oj.uz

Submission #724372

# Submission time Handle Problem Language Result Execution time Memory
724372 2023-04-15T07:00:37 Z sunwukong123 Boat (APIO16_boat) C++14
58 / 100
 2000 ms 24252 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;
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;
    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];
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,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 5 ms 2388 KB Output is correct
2 Correct 5 ms 2396 KB Output is correct
3 Correct 5 ms 2388 KB Output is correct
4 Correct 5 ms 2352 KB Output is correct
5 Correct 5 ms 2388 KB Output is correct
6 Correct 5 ms 2392 KB Output is correct
7 Correct 5 ms 2388 KB Output is correct
8 Correct 5 ms 2344 KB Output is correct
9 Correct 5 ms 2388 KB Output is correct
10 Correct 5 ms 2400 KB Output is correct
11 Correct 5 ms 2388 KB Output is correct
12 Correct 5 ms 2392 KB Output is correct
13 Correct 5 ms 2388 KB Output is correct
14 Correct 5 ms 2388 KB Output is correct
15 Correct 6 ms 2300 KB Output is correct
16 Correct 2 ms 724 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2388 KB Output is correct
2 Correct 5 ms 2396 KB Output is correct
3 Correct 5 ms 2388 KB Output is correct
4 Correct 5 ms 2352 KB Output is correct
5 Correct 5 ms 2388 KB Output is correct
6 Correct 5 ms 2392 KB Output is correct
7 Correct 5 ms 2388 KB Output is correct
8 Correct 5 ms 2344 KB Output is correct
9 Correct 5 ms 2388 KB Output is correct
10 Correct 5 ms 2400 KB Output is correct
11 Correct 5 ms 2388 KB Output is correct
12 Correct 5 ms 2392 KB Output is correct
13 Correct 5 ms 2388 KB Output is correct
14 Correct 5 ms 2388 KB Output is correct
15 Correct 6 ms 2300 KB Output is correct
16 Correct 2 ms 724 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 34 ms 4100 KB Output is correct
22 Correct 35 ms 4036 KB Output is correct
23 Correct 30 ms 4004 KB Output is correct
24 Correct 33 ms 3924 KB Output is correct
25 Correct 35 ms 4052 KB Output is correct
26 Correct 32 ms 3908 KB Output is correct
27 Correct 29 ms 3924 KB Output is correct
28 Correct 38 ms 3828 KB Output is correct
29 Correct 33 ms 3796 KB Output is correct
30 Correct 141 ms 11964 KB Output is correct
31 Correct 147 ms 12072 KB Output is correct
32 Correct 146 ms 12092 KB Output is correct
33 Correct 143 ms 12100 KB Output is correct
34 Correct 136 ms 11888 KB Output is correct
35 Correct 136 ms 11844 KB Output is correct
36 Correct 143 ms 12060 KB Output is correct
37 Correct 140 ms 11988 KB Output is correct
38 Correct 140 ms 11940 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 2260 KB Output is correct
2 Correct 22 ms 2388 KB Output is correct
3 Correct 22 ms 2376 KB Output is correct
4 Correct 23 ms 2364 KB Output is correct
5 Correct 24 ms 2288 KB Output is correct
6 Correct 29 ms 2260 KB Output is correct
7 Correct 30 ms 2260 KB Output is correct
8 Correct 29 ms 2264 KB Output is correct
9 Correct 33 ms 2348 KB Output is correct
10 Correct 30 ms 2308 KB Output is correct
11 Correct 21 ms 2168 KB Output is correct
12 Correct 19 ms 2260 KB Output is correct
13 Correct 18 ms 2176 KB Output is correct
14 Correct 20 ms 2260 KB Output is correct
15 Correct 23 ms 2260 KB Output is correct
16 Correct 11 ms 1332 KB Output is correct
17 Correct 9 ms 1236 KB Output is correct
18 Correct 10 ms 1236 KB Output is correct
19 Correct 9 ms 1272 KB Output is correct
20 Correct 11 ms 1272 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2388 KB Output is correct
2 Correct 5 ms 2396 KB Output is correct
3 Correct 5 ms 2388 KB Output is correct
4 Correct 5 ms 2352 KB Output is correct
5 Correct 5 ms 2388 KB Output is correct
6 Correct 5 ms 2392 KB Output is correct
7 Correct 5 ms 2388 KB Output is correct
8 Correct 5 ms 2344 KB Output is correct
9 Correct 5 ms 2388 KB Output is correct
10 Correct 5 ms 2400 KB Output is correct
11 Correct 5 ms 2388 KB Output is correct
12 Correct 5 ms 2392 KB Output is correct
13 Correct 5 ms 2388 KB Output is correct
14 Correct 5 ms 2388 KB Output is correct
15 Correct 6 ms 2300 KB Output is correct
16 Correct 2 ms 724 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 34 ms 4100 KB Output is correct
22 Correct 35 ms 4036 KB Output is correct
23 Correct 30 ms 4004 KB Output is correct
24 Correct 33 ms 3924 KB Output is correct
25 Correct 35 ms 4052 KB Output is correct
26 Correct 32 ms 3908 KB Output is correct
27 Correct 29 ms 3924 KB Output is correct
28 Correct 38 ms 3828 KB Output is correct
29 Correct 33 ms 3796 KB Output is correct
30 Correct 141 ms 11964 KB Output is correct
31 Correct 147 ms 12072 KB Output is correct
32 Correct 146 ms 12092 KB Output is correct
33 Correct 143 ms 12100 KB Output is correct
34 Correct 136 ms 11888 KB Output is correct
35 Correct 136 ms 11844 KB Output is correct
36 Correct 143 ms 12060 KB Output is correct
37 Correct 140 ms 11988 KB Output is correct
38 Correct 140 ms 11940 KB Output is correct
39 Correct 24 ms 2260 KB Output is correct
40 Correct 22 ms 2388 KB Output is correct
41 Correct 22 ms 2376 KB Output is correct
42 Correct 23 ms 2364 KB Output is correct
43 Correct 24 ms 2288 KB Output is correct
44 Correct 29 ms 2260 KB Output is correct
45 Correct 30 ms 2260 KB Output is correct
46 Correct 29 ms 2264 KB Output is correct
47 Correct 33 ms 2348 KB Output is correct
48 Correct 30 ms 2308 KB Output is correct
49 Correct 21 ms 2168 KB Output is correct
50 Correct 19 ms 2260 KB Output is correct
51 Correct 18 ms 2176 KB Output is correct
52 Correct 20 ms 2260 KB Output is correct
53 Correct 23 ms 2260 KB Output is correct
54 Correct 11 ms 1332 KB Output is correct
55 Correct 9 ms 1236 KB Output is correct
56 Correct 10 ms 1236 KB Output is correct
57 Correct 9 ms 1272 KB Output is correct
58 Correct 11 ms 1272 KB Output is correct
59 Execution timed out 2061 ms 24252 KB Time limit exceeded
60 Halted 0 ms 0 KB -