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 程式師世界 >> 編程語言 >> C語言 >> C++ >> C++入門知識 >> 多校訓練hdu --Nice boat(線段樹,都是淚)

多校訓練hdu --Nice boat(線段樹,都是淚)

編輯:C++入門知識

多校訓練hdu --Nice boat(線段樹,都是淚)


Nice boat

Time Limit: 30000/15000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 47 Accepted Submission(s): 10


Problem Description
   There is an old country and the king fell in love with a devil. The devil always asks the king to do some crazy things. Although the king used to be wise and beloved by his people. Now he is just like a boy in love and can’t refuse any request from the devil. Also, this devil is looking like a very cute Loli.

   Let us continue our story, z*p(actually you) defeat the 'MengMengDa' party's leader, and the 'MengMengDa' party dissolved. z*p becomes the most famous guy among the princess's knight party. 

   One day, the people in the party find that z*p has died. As what he has done in the past, people just say 'Oh, what a nice boat' and don't care about why he died.

   Since then, many people died but no one knows why and everyone is fine about that. Meanwhile, the devil sends her knight to challenge you with Algorithm contest.

   There is a hard data structure problem in the contest:

   There are n numbers a_1,a_2,...,a_n on a line, everytime you can change every number in a segment [l,r] into a number x(type 1), or change every number a_i in a segment [l,r] which is bigger than x to gcd(a_i,x) (type 2).

   You should output the final sequence.

Input
   The first line contains an integer T, denoting the number of the test cases.
   For each test case, the first line contains a integers n.
   The next line contains n integers a_1,a_2,...,a_n separated by a single space.
   The next line contains an integer Q, denoting the number of the operations.
   The next Q line contains 4 integers t,l,r,x. t denotes the operation type.

   T<=2,n,Q<=100000
   a_i,x >=0
   a_i,x is in the range of int32(C++)

Output
   For each test case, output a line with n integers separated by a single space representing the final sequence.
   Please output a single more space after end of the sequence

Sample Input
1
10
16807 282475249 1622650073 984943658 1144108930 470211272 101027544 1457850878 1458777923 2007237709 
10
1 3 6 74243042
2 4 8 16531729
1 3 4 1474833169
2 1 8 1131570933
2 7 9 1505795335
2 3 7 101929267
1 4 10 1624379149
2 2 8 2110010672
2 6 7 156091745
1 2 5 937186357

Sample Output
16807 937186357 937186357 937186357 937186357 1 1 1624379149 1624379149 1624379149 
給出n個數,兩種操作,1 a b x 將a到b的所有數修改為x, 2 a b x將在a到b范圍內的所有大於x的數修改為與x的最大公約數

范圍修改值不說,在[a,b]內的所有大於x的數 與x去最大公約數,逐步向下分區間,如果該區間都被修改了,並且修改的值大於x,將修改的值於x去最大公約數,否則,繼續向下分區間。



#include 
#include 
#include 
using namespace std;
int tree[2000000] , u[2000000] ;
int gcd(int a,int b)
{
    return b == 0 ? a : gcd(b,a%b);
}
void init(int o,int x,int y)
{
    if(x == y)
        scanf("%I64d", &tree[o]);
    else
    {
        int mid = (x + y) / 2 ;
        init(o*2,x,mid);
        init(o*2+1,mid+1,y);
    }
}
void f(int o,int x,int y)
{
    if( u[o] != -1 )
    {
        u[o*2] = u[o*2+1] = u[o] ;
        u[o] = -1 ;
        if(y = x + 1)
            tree[o*2] = tree[o*2+1] = u[o] ;
    }
}
void update1(int o,int x,int y,int l,int r,int k)
{
    if( l <= x && y <= r )
        u[o] = k ;
    else
    {
        f(o,x,y) ;
        int mid = (x + y) / 2 ;
        if( l <= mid )
            update1(o*2,x,mid,l,r,k);
        if( mid+1 <= r )
            update1(o*2+1,mid+1,y,l,r,k);
    }
}
void update2(int o,int x,int y,int l,int r,int k)
{
    if(x == y && u[o] == -1 )
    {
        if( tree[o] > k )
            tree[o] = gcd(tree[o],k);
        return ;
    }
    if( l <= x && y <= r && u[o] != -1 )
    {
        if( u[o] > k )
            u[o] = gcd(u[o],k);
    }
    else
    {
        f(o,x,y) ;
        int mid = (x + y) / 2 ;
        if( l <= mid )
            update2(o*2,x,mid,l,r,k);
        if( mid+1 <= r )
            update2(o*2+1,mid+1,y,l,r,k);
    }
}
int sum(int o,int x,int y,int k)
{
    int ans = 0 ;
    if( x <= k && k <= y && u[o] != -1 )
        return u[o] ;
    if( x == y && x == k )
        return tree[o] ;
    else
    {
        int mid = (x + y) / 2 ;
        if( k <= mid )
            ans = sum(o*2,x,mid,k);
        else
            ans = sum(o*2+1,mid+1,y,k);
    }
    return ans ;
}
int main()
{
    int T , n , m , t , l , r , x , i ;
    scanf("%d", &T);
    while(T--)
    {
        memset(tree,0,sizeof(tree));
        memset(u,-1,sizeof(u));
        scanf("%d", &n);
        init(1,1,n);
        scanf("%d", &m);
        while(m--)
        {
            scanf("%d %d %d %d", &t, &l, &r, &x);
            if(t == 1)
                update1(1,1,n,l,r,x);
            else
                update2(1,1,n,l,r,x);
        }
        for(i = 1 ; i <= n ; i++)
        {
            int ans = sum(1,1,n,i);
                printf("%d ", ans);
        }
        printf("\n");
    }
    return 0;
}


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