms 3556 KB Output is correct
18 Correct 15 ms 3428 KB Output is correct
19 Correct 17 ms 3564 KB Output is correct
20 Correct 15 ms 3480 KB Output is correct
21 Correct 32 ms 4132 KB Output is correct
22 Correct 35 ms 4140 KB Output is correct
23 Correct 32 ms 4052 KB Output is correct
24 Correct 40 ms 4056 KB Output is correct
25 Correct 38 ms 4052 KB Output is correct
26 Correct 35 ms 3916 KB Output is correct
27 Correct 34 ms 4008 KB Output is correct
28 Correct 34 ms 3848 KB Output is correct
29 Correct 34 ms 3844 KB Output is correct
30 Correct 122 ms 18024 KB Output is correct
31 Correct 106 ms 17804 KB Output is correct
32 Correct 124 ms 18140 KB Output is correct
33 Correct 115 ms 18160 KB Output is correct
34 Correct 112 ms 17860 KB Output is correct
35 Correct 112 ms 17760 KB Output is correct
36 Correct 111 ms 18200 KB Output is correct
37 Correct 122 ms 18236 KB Output is correct
38 Correct 108 ms 18064 KB Output is correct
39 Correct 21 ms 2404 KB Output is correct
40 Correct 18 ms 2356 KB Output is correct
41 Correct 19 ms 2396 KB Output is correct
42 Correct 22 ms 2400 KB Output is correct
43 Correct 20 ms 2408 KB Output is correct
44 Correct 28 ms 2332 KB Output is correct
45 Correct 28 ms 2380 KB Output is correct
46 Correct 26 ms 2376 KB Output is correct
47 Correct 29 ms 2404 KB Output is correct
48 Correct 29 ms 2388 KB Output is correct
49 Correct 20 ms 2296 KB Output is correct
50 Correct 17 ms 2380 KB Output is correct
51 Correct 18 ms 2284 KB Output is correct
52 Correct 22 ms 2388 KB Output is correct
53 Correct 20 ms 2388 KB Output is correct
54 Correct 8 ms 1364 KB Output is correct
55 Correct 8 ms 1364 KB Output is correct
56 Correct 9 ms 1364 KB Output is correct
57 Correct 9 ms 1364 KB Output is correct
58 Correct 11 ms 1376 KB Output is correct
59 Execution timed out 2045 ms 35496 KB Time limit exceeded
60 Halted 0 ms 0 KB -