HDU5095——水过——Linearization of the kernel functions in SVM

时间：2015-05-19 22:11:27 阅读：142 评论：0 收藏：0 [点我收藏+]

标签：

Problem Description

SVM（Support Vector Machine）is an important classification tool, which has a wide range of applications in cluster analysis, community division and so on. SVM The kernel functions used in SVM have many forms. Here we only discuss the function of the form f(x,y,z) = ax^2 + by^2 + cy^2 + dxy + eyz + fzx + gx + hy + iz + j. By introducing new variables p, q, r, u, v, w, the linearization of the function f(x,y,z) is realized by setting the correspondence x^2 <-> p, y^2 <-> q, z^2 <-> r, xy <-> u, yz <-> v, zx <-> w and the function f(x,y,z) = ax^2 + by^2 + cy^2 + dxy + eyz + fzx + gx + hy + iz + j can be written as g(p,q,r,u,v,w,x,y,z) = ap + bq + cr + du + ev + fw + gx + hy + iz + j, which is a linear function with 9 variables.

Now your task is to write a program to change f into g.

Input

The input of the first line is an integer T, which is the number of test data (T<120). Then T data follows. For each data, there are 10 integer numbers on one line, which are the coefficients and constant a, b, c, d, e, f, g, h, i, j of the function f(x,y,z) = ax^2 + by^2 + cy^2 + dxy + eyz + fzx + gx + hy + iz + j.

Output

For each input function, print its correspondent linear function with 9 variables in conventional way on one line.

Sample Input

2 0 46 3 4 -5 -22 -8 -32 24 27 2 31 -5 0 0 12 0 0 -49 12

Sample Output

46q+3r+4u-5v-22w-8x-32y+24z+27 2p+31q-5r+12w-49z+12

Source

2014上海全国邀请赛——题目重现（感谢上海大学提供题目）

Recommend

#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int T;
int a[11];
int vis[11];
char b[12] = "pqruvwxyz";
int main()
{
    scanf("%d",&T);
    while(T--){
        memset(vis,0,sizeof(vis));
        for(int i = 1; i <= 10 ; i++){
            scanf("%d",&a[i]);
            if(a[i] == 0)
                vis[i] = 1;
        }
        if(a[1] == 0&&a[2] ==0&& a[3] ==0&& a[4] ==0&& a[5] ==0&& a[6] ==0&& a[7] ==0&& a[8] ==0&& a[9] ==0&& a[10] == 0){
            printf("0\n");
            continue;
        }
        int flag = 1;
        for(int i = 1; i <= 10 ; i++){
            if(a[i] == 0) continue;
            if(flag && a[i]){
                if(i!=10){
                    if(a[i] == 1)
                    printf("%c",b[i-1]);
                    else if(a[i] == -1)
                        printf("-%c",b[i-1]);
                    else 
                       printf("%d%c",a[i],b[i-1]);
                }
                else printf("%d",a[i]);
                flag = 0;
            }
            else {
                if(a[i] > 0){
                    printf("+");
                    if(i!=10){
                    if(a[i] == 1)
                        printf("%c",b[i-1]);
                    else 
                    printf("%d%c",a[i],b[i-1]);
                    }
                    else printf("%d",a[i]);
                }
                else {
                    printf("-");
                    if(i!=10){
                    if(a[i] == -1)
                        printf("%c",b[i-1]);
                    else 
                    printf("%d%c",-a[i],b[i-1]);
                    }
                    else printf("%d",-a[i]);
                }
            }
        }
        puts("");
    }
    return 0;
}

HDU5095——水过——Linearization of the kernel functions in SVM

标签：

原文地址：http://www.cnblogs.com/zero-begin/p/4515446.html

踩

(0)

评论一句话评论（0）

分享档案

更多>

2021年07月29日 (22)
2021年07月28日 (40)
2021年07月27日 (32)
2021年07月26日 (79)
2021年07月23日 (29)
2021年07月22日 (30)
2021年07月21日 (42)
2021年07月20日 (16)
2021年07月19日 (90)
2021年07月16日 (35)

周排行