Submission #1188651

#TimeUsernameProblemLanguageResultExecution timeMemory
1188651mertbbmSki 2 (JOI24_ski2)C++20
100 / 100
520 ms888960 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long 
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << "  " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << "  " << j << " " << #i << "  " << q << " " << #p << endl;
#define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl;
typedef pair<int,int>pii;
typedef pair<int,pii>pi2;
mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

int n,k;
const int maxn=305;
pii arr[maxn];
vector<int>storage[2*maxn]; 
int memo[2*maxn][maxn][maxn][2];
vector<int>dis;

int dp(int index, int take, int cur,bool amos){
	if(index==dis.size()-1){
		if(cur==0) return 0;
		else return 1e18;
	}
	if(memo[index][take][cur][amos]!=-1) return memo[index][take][cur][amos];
	int ans=1e18;
	//establish a connecting point
	if(!amos&&(!storage[index].empty()&&take)){
		int nx=cur+storage[index].size();
		int hold=min(nx,take);
		nx-=hold;
		int diff=dis[index+1]-dis[index];
		ans=min(ans,dp(index,take,nx,1)+nx*k*diff);
	}	
	//get more connection
	if(amos){
		if(take<n)ans=min(ans,dp(index,take+1,cur,1)+storage[index][0]);
		ans=min(ans,dp(index+1,take,cur,0));
	}
	else{
		//bring everything up
		int nx=cur+storage[index].size();
		int hold=min(nx,take);
		int diff=dis[index+1]-dis[index];
		ans=min(ans,dp(index+1,take,nx-hold,0)+(nx-hold)*k*diff);
	}
 	return memo[index][take][cur][amos]=ans;
}

void solve(){
	cin >> n >> k;
	for(int x=0;x<n;x++){
		cin >> arr[x].first >> arr[x].second;
	}
	
	sort(arr,arr+n);
	int cur=-5;
	for(int x=0;x<n;x++){
		cur=max(cur+1,arr[x].first);
		dis.push_back(cur);
	}
	
	dis.resize(unique(dis.begin(),dis.end())-dis.begin());
	dis.push_back(2e9);
	
	
	for(int x=0;x<n;x++){
		arr[x].first=lower_bound(dis.begin(),dis.end(),arr[x].first)-dis.begin();
		storage[arr[x].first].push_back(arr[x].second);
	}
	
	for(int x=0;x<=2*n;x++) sort(storage[x].begin(),storage[x].end()); 
	//show4(dis,dis);
	memset(memo,-1,sizeof(memo));
	cout << dp(0,1,0,0);
}	
																   
int32_t main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	//freopen("in.txt","r",stdin);
	//freopen("out.txt","w",stdout);
	int t=1;
	//cin >> t;
	while(t--){
		solve();
	}
}
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