Codeforces Round 966 (Div. 3)

A. Primary Task

简单的模拟题,按照题意模拟即可

cpp 复制代码
#include "bits/stdc++.h"
using namespace std;
#define int long long 
#define endl '\n'
#define IOS ios::sync_with_stdio(0),cin.tie(0);
#define all(x) x.begin(),x.end()
#define all2(x) x.begin()+1,x.end()
#define pi pair<int,int> 
#define vi vector<int>
#define vc vector<char> 
#define si set<int> 
#define mi map<int,int>
#define mc map<char,int>
#define YES cout<<"Yes"<<endl;
#define NO  cout<<"No"<<endl;
#define pb(x) push_back(x)
#define fi first
#define sc second
#define is insert
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
const int INF =1e18;

void solve()
{
	
	string s;
	cin>>s;
	int n=s.size();
	int sum=0;
	if(s[0]!='1' || s[1]!='0'){
		cout<<"NO"<<endl;
		return ;
	}
	for (int i=2;i<n;i++){
		sum=sum*10+(s[i]-'0');
		if(sum==0){
			cout<<"No"<<endl;
			return ;
		}
	}
	if(sum<2){
		cout<<"NO"<<endl;
		
	}
	else {
		cout<<"Yes"<<endl;
	}
}

signed main()
{
	IOS
	int t;
	cin>>t;
	while(t--){
		solve();
	}
}

B. Seating in a Bus

按照顺序记录,只要旁边无人的时候入座的话,就是违规。

cpp 复制代码
#include "bits/stdc++.h"
using namespace std;
#define int long long 
#define endl '\n'
#define IOS ios::sync_with_stdio(0),cin.tie(0);
#define all(x) x.begin(),x.end()
#define all2(x) x.begin()+1,x.end()
#define pi pair<int,int> 
#define vi vector<int>
#define vc vector<char> 
#define si set<int> 
#define mi map<int,int>
#define mc map<char,int>
#define YES cout<<"Yes"<<endl;
#define NO  cout<<"No"<<endl;
#define pb(x) push_back(x)
#define fi first
#define sc second
#define is insert
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
const int INF =1e18;

void solve()
{
	int n;
	cin>>n;
	vi a(n+1);
	for (int i=1;i<=n;i++){
		cin>>a[i];
	}
	vi b(n+1,0);
	int fl=0;
	for (int i=1;i<=n;i++){
		int x=a[i];
		if(fl==0){
			fl=1;
		}
		else if(x==1){
			if(b[x+1]==0){
				cout<<"NO"<<endl;
				return ;
			}
			
		}
		else if(x==n){
			if(b[x-1]==0){
				cout<<"NO"<<endl;
				return ;
			}
		}
		else {
			if(b[x-1]==0 && b[x+1]==0){
				cout<<"NO"<<endl;
				return ;
			}
		}
		b[x]=1;
	}
	
	cout<<"YES"<<endl;
	
}

signed main()
{
	IOS
	int t;
	cin>>t;
	while(t--){
		solve();
	}
}

C. Numeric String Template

开两个map分别记录字符和数字,如果发现出现无法对应,或者是前后矛盾的情况就是错误

cpp 复制代码
#include "bits/stdc++.h"
using namespace std;
#define int long long 
#define endl '\n'
#define IOS ios::sync_with_stdio(0),cin.tie(0);
#define all(x) x.begin(),x.end()
#define all2(x) x.begin()+1,x.end()
#define pi pair<int,int> 
#define vi vector<int>
#define vc vector<char> 
#define si set<int> 
#define mi map<int,int>
#define mc map<char,int>
#define YES cout<<"Yes"<<endl;
#define NO  cout<<"No"<<endl;
#define pb(x) push_back(x)
#define fi first
#define sc second
#define is insert
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
const int INF =1e18;

void solve()
{
	int n;
	cin>>n;
	vi a(n);
	for (int i=0;i<n;i++){
		cin>>a[i];
	}
	int m;
	cin>>m;
	for (int i=1;i<=m;i++){
		string s;
		cin>>s;
		map<char,int> mp;
		map<int,int> mp2;
		if((int)s.size()!=n){
			cout<<"NO"<<endl;
		}
		else {
			int fl=0;
			for (int j=0;j<n;j++)
			{
				if(mp[s[j]]==0 && mp[a[j]]==0){
					mp[s[j]]=a[j];
					mp2[a[j]]=s[j]-'a'+1;
				}
				else if(mp[s[j]] && mp2[a[j]]){
					char tmp=mp2[a[j]]-1+'a';
					if(s[j]!=tmp){
						cout<<"NO"<<endl;
						fl=1;
						break;
					}
				}
				else {
					cout<<"NO"<<endl;
					fl=1;
					break;
				}
				
				
			}
			if(fl==0){
				cout<<"Yes"<<endl;
			}
						
		}
	}
	
	
}

signed main()
{
	IOS
	int t;
	cin>>t;
	while(t--){
		solve();
	}
}

D. Right Left Wrong

双指针,并使用前缀和优化,发现左边是L,右边是R时,就加上中间的部分,否则,当左边不是L,和右边不是R的情况,都分别前进一步。

cpp 复制代码
#include "bits/stdc++.h"
using namespace std;
#define int long long 
#define endl '\n'
#define IOS ios::sync_with_stdio(0),cin.tie(0);
#define all(x) x.begin(),x.end()
#define all2(x) x.begin()+1,x.end()
#define pi pair<int,int> 
#define vi vector<int>
#define vc vector<char> 
#define si set<int> 
#define mi map<int,int>
#define mc map<char,int>
#define YES cout<<"Yes"<<endl;
#define NO  cout<<"No"<<endl;
#define pb(x) push_back(x)
#define fi first
#define sc second
#define is insert
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
const int INF =1e18;

void solve()
{
	int n;
	cin>>n;
	vi a(n+1),s(n+1);
	
	for (int i=1;i<=n;i++){
		cin>>a[i];
	}
	for (int i=1;i<=n;i++){
		s[i]=s[i-1]+a[i];
	}
	int sum=0;
	string s1;
	cin>>s1;
	s1=" "+s1;
	int l=1,r=n;
	while(l<r){
		if(s1[l]=='L' && s1[r]=='R'){
			sum+=(s[r]-s[l-1]);
			l++,r--;
		}
		else if(s1[l]!='L'){
			l++;
		}
		else if(s1[r]!='R'){
			r--;
		}
	}
	
	cout<<sum<<endl;
}

signed main()
{
	IOS
	int t;
	cin>>t;
	while(t--){
		solve();
	}
}

E. Photoshoot for Gorillas

本题n*m小于等于2e5,可以暴力通过,可以先暴力枚举算出每个地块受到多少个小方格的影响,

让最大的高度站在受影响次数最多方格位置。

cpp 复制代码
#include "bits/stdc++.h"
using namespace std;
#define int long long 
#define endl '\n'
#define IOS ios::sync_with_stdio(0),cin.tie(0);
#define all(x) x.begin(),x.end()
#define all2(x) x.begin()+1,x.end()
#define pi pair<int,int> 
#define vi vector<int>
#define vc vector<char> 
#define si set<int> 
#define mi map<int,int>
#define mc map<char,int>
#define YES cout<<"Yes"<<endl;
#define NO  cout<<"No"<<endl;
#define pb(x) push_back(x)
#define fi first
#define sc second
#define is insert
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
const int INF =1e18;

void solve()
{
	int n,m,k;
	cin>>n>>m>>k;
	int w;
	cin>>w;
	vi a(w);
	for (int i=0;i<w;i++){
		cin>>a[i];
	}
	sort(a.begin(),a.end());
	reverse(all(a));
	int sum=0;
	vector<vector<int>> v(n+1,vector<int>(m+1));
	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < m; ++j) {
			int k1 = min(n - k, i) - max((int)0, i - k + 1) + 1;
			int k2 = min(m - k, j) - max((int)0, j - k + 1) + 1;
			v[i][j]=k1*k2;
		}
	}
	vi g;
	for (int i=0;i<n;i++){
		for (int j=0;j<m;j++){
			g.push_back(v[i][j]);
		}
	}
	sort(all(g));
	reverse(all(g));
	
	for (int i=0;i<w;i++){
		sum+=g[i]*a[i];
	}
	cout<<sum<<endl;
}

signed main()
{
	IOS
	int t;
	cin>>t;
	while(t--){
		solve();
	}
}

F. Color Rows and Columns

背包变形 .dp[i] 可表示 第i分需要最少的方格次数。

发现当a不等于b的时候,我们会优先选择a这条边,在填到相等后遍会选择一次各填一边,可以节省一个方格。所以在此的基础上分为两类进行背包的转移即可。

cpp 复制代码
#include "bits/stdc++.h"
using namespace std;
#define int long long 
#define endl '\n'
#define IOS ios::sync_with_stdio(0),cin.tie(0);
#define all(x) x.begin(),x.end()
#define all2(x) x.begin()+1,x.end()
#define pi pair<int,int> 
#define vi vector<int>
#define vc vector<char> 
#define si set<int> 
#define mi map<int,int>
#define mc map<char,int>
#define YES cout<<"Yes"<<endl;
#define NO  cout<<"No"<<endl;
#define pb(x) push_back(x)
#define fi first
#define sc second
#define is insert
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
const int INF =1e18;


signed main()
{
	IOS
	//.........................//
	int t;
	cin>>t;
	while(t--){
		int n,k;
		cin>>n>>k;
		vi dp(k+1,0x3f3f3f3f);
		dp[0]=0;
		for (int i=1;i<=n;i++){
			int a,b;
			cin>>a>>b;
			if(a>b){
				swap(a,b);
			}
			for(int j=k;j>=0;j--){
				for (int l=0;l<=a+b && l+j<=k ;l++){
					if(l<=b-a){
						dp[l+j]=min(dp[j+l],dp[j]+a*l);
					}
					else {
						int x,y;
						x=(a+b-l)/2;
						y=a+b-l-x;
						int ans=a*b-x*y;
						dp[j+l]=min(dp[j+l],dp[j]+ans);
						
					}
				}
			}
		}
		if(dp[k]==0x3f3f3f3f){
			cout<<-1<<endl;
		}
		else {
			cout<<dp[k]<<endl;
		}
	}
}
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