Submission #815184

# Submission time Handle Problem Language Result Execution time Memory
815184 2023-08-08T12:59:50 Z Antekb Sightseeing in Kyoto (JOI22_kyoto) C++17
40 / 100
2000 ms 8964 KB
#include<bits/stdc++.h>

#pragma GCC optimize("Ofast")
//#pragma GCC optimize("trapv")
 
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define pp(x) pop_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) (x).begin(), (x).end()
#define rev(x) reverse(all(x))
#define sor(x) sort(all(x))
#define sz(x) (int)(x).size()
#define rsz(x) resize(x)
 
using namespace std;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~~
 
template <typename H, typename T> 
ostream& operator<<(ostream& os, pair<H, T> m){
	return os <<"("<< m.st<<", "<<m.nd<<")";
}
template <typename H> 
ostream& operator<<(ostream& os, vector<H> V){
	os<<"{";
	for(int i=0; i<V.size(); i++){
		if(i)os<<", ";
		os<<V[i];
	}
	os<<"}";
	return os;
}
 
void debug(){cerr<<"\n";}
template <typename H, typename... T>
void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);}
#define deb(x...) cerr<<#x<<" = ";debug(x);
//#define deb(x...) ;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~
 
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii > vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef string str;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

 
#define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
 
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int K=19, N=1<<K, INF=1e9+5, mod2=1e9+7, mod=998244353;

struct modint{
	int n=0;
	modint(){}
	modint(ll x){
		n=x%mod;
		if(n<0)n+=mod;
	}
	operator int(){
		return n;
	}
	modint operator+(modint a){a.n = n+a.n; if(a.n>=mod)a.n-=mod;return a;}
	modint operator+=(modint a){return (*this)=(*this)+a;}
	modint operator-(modint a){a.n = n-a.n; if(a.n<0)a.n+=mod;return a;}
	modint operator-=(modint a){return (*this)=(*this)-a;}
	modint operator*(modint a){a.n = (n*1ll*a.n)%mod; return a;}
	modint operator*=(modint a){return (*this)=(*this)*a;}
	modint operator^(const ll &m)const{
		modint a(1);
		if(m==0)return a;
		if(m==1)return (*this);
		a=(*this)^(m/2);
		a*=a;
		return a*((*this)^(m&1));
	}
	modint odw(){
		return (*this)^((ll)mod-2);
	}
	modint operator/(modint a){return (*this)*a.odw();}
	modint operator/=(modint a){return (*this)=(*this)/a;}
	bool operator==(modint a){return a.n==n;}
	friend ostream& operator<<(ostream& os, modint m) {
		return os << m.n; 
	}
};
modint fact[N], fact2[N];
typedef vector<modint> vm;
void factinit(){
    fact[0]=1;
    for(int i=1; i<N; i++){
        fact[i]=(fact[i-1]*modint(i))%mod;
    }
    fact2[N-1]=fact[N-1].odw();
    for(int i=N-2; i>=0; i--){
    	fact2[i]=(fact2[i+1]*modint(i+1))%mod;
    }
}
modint npok(int _n, int _k){
 	if(_n<_k)return 0;
    return fact[_n]*fact2[_k]*fact2[_n-_k];
}
int los(int a, int b){
	return a+(rng())%(b-a+1);
}

int main(){
	//factinit();
	//BOOST
	int n, m;
	cin>>n>>m;
	vi A(n), B(m);
	for(int &i:A)cin>>i;
	for(int &i:B)cin>>i;
	vii V, V2;
	for(int i=0; i<n; i++){
		if(V.size()<=1){
			V.eb(i, A[i]);
		}
		else{
			while(V.size()>1){
				if((V.end()[-1].st-V.end()[-2].st)*1ll*A[i]+(i-V.end()[-1].st)*1ll*V.end()[-2].nd
					<=V.end()[-1].nd*(i-V.end()[-2].st)){
					V.pp();
				}
				else break;
			}
			V.eb(i, A[i]);
		}
	}
	for(int i=0; i<m; i++){
		if(V2.size()<=1){
			V2.eb(i, B[i]);
		}
		else{
			while(V2.size()>1){
				//deb((V.end()[-1].st-V.end()[-2].st)*1ll*(V.end()[-1].nd-A[i]));
				if((V2.end()[-1].st-V2.end()[-2].st)*1ll*B[i]+(i-V2.end()[-1].st)*1ll*V2.end()[-2].nd
					<=V2.end()[-1].nd*(i-V2.end()[-2].st)){
					V2.pp();
				}
				else break;
			}
			V2.eb(i, B[i]);
		}
	}
	vector<vector<ll> > dp(2, vector<ll>(V2.size(), 1e18));
	dp[0][0]=0;
	vector<ll> cost(V.size()), cost2(V2.size());
	for(int i=1; i<V.size(); i++){
		cost[i]=V[i].st-V[i-1].st;
	}
	for(int i=1; i<V2.size(); i++){
		cost2[i]=V2[i].st-V2[i-1].st;
	}
	for(int i=0; i<V.size(); i++){
		bool par=i&1, par2=par^1;
		for(int j=0; j<V2.size(); j++){
			if(i||j)dp[par][j]=1e18;
			if(i)dp[par][j]=min(dp[par][j], dp[par2][j]+V2[j].nd*cost[i]);
			if(j)dp[par][j]=min(dp[par][j], dp[par][j-1]+V[i].nd*cost2[j]);
			//deb(i, j, dp[i&1][j]);
		}
	}
	cout<<dp[(V.size()&1)^1][V2.size()-1];
}

Compilation message

kyoto.cpp: In function 'int main()':
kyoto.cpp:165:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  165 |  for(int i=1; i<V.size(); i++){
      |               ~^~~~~~~~~
kyoto.cpp:168:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  168 |  for(int i=1; i<V2.size(); i++){
      |               ~^~~~~~~~~~
kyoto.cpp:171:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  171 |  for(int i=0; i<V.size(); i++){
      |               ~^~~~~~~~~
kyoto.cpp:173:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  173 |   for(int j=0; j<V2.size(); j++){
      |                ~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4404 KB Output is correct
2 Correct 4 ms 4308 KB Output is correct
3 Correct 4 ms 4392 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 4 ms 4308 KB Output is correct
8 Correct 4 ms 4328 KB Output is correct
9 Correct 5 ms 4436 KB Output is correct
10 Correct 5 ms 4436 KB Output is correct
11 Correct 5 ms 4436 KB Output is correct
12 Correct 5 ms 4436 KB Output is correct
13 Correct 8 ms 4436 KB Output is correct
14 Correct 5 ms 4436 KB Output is correct
15 Correct 5 ms 4436 KB Output is correct
16 Correct 5 ms 4436 KB Output is correct
17 Correct 5 ms 4432 KB Output is correct
18 Correct 4 ms 4308 KB Output is correct
19 Correct 4 ms 4404 KB Output is correct
20 Correct 4 ms 4380 KB Output is correct
21 Correct 4 ms 4404 KB Output is correct
22 Correct 4 ms 4308 KB Output is correct
23 Correct 4 ms 4308 KB Output is correct
24 Correct 4 ms 4344 KB Output is correct
25 Correct 4 ms 4308 KB Output is correct
26 Correct 4 ms 4408 KB Output is correct
27 Correct 4 ms 4308 KB Output is correct
28 Correct 3 ms 4308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4404 KB Output is correct
2 Correct 4 ms 4412 KB Output is correct
3 Correct 4 ms 4308 KB Output is correct
4 Correct 16 ms 4948 KB Output is correct
5 Correct 15 ms 4948 KB Output is correct
6 Correct 9 ms 4564 KB Output is correct
7 Correct 39 ms 5940 KB Output is correct
8 Correct 35 ms 5944 KB Output is correct
9 Correct 38 ms 5932 KB Output is correct
10 Correct 35 ms 5928 KB Output is correct
11 Correct 32 ms 5836 KB Output is correct
12 Correct 34 ms 5940 KB Output is correct
13 Correct 35 ms 5844 KB Output is correct
14 Correct 33 ms 5944 KB Output is correct
15 Correct 39 ms 6076 KB Output is correct
16 Correct 4 ms 4308 KB Output is correct
17 Correct 4 ms 4308 KB Output is correct
18 Correct 4 ms 4408 KB Output is correct
19 Correct 4 ms 4412 KB Output is correct
20 Correct 4 ms 4408 KB Output is correct
21 Correct 4 ms 4380 KB Output is correct
22 Correct 3 ms 4308 KB Output is correct
23 Correct 5 ms 4588 KB Output is correct
24 Correct 4 ms 4308 KB Output is correct
25 Correct 5 ms 4308 KB Output is correct
26 Correct 4 ms 4308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4404 KB Output is correct
2 Correct 4 ms 4308 KB Output is correct
3 Correct 4 ms 4392 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4308 KB Output is correct
6 Correct 4 ms 4308 KB Output is correct
7 Correct 4 ms 4308 KB Output is correct
8 Correct 4 ms 4328 KB Output is correct
9 Correct 5 ms 4436 KB Output is correct
10 Correct 5 ms 4436 KB Output is correct
11 Correct 5 ms 4436 KB Output is correct
12 Correct 5 ms 4436 KB Output is correct
13 Correct 8 ms 4436 KB Output is correct
14 Correct 5 ms 4436 KB Output is correct
15 Correct 5 ms 4436 KB Output is correct
16 Correct 5 ms 4436 KB Output is correct
17 Correct 5 ms 4432 KB Output is correct
18 Correct 4 ms 4308 KB Output is correct
19 Correct 4 ms 4404 KB Output is correct
20 Correct 4 ms 4380 KB Output is correct
21 Correct 4 ms 4404 KB Output is correct
22 Correct 4 ms 4308 KB Output is correct
23 Correct 4 ms 4308 KB Output is correct
24 Correct 4 ms 4344 KB Output is correct
25 Correct 4 ms 4308 KB Output is correct
26 Correct 4 ms 4408 KB Output is correct
27 Correct 4 ms 4308 KB Output is correct
28 Correct 3 ms 4308 KB Output is correct
29 Correct 4 ms 4404 KB Output is correct
30 Correct 4 ms 4412 KB Output is correct
31 Correct 4 ms 4308 KB Output is correct
32 Correct 16 ms 4948 KB Output is correct
33 Correct 15 ms 4948 KB Output is correct
34 Correct 9 ms 4564 KB Output is correct
35 Correct 39 ms 5940 KB Output is correct
36 Correct 35 ms 5944 KB Output is correct
37 Correct 38 ms 5932 KB Output is correct
38 Correct 35 ms 5928 KB Output is correct
39 Correct 32 ms 5836 KB Output is correct
40 Correct 34 ms 5940 KB Output is correct
41 Correct 35 ms 5844 KB Output is correct
42 Correct 33 ms 5944 KB Output is correct
43 Correct 39 ms 6076 KB Output is correct
44 Correct 4 ms 4308 KB Output is correct
45 Correct 4 ms 4308 KB Output is correct
46 Correct 4 ms 4408 KB Output is correct
47 Correct 4 ms 4412 KB Output is correct
48 Correct 4 ms 4408 KB Output is correct
49 Correct 4 ms 4380 KB Output is correct
50 Correct 3 ms 4308 KB Output is correct
51 Correct 5 ms 4588 KB Output is correct
52 Correct 4 ms 4308 KB Output is correct
53 Correct 5 ms 4308 KB Output is correct
54 Correct 4 ms 4308 KB Output is correct
55 Correct 54 ms 6276 KB Output is correct
56 Correct 4 ms 4420 KB Output is correct
57 Correct 6 ms 4548 KB Output is correct
58 Correct 109 ms 5028 KB Output is correct
59 Execution timed out 2064 ms 8964 KB Time limit exceeded
60 Halted 0 ms 0 KB -