oj.uz

Submission #741932

# Submission time Handle Problem Language Result Execution time Memory
741932 2023-05-15T06:02:01 Z vjudge1 Boat (APIO16_boat) C++17
58 / 100
 2000 ms 34676 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 M[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({M[j]+1,i,sz[j]}),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;
				if(dp[j][k])chmax(M[j],k);
			}
		}
		
		memset(S,0,sizeof S);
 
		DEC(j,rs-1,ls){
			int val = 0;
			if(j==0){
				val=1;
			}
			FOR(k,1,min({M[j],i,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 126 ms 16884 KB Output is correct
2 Correct 104 ms 16828 KB Output is correct
3 Correct 107 ms 16816 KB Output is correct
4 Correct 105 ms 16844 KB Output is correct
5 Correct 111 ms 16868 KB Output is correct
6 Correct 107 ms 16828 KB Output is correct
7 Correct 123 ms 16760 KB Output is correct
8 Correct 134 ms 16760 KB Output is correct
9 Correct 102 ms 16864 KB Output is correct
10 Correct 103 ms 16752 KB Output is correct
11 Correct 118 ms 16876 KB Output is correct
12 Correct 121 ms 16880 KB Output is correct
13 Correct 123 ms 16860 KB Output is correct
14 Correct 115 ms 16908 KB Output is correct
15 Correct 110 ms 16840 KB Output is correct
16 Correct 15 ms 3428 KB Output is correct
17 Correct 16 ms 3560 KB Output is correct
18 Correct 16 ms 3472 KB Output is correct
19 Correct 15 ms 3556 KB Output is correct
20 Correct 17 ms 3492 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 126 ms 16884 KB Output is correct
2 Correct 104 ms 16828 KB Output is correct
3 Correct 107 ms 16816 KB Output is correct
4 Correct 105 ms 16844 KB Output is correct
5 Correct 111 ms 16868 KB Output is correct
6 Correct 107 ms 16828 KB Output is correct
7 Correct 123 ms 16760 KB Output is correct
8 Correct 134 ms 16760 KB Output is correct
9 Correct 102 ms 16864 KB Output is correct
10 Correct 103 ms 16752 KB Output is correct
11 Correct 118 ms 16876 KB Output is correct
12 Correct 121 ms 16880 KB Output is correct
13 Correct 123 ms 16860 KB Output is correct
14 Correct 115 ms 16908 KB Output is correct
15 Correct 110 ms 16840 KB Output is correct
16 Correct 15 ms 3428 KB Output is correct
17 Correct 16 ms 3560 KB Output is correct
18 Correct 16 ms 3472 KB Output is correct
19 Correct 15 ms 3556 KB Output is correct
20 Correct 17 ms 3492 KB Output is correct
21 Correct 36 ms 4124 KB Output is correct
22 Correct 37 ms 4056 KB Output is correct
23 Correct 32 ms 4088 KB Output is correct
24 Correct 37 ms 4188 KB Output is correct
25 Correct 36 ms 4096 KB Output is correct
26 Correct 40 ms 3968 KB Output is correct
27 Correct 35 ms 3924 KB Output is correct
28 Correct 40 ms 3848 KB Output is correct
29 Correct 48 ms 3864 KB Output is correct
30 Correct 110 ms 17032 KB Output is correct
31 Correct 115 ms 16924 KB Output is correct
32 Correct 140 ms 17184 KB Output is correct
33 Correct 119 ms 17280 KB Output is correct
34 Correct 124 ms 16884 KB Output is correct
35 Correct 127 ms 16964 KB Output is correct
36 Correct 119 ms 17308 KB Output is correct
37 Correct 124 ms 17448 KB Output is correct
38 Correct 128 ms 17048 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 2388 KB Output is correct
2 Correct 11 ms 2292 KB Output is correct
3 Correct 12 ms 2228 KB Output is correct
4 Correct 13 ms 2260 KB Output is correct
5 Correct 14 ms 2260 KB Output is correct
6 Correct 23 ms 2288 KB Output is correct
7 Correct 21 ms 2288 KB Output is correct
8 Correct 21 ms 2304 KB Output is correct
9 Correct 22 ms 2260 KB Output is correct
10 Correct 23 ms 2336 KB Output is correct
11 Correct 14 ms 2260 KB Output is correct
12 Correct 11 ms 2320 KB Output is correct
13 Correct 12 ms 2260 KB Output is correct
14 Correct 12 ms 2260 KB Output is correct
15 Correct 13 ms 2260 KB Output is correct
16 Correct 7 ms 1236 KB Output is correct
17 Correct 5 ms 1236 KB Output is correct
18 Correct 6 ms 1236 KB Output is correct
19 Correct 6 ms 1236 KB Output is correct
20 Correct 7 ms 1236 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 126 ms 16884 KB Output is correct
2 Correct 104 ms 16828 KB Output is correct
3 Correct 107 ms 16816 KB Output is correct
4 Correct 105 ms 16844 KB Output is correct
5 Correct 111 ms 16868 KB Output is correct
6 Correct 107 ms 16828 KB Output is correct
7 Correct 123 ms 16760 KB Output is correct
8 Correct 134 ms 16760 KB Output is correct
9 Correct 102 ms 16864 KB Output is correct
10 Correct 103 ms 16752 KB Output is correct
11 Correct 118 ms 16876 KB Output is correct
12 Correct 121 ms 16880 KB Output is correct
13 Correct 123 ms 16860 KB Output is correct
14 Correct 115 ms 16908 KB Output is correct
15 Correct 110 ms 16840 KB Output is correct
16 Correct 15 ms 3428 KB Output is correct
17 Correct 16 ms 3560 KB Output is correct
18 Correct 16 ms 3472 KB Output is correct
19 Correct 15 ms 3556 KB Output is correct
20 Correct 17 ms 3492 KB Output is correct
21 Correct 36 ms 4124 KB Output is correct
22 Correct 37 ms 4056 KB Output is correct
23 Correct 32 ms 4088 KB Output is correct
24 Correct 37 ms 4188 KB Output is correct
25 Correct 36 ms 4096 KB Output is correct
26 Correct 40 ms 3968 KB Output is correct
27 Correct 35 ms 3924 KB Output is correct
28 Correct 40 ms 3848 KB Output is correct
29 Correct 48 ms 3864 KB Output is correct
30 Correct 110 ms 17032 KB Output is correct
31 Correct 115 ms 16924 KB Output is correct
32 Correct 140 ms 17184 KB Output is correct
33 Correct 119 ms 17280 KB Output is correct
34 Correct 124 ms 16884 KB Output is correct
35 Correct 127 ms 16964 KB Output is correct
36 Correct 119 ms 17308 KB Output is correct
37 Correct 124 ms 17448 KB Output is correct
38 Correct 128 ms 17048 KB Output is correct
39 Correct 15 ms 2388 KB Output is correct
40 Correct 11 ms 2292 KB Output is correct
41 Correct 12 ms 2228 KB Output is correct
42 Correct 13 ms 2260 KB Output is correct
43 Correct 14 ms 2260 KB Output is correct
44 Correct 23 ms 2288 KB Output is correct
45 Correct 21 ms 2288 KB Output is correct
46 Correct 21 ms 2304 KB Output is correct
47 Correct 22 ms 2260 KB Output is correct
48 Correct 23 ms 2336 KB Output is correct
49 Correct 14 ms 2260 KB Output is correct
50 Correct 11 ms 2320 KB Output is correct
51 Correct 12 ms 2260 KB Output is correct
52 Correct 12 ms 2260 KB Output is correct
53 Correct 13 ms 2260 KB Output is correct
54 Correct 7 ms 1236 KB Output is correct
55 Correct 5 ms 1236 KB Output is correct
56 Correct 6 ms 1236 KB Output is correct
57 Correct 6 ms 1236 KB Output is correct
58 Correct 7 ms 1236 KB Output is correct
59 Execution timed out 2048 ms 34676 KB Time limit exceeded
60 Halted 0 ms 0 KB -