• uva 1152 4 values whose sum is zero ——yhx


    The SUM problem can be formulated as follows: given four lists A;B;C;D of integer values, compute
    how many quadruplet (a; b; c; d) 2 AB C D are such that a+b+c+d = 0. In the following, we
    assume that all lists have the same size n.
    Input
    The input begins with a single positive integer on a line by itself indicating the number of the cases
    following, each of them as described below. This line is followed by a blank line, and there is also a
    blank line between two consecutive inputs.
    The rst line of the input le contains the size of the lists n (this value can be as large as 4000).
    We then have n lines containing four integer values (with absolute value as large as 228) that belong
    respectively to A;B;C and D.
    Output
    For each test case, your program has to write the number quadruplets whose sum is zero.
    The outputs of two consecutive cases will be separated by a blank line.

     1 #include<cstdio>
     2 #include<cstring>
     3 int abs(int x)
     4 {
     5     if (x>=0) return x;
     6     return -x;
     7 }
     8 const int m=1098469;
     9 int a[4010],b[4010],c[4010],d[4010],first[1100000],next[17000000],num[17000000];
    10 int main()
    11 {
    12     int i,j,k,n,p,q,x,y,z,t,ans;
    13     scanf("%d",&t);
    14     while (t--)
    15     {
    16         memset(a,0,sizeof(a));
    17         memset(b,0,sizeof(b));
    18         memset(c,0,sizeof(c));
    19         memset(d,0,sizeof(d));
    20         memset(first,0,sizeof(first));
    21         memset(next,0,sizeof(next));
    22         memset(num,0,sizeof(num));
    23         ans=0;
    24         scanf("%d",&n);
    25         for (i=1;i<=n;i++)
    26           scanf("%d%d%d%d",&a[i],&b[i],&c[i],&d[i]);
    27         for (i=1;i<=n;i++)
    28           for (j=1;j<=n;j++)
    29           {
    30               x=a[i]+b[j];
    31               p=abs(x%m);
    32               next[(i-1)*n+j]=first[p];
    33               first[p]=(i-1)*n+j;
    34               num[(i-1)*n+j]=x;
    35           }
    36         for (i=1;i<=n;i++)
    37           for (j=1;j<=n;j++)
    38           {
    39               x=-c[i]-d[j];
    40               p=abs(x%m);
    41               for (k=first[p];k;k=next[k])
    42                 if (x==num[k]) ans++;
    43           }
    44         printf("%d
    ",ans);
    45         if (t) printf("
    ");
    46     }
    47 }

    枚举a+b,把所有值存起来,然后枚举-c-d,在a+b中查找。

    具体查找方法是哈希,除k取余法即可。

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  • 原文地址:https://www.cnblogs.com/SBSOI/p/5575014.html
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