Red Huang

//====================================================================||  
//                        名前  : Coprimes.cpp                             ||  
//                     日付 : 2013/6/5 午後6:43:50                         ||  
//                         著者 : GCA                               ||  
//                  6AE7EE02212D47DAD26C32C0FE829006                  ||  
//====================================================================||  
#include <iostream>  
#include <cstdio>  
#include <cstring>  
#include <algorithm>  
#include <cmath>  
#include <climits>  
#include <vector>  
#include <set>  
#include <map>  
#include <queue>  
#include <cctype>  
#include <utility>  
using namespace std;  
#ifdef ONLINE\_JUDGE  
#define ll "%lld"  
#else  
#define ll "%I64d"  
#endif  
typedef unsigned int uint;  
typedef long long int Int;  
#define Set(a,s) memset(a,s,sizeof(a))  
#define Write(w) freopen(w,"w",stdout)  
#define Read(r) freopen(r,"r",stdin)  
#define Pln() printf("\\n")  
#define I\_de(x,n)for(int i=0;i<n;i++)printf("%d ",x\[i\]);Pln()  
#define De(x)printf(#x"%d\\n",x)  
#define For(i,x)for(int i=0;i<x;i++)  
#define CON(x,y) x##y  
#define Pmz(dp,nx,ny)for(int hty=0;hty<ny;hty++){for(int htx=0;htx<nx;htx++){\\  
    printf("%d ",dp\[htx\]\[hty\]);}Pln();}  
#define M 55  
#define PII pair<int,int\>  
#define PB push\_back  
#define oo INT\_MAX  
#define Set\_oo 0x3f  
#define Is\_debug true  
#define debug(...) if(Is\_debug)printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)  
#define FOR(it,c) for(\_\_typeof((c).begin()) it=(c).begin();it!=(c).end();it++)  
#define eps 1e-6  
bool xdy(double x,double y){return x>y+eps;}  
bool xddy(double x,double y){return x>y-eps;}  
bool xcy(double x,double y){return x<y-eps;}  
bool xcdy(double x,double y){return x<y+eps;}  
int min3(int x,int y,int z){  
    int tmp=min(x,y);  
    return min(tmp,z);  
}  
int max3(int x,int y,int z){  
    int tmp=max(x,y);  
    return max(tmp,z);  
}  
int t,s;  
int test;  
int coprime\[105\]\[105\];  
int ans\[40\];  
void dfs(int now,int res){  
    if(now==t-1){  
        int fg=1;  
        if(ans\[now-1\]>res)fg=0;  
        for(int i=0;i<now;i++){  
            if(!coprime\[ans\[i\]\]\[res\]){  
                fg=0;  
                break;  
            }  
        }  
        if(fg){  
            for(int i=0;i<now;i++){  
                printf("%d ",ans\[i\]);  
            }printf("%d\\n",res);  
        }  
    }  
    else if(now==0){  
        for(int i=1;i<=s;i++){  
//            if(i>s-i)return;  
            ans\[now\]=i;  
            dfs(now+1,s-i);  
        }  
    }else{  
        for(int i=1;i<=res;i++){  
            int fg=1;  
            if(ans\[now-1\]>i)fg=0;  
            if(fg){  
                for(int j=0;j<now;j++){  
                    if(!coprime\[ans\[j\]\]\[i\]){  
                        fg=0;  
                        break;  
                    }  
                }  
            }  
            if(fg){  
                ans\[now\]=i;  
                dfs(now+1,res-i);  
            }  
        }  
    }  
}  
int gcd(int a,int b){  
    if(b==0)return a;  
    else return gcd(b,a%b);  
}  
void pre(){  
    for(int i=1;i<105;i++){  
        for(int j=i;j<105;j++){  
            if(gcd(i,j)==1){  
                coprime\[i\]\[j\]=1;  
                coprime\[j\]\[i\]=1;  
            }  
        }  
    }  
}  
int main() {  
    ios\_base::sync\_with\_stdio(0);  
    Set(coprime,0);  
    pre();  
    scanf("%d",&test);  
    int ff=0;  
    while(test--){  
        printf("ケース %d:\\n",++ff);  
        scanf("%d%d",&s,&t);  
        dfs(0,s);  
    }  
}