常用算法模板

开始存模板

 

 

快速排序

#include <cstdio>
#include <algorithm>
#include <iostream>

using namespace std ; 
typedef long long ll ; 
const int maxN = 100010 ; 

int a[ maxN ] ; 

inline ll INPUT ( ) {
    ll x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(x=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){x=(x<<1)+(x<<3)+ch-'0';ch=getchar();}
    return x*f;
} 

void quick_sort ( const int l , const int r ) {
    if ( l > r ) {
        return ; ;
    }
    int i = l , j = r ; 
    while ( i < j ) {
        while ( a[ j ] >= a[ l ] && j > i ) {
            --j ; 
        }
        while ( a[ i ] <= a[ l ] && j > i ) {
            ++i ; 
        }
        if ( j > i )
            swap ( a[ i ] , a[ j ] ) ; 
    }
    swap ( a[ l ] , a[ i ] ) ;
    quick_sort ( l , i - 1 ) ;
    quick_sort ( i + 1 , r ) ; 
}

int main ( ) {
    int N = INPUT( ) ;
    for ( int i=1 ; i<=N ; ++i ) {
        a[ i ] = INPUT( ) ; 
    }
    quick_sort ( 1 , N ) ; 
    for ( int i=1 ; i<=N ; ++i ) {
        cout << a[ i ] << endl ; 
    }
    return 0 ; 
}

 

快速选择

#include <cstdio>
#include <algorithm>
#include <iostream>

using namespace std ; 
typedef long long ll ; 
const int maxN = 100010 ; 

int a[ maxN ] ; 

inline ll INPUT ( ) {
    ll x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(x=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){x=(x<<1)+(x<<3)+ch-'0';ch=getchar();}
    return x*f;
} 

int quick_select ( const int l , const int r , const int K ) {
    int i = l , j = r ; 
    while ( i < j ) {
        while ( a[ j ] >= a[ l ] && j > i ) {
            --j ; 
        }
        while ( a[ i ] <= a[ l ] && j > i ) {
            ++i ; 
        }
        if ( j > i )
            swap ( a[ i ] , a[ j ] ) ; 
    }
    swap ( a[ l ] , a[ i ] ) ;
    
    if ( i - l == K - 1 ) 
       return a[ i ] ;
       
    else if ( i - l >= K ) 
       return quick_select ( l , i - 1 , K ) ;
    
    else
       return quick_select( i + 1 , r , K - ( i - l + 1 ) ) ;
}

int main ( ) {
    int N = INPUT ( ) ;
    int K = INPUT ( ) ; 
    for ( int i=1 ; i<=N ; ++i ) {
        a[ i ] = INPUT( ) ; 
    }
    cout << quick_select ( 1 , N , K ) << endl ;
    return 0 ; 
}

 

树的重心

//#include <bits/stdc++.h>
#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std ; 
const int maxN = 20010 ; 
const int inf = 2147483647 ; 

struct Edge {
    int to , next ; 
}e[ maxN << 1 ] ;

int head[ maxN ] , size[ maxN ] , hv[ maxN ] ; 
int _cnt ; 

int INPUT ( ) {
    int x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch<='9'&&ch>='0'){x=(x<<1)+(x<<3)+ch-'0';ch=getchar();}
    return x*f;
}

void addEdge ( int x , int y ) {
    e[ ++_cnt ].to = y ; 
    e[ _cnt ].next = head[ x ] ; 
    head[ x ] = _cnt ; 
}

void Dfs ( const int x , int fa ) {
    size[ x ] = 1 ; 
    for ( int i=head[ x ] ; i ; i=e[ i ].next ) {
        if ( e[ i ].to != fa ) {
            Dfs ( e[ i ].to , x ) ; 
            size[ x ] += size[ e[ i ].to ] ; 
        }
    }
    for ( int i=head[ x ] ; i ; i=e[ i ].next ) {
        if ( e[ i ].to != fa && size[ e[ i ].to ] > size[ hv[ x ] ] ) {
            hv[ x ] = e[ i ].to ;
        }
    }
}
void init ( ){
    _cnt = 0 ; 
    memset ( size , 0 , sizeof ( size ) ) ;
    memset ( hv , 0 , sizeof ( hv ) ) ;
    memset ( head , 0 , sizeof ( head ) ) ;
}

int main ( ) {
    for ( int T = INPUT ( ) ; T ; --T ) {
        init ( ) ; 
        int N = INPUT ( ) ;
        for ( int i=1 ; i<N ; ++i ) {
            int x = INPUT ( ) , y = INPUT ( ); 
            addEdge ( x , y ) ;
            addEdge ( y , x ) ; 
        }
        Dfs ( 1 , 1 ) ; 
        int tmp , minNode = 0 , minval = inf ; 
        for ( int i=1 ; i<=N ; ++i ) {
            int tmp = max ( size[ hv[ i ] ] , N - size[ i ] ) ;
            if ( tmp < minval ) {
                minval = tmp ; 
                minNode = i ; 
            }
        }
        printf ( "%d %d\n" , minNode , minval ) ; 
    }
    return 0 ;  
}

 

Tire树

#include <bits/stdc++.h>

using namespace std ;
const int maxN = 5010 ;
typedef long long LL ; 

struct tireNode {
    int cnt ; 
    bool last ; 
    struct tireNode *next[ 26 ] ; 
    tireNode ( ) {//构造方法初始化 
        cnt = 0 ; 
        last = false ; 
        memset ( next , 0 , sizeof ( next ) ) ;
    }
}; 

char str_[ maxN ] ;

void insert ( tireNode *root , char str[ ] ) {
    int len = strlen ( str + 1 ) ; 
    tireNode *cur = root ;
    
    for ( int i=1 ; i<=len ; ++i ) {
        char ch = str[ i ] - 'a' ; 
        if ( cur -> next[ ch ] == NULL ) {
            tireNode* newNode = new tireNode ; 
            cur -> next[ ch ] = newNode ; 
        } 
        cur = cur -> next[ ch ] ;
        cur->cnt++ ; 
    }
    cur -> last = true ;
}

bool find ( tireNode *root , char str[ ] ) {
    int len = strlen ( str + 1 ) ; 
    tireNode *cur = root ; 
    for ( int i=1 ; i<=len ; ++i ) {
        char ch = str[ i ] - 'a' ; 
        if ( cur -> next[ ch ] == NULL ) return false ;
        cur = cur -> next[ ch ] ; 
    }
    if ( cur -> last == true ) return true ; 
    return false ; 
}

int main ( ) {
    int N , M ; 
    tireNode* root = new tireNode ; 
    scanf ( "%d" , &N ) ; 
    for ( int i=1 ; i<=N ; ++i ) {
        scanf ( "%s" , str_ + 1 ) ; 
        insert ( root , str_ ) ; 
    }
    scanf ( "%d" , &M ) ; 
    for ( int i=1 ; i<=M ; ++i ) {
        scanf ( "%s" , str_ + 1 ) ; 
        if ( find ( root , str_ ) ) printf ( "Yes\n" ) ;
        else printf ( "No\n" ) ;  
    }
    return 0 ; 
}

 

#include <bits/stdc++.h>

using namespace std ;
const int maxNode = 10010 ; 
typedef long long LL ; 

struct tireTree {
    static const int maxLen = 26 ; 
    int tr[ maxNode ][ maxLen ] ; 
    bool end[ maxNode ] ; 
    int count[ maxNode ] ; 
    int _cnt ; 
    tireTree ( ) {
        _cnt = 1 ; 
        memset ( tr , 0 , sizeof ( tr ) ) ;
        memset ( end , false , sizeof ( end ) ) ;
    }
    public :
        void insert ( char str[ ] ) {
            int cur = 1 , len = strlen ( str + 1 ) ;
            for ( int i=1 ; i<=len ; ++i ) {
                int idx = str[ i ] - 'a' ; 
                if ( !tr[ cur ][ idx ] ) {
                    tr[ cur ][ idx ] = ++_cnt ; 
                }
                cur = tr[ cur ][ idx ] ; 
            }
            end[ cur ] = true ; 
        }
        
    public :
        bool exist ( char str[ ] ) {
            int cur = 1 , len = strlen ( str + 1 ) ;
            for ( int i=1 ; i<=len ; ++i ) {
                int idx = str[ i ] - 'a' ; 
                if ( !tr[ cur ][ idx ] ) {
                    return false ; 
                }
                cur = tr[ cur ][ idx ] ; 
            }
            return end[ cur ] ; 
        }
};
tireTree tree ; 
char str[ 2000 ] ;
int main ( ) {
    int N , M ; 
    scanf ( "%d" , &N ) ; 
    for ( int i=1 ; i<=N ; ++i ) {
        scanf ( "%s" , str + 1 ) ; 
        tree.insert ( str ) ; 
    }
    scanf ( "%d" , &M ) ; 
    for ( int i=1 ; i<=M ; ++i ) {
        scanf ( "%s" , str + 1 ) ; 
        if ( tree.exist ( str ) ) 
            printf ( "YES\n" ) ;
        else 
            printf ( "NO\n" ) ;
    }
    return 0 ; 
}

 

单调栈

#include <iostream>
#include <stack>
#include <cstdio>

using namespace std ; 
const int INF = 2147483647 ; 

class Element {
    private :
        int Val , Index ; 
    public :
        Element ( ) {
            Val = 0 ;
            Index = -1 ; 
        }
        Element ( const int __x , const int __y ) {
            Val = __x ; 
            Index = __y ; 
        }
        int getVal ( ) {
            return Val ; 
        }
        int getIndex ( ) {
            return Index ; 
        }
        void print ( ) {
            if ( Index == -1 ) cout << "Do not exist!!" << endl ; 
            else cout << Index << " " << Val << endl ; 
        }
};

stack <Element> stk ; 
int arr[ 100 ] ; 
Element Ans[ 100 ] ; 

int In ( ) {
    int x = 0 , f = 1 ; char ch = getchar ( ) ;
    while ( ch < '0' || ch > '9' ) { if ( ch == '-')f = -1 ; ch = getchar ( ) ;}
    while ( ch >= '0' && ch <= '9' ) { x = ( x << 1 ) + ( x << 3 ) + ch - '0' ; ch = getchar ( ) ;}
    return x * f ;  
}

int main ( ) {
    int N = In ( ) ; 
    
    for ( int i=1 ; i<=N ; ++i ) arr[ i ] = In ( ) ; 
    
    for ( int i=1 ; i<=N+1 ; ++i ) {
        Element ele ;
        if ( i != N+1 ) ele = Element ( arr[i] , i ) ;
        else ele = Element ( INF , -1 ) ;
        while ( !stk.empty ( ) && stk.top().getVal( ) < ele.getVal() ) {
            Ans[ stk.top().getIndex() ] = ele ;
            stk.pop ( ) ; 
        }
        stk.push(ele) ; 
    }
    for ( int i=1 ; i<=N ; ++i ) Ans[ i ].print ( ) ; 
    return 0 ;
}