oj.uz

Submission #724368

# Submission time Handle Problem Language Result Execution time Memory
724368 2023-04-15T06:55:18 Z sunwukong123 Boat (APIO16_boat) C++14
27 / 100
 2000 ms 16520 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;
}
map<pi,int>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;
}
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(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;
				db3(j,k,dp[j][k]);
			}
		}
		
		memset(S,0,sizeof S);
		FOR(j,0,m-1){
			int val = 0;
			if(j==0){
				val=1;
			}
			FOR(k,1,min(n,sz[j])){
				val=(val+dp[j][k]*choose(sz[j],k)%MOD)%MOD;
			}
			if(j)S[j]=(S[j-1]+val)%MOD;
			else S[j]=1;
		}
	}
	cout<<(S[m-1]-1+MOD)%MOD;
}

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2073 ms 16520 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2073 ms 16520 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 141 ms 2508 KB Output is correct
2 Correct 144 ms 2528 KB Output is correct
3 Correct 137 ms 2520 KB Output is correct
4 Correct 133 ms 2488 KB Output is correct
5 Correct 132 ms 2656 KB Output is correct
6 Correct 139 ms 2484 KB Output is correct
7 Correct 133 ms 2508 KB Output is correct
8 Correct 138 ms 2508 KB Output is correct
9 Correct 134 ms 2504 KB Output is correct
10 Correct 135 ms 2528 KB Output is correct
11 Correct 131 ms 2524 KB Output is correct
12 Correct 133 ms 2532 KB Output is correct
13 Correct 132 ms 2516 KB Output is correct
14 Correct 134 ms 2508 KB Output is correct
15 Correct 132 ms 2536 KB Output is correct
16 Correct 56 ms 1364 KB Output is correct
17 Correct 56 ms 1404 KB Output is correct
18 Correct 56 ms 1368 KB Output is correct
19 Correct 57 ms 1364 KB Output is correct
20 Correct 60 ms 1388 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2073 ms 16520 KB Time limit exceeded
2 Halted 0 ms 0 KB -