#include <iostream> #include <stdio.h> #include <vector> int NUM=17; using namespace std; const int arr[3][3]={{10,5,8},{10,7,11},{9,3,11}}; int used[3][3]={{0,0,0},{0,0,0},{0,0,0}}; void testdiv(int a, int b, int c){//tests all possible division options if( a+ b +c ==NUM) printf("%d:%d+%d+%d\n" ,NUM,a,b,c); if( (a+ b)/c ==NUM&&(a+ b)%c==0) printf("%d:(%d+%d)/%d\n",NUM,a,b,c); if( a/ b +c ==NUM&& a%b==0) printf("%d:%d/%d+%d\n" ,NUM,a,b,c); if((b+c)&&a/(b+c)==NUM&& a%(b+c)==0)printf("%d:%d/(%d+%d)\n",NUM,a,b,c); if( a+ b /c ==NUM&& b%c==0) printf("%d:%d+%d/%d\n" ,NUM,a,b,c); } void testmul(int a, int b, int c){//tests all possible options involving multiplication if(a*b+c ==NUM) printf("%d:%d*%d+%d\n" ,NUM,a,b,c); if((a*b)/c ==NUM&&(a*b)%c ==0) printf("%d:(%d*%d)/%d\n" ,NUM,a,b,c); if(a+b*c ==NUM&&b%c ==0) printf("%d:%d+%d*%d\n" ,NUM,a,b,c); if(a/b*c ==NUM&&a%b ==0) printf("%d:%d/%d*%d\n" ,NUM,a,b,c); if(a/(b*c) ==NUM&&a%(b*c) ==0) printf("%d:%d/(%d*%d)\n" ,NUM,a,b,c); } void testdm(int a, int b, int c){//tests all possible division/multiplication/addition options testdiv(a,b,c); testmul(a,b,c); } void testperm(int a, int b, int c){//generates all possible negative/positive combinations testdm(+a,+b,+c); testdm(+a,+b,-c); testdm(+a,-b,+c); testdm(+a,-b,-c); testdm(-a,+b,+c); testdm(-a,+b,-c); testdm(-a,-b,+c); testdm(-a,-b,-c); } void test(vector<int>& str){ testperm(str[0],str[1],str[2]); testperm(str[0],str[2],str[1]); testperm(str[1],str[0],str[2]); testperm(str[1],str[2],str[0]); testperm(str[2],str[0],str[1]); testperm(str[2],str[1],str[0]); } void gensubstr(int x, int y,int depth, vector<int> str){//generates 3-substrings int i,j; used[x][y]=1; str.push_back(arr[x][y]); if(depth==3){ test(str); used[x][y]=0; return; } for(i=-1;i<=1;i+=2){ if(x+i>=3 || x+i<0) continue; if(used[x+i][y]) continue; gensubstr(x+i,y,depth+1,str); } for(i=-1;i<=1;i+=2){ if(y+i>=3 || y+i<0) continue; if(used[x][y+i]) continue; gensubstr(x,y+i,depth+1,str); } used[x][y]=0; } int main(){ vector<int> str; for(NUM=7;NUM<=18;++NUM) for(int i=0;i<3;++i) for(int j=0;j<3;++j) gensubstr(i,j,1,str); return 0; }
Standard input is empty
7:10/10*7 7:10+-10+7 7:10/-10*-7 7:-10+10+7 7:-10/10*-7 7:-10/-10*7 7:(10*7)/10 7:10+7+-10 7:(10*-7)/-10 7:-10+7+10 7:(-10*7)/-10 7:(-10*-7)/10 7:10/10*7 7:10+-10+7 7:10/-10*-7 7:-10+10+7 7:-10/10*-7 7:-10/-10*7 7:(10*7)/10 7:10+7+-10 7:(10*-7)/-10 7:-10+7+10 7:(-10*7)/-10 7:(-10*-7)/10 7:(7*10)/10 7:7+10+-10 7:7+-10+10 7:(7*-10)/-10 7:(-7*10)/-10 7:(-7*-10)/10 7:(7*10)/10 7:7+10+-10 7:7+-10+10 7:(7*-10)/-10 7:(-7*10)/-10 7:(-7*-10)/10 7:10+5+-8 7:10+-8+5 7:5+10+-8 7:5+-8+10 7:-8+10+5 7:-8+5+10 7:8+11/-11 7:8+-11/11 7:8+11/-11 7:8+-11/11 7:11/-11+8 7:-11/11+8 7:11/-11+8 7:-11/11+8 7:-8+5+10 7:-8+10+5 7:5+-8+10 7:5+10+-8 7:10+-8+5 7:10+5+-8 7:10+9/-3 7:10+-9/3 7:9/-3+10 7:-9/3+10 7:7/(-10+11) 7:-7/(10+-11) 7:7/(11+-10) 7:-7/(-11+10) 7:-7+3+11 7:-7+11+3 7:3+-7+11 7:3+11+-7 7:11+-7+3 7:11+3+-7 7:(7*10)/10 7:7+10+-10 7:7+-10+10 7:(7*-10)/-10 7:(-7*10)/-10 7:(-7*-10)/10 7:(7*10)/10 7:7+10+-10 7:7+-10+10 7:(7*-10)/-10 7:(-7*10)/-10 7:(-7*-10)/10 7:(10*7)/10 7:10+7+-10 7:(10*-7)/-10 7:-10+7+10 7:(-10*7)/-10 7:(-10*-7)/10 7:10/10*7 7:10+-10+7 7:10/-10*-7 7:-10+10+7 7:-10/10*-7 7:-10/-10*7 7:(10*7)/10 7:10+7+-10 7:(10*-7)/-10 7:-10+7+10 7:(-10*7)/-10 7:(-10*-7)/10 7:10/10*7 7:10+-10+7 7:10/-10*-7 7:-10+10+7 7:-10/10*-7 7:-10/-10*7 7:7/(10+-9) 7:-7/(-10+9) 7:7/(-9+10) 7:-7/(9+-10) 7:(7*11)/11 7:7+11+-11 7:7+-11+11 7:(7*-11)/-11 7:(-7*11)/-11 7:(-7*-11)/11 7:(7*11)/11 7:7+11+-11 7:7+-11+11 7:(7*-11)/-11 7:(-7*11)/-11 7:(-7*-11)/11 7:(11*7)/11 7:11+7+-11 7:(11*-7)/-11 7:-11+7+11 7:(-11*7)/-11 7:(-11*-7)/11 7:11/11*7 7:11+-11+7 7:11/-11*-7 7:-11+11+7 7:-11/11*-7 7:-11/-11*7 7:(11*7)/11 7:11+7+-11 7:(11*-7)/-11 7:-11+7+11 7:(-11*7)/-11 7:(-11*-7)/11 7:11/11*7 7:11+-11+7 7:11/-11*-7 7:-11+11+7 7:-11/11*-7 7:-11/-11*7 7:11+-7+3 7:11+3+-7 7:-7+11+3 7:-7+3+11 7:3+11+-7 7:3+-7+11 7:7/(11+-10) 7:-7/(-11+10) 7:7/(-10+11) 7:-7/(10+-11) 7:7/(-9+10) 7:-7/(9+-10) 7:7/(10+-9) 7:-7/(-10+9) 7:3+-7+11 7:3+11+-7 7:-7+3+11 7:-7+11+3 7:11+3+-7 7:11+-7+3 7:9/-3+10 7:-9/3+10 7:10+9/-3 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8:10+10/-5 8:10+-10/5 8:5+-8+11 8:5+11+-8 8:-8+5+11 8:-8+11+5 8:11+5+-8 8:11+-8+5 8:(8*11)/11 8:8+11+-11 8:8+-11+11 8:(8*-11)/-11 8:(-8*11)/-11 8:(-8*-11)/11 8:(8*11)/11 8:8+11+-11 8:8+-11+11 8:(8*-11)/-11 8:(-8*11)/-11 8:(-8*-11)/11 8:(11*8)/11 8:11+8+-11 8:(11*-8)/-11 8:-11+8+11 8:(-11*8)/-11 8:(-11*-8)/11 8:11/11*8 8:11+-11+8 8:11/-11*-8 8:-11+11+8 8:-11/11*-8 8:-11/-11*8 8:(11*8)/11 8:11+8+-11 8:(11*-8)/-11 8:-11+8+11 8:(-11*8)/-11 8:(-11*-8)/11 8:11/11*8 8:11+-11+8 8:11/-11*-8 8:-11+11+8 8:-11/11*-8 8:-11/-11*8 8:10+10/-5 8:10+-10/5 8:10/-5+10 8:-10/5+10 8:10+10/-5 8:10+-10/5 8:10/-5+10 8:-10/5+10 8:10+-7+5 8:10+5+-7 8:-7+10+5 8:-7+5+10 8:5+10+-7 8:5+-7+10 8:-10+7+11 8:-10+11+7 8:7+-10+11 8:7+11+-10 8:11+-10+7 8:11+7+-10 8:-7+5+10 8:-7+10+5 8:5+-7+10 8:5+10+-7 8:10+-7+5 8:10+5+-7 8:7+10/10 8:7+-10/-10 8:7+10/10 8:7+-10/-10 8:10/10+7 8:-10/-10+7 8:10/10+7 8:-10/-10+7 8:7+10+-9 8:7+-9+10 8:10+7+-9 8:10+-9+7 8:-9+7+10 8:-9+10+7 8:7+11/11 8:7+-11/-11 8:7+11/11 8:7+-11/-11 8:11/11+7 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9:-10/10*-9 9:-10/-10*9 9:(10*9)/10 9:10+9+-10 9:(10*-9)/-10 9:-10+9+10 9:(-10*9)/-10 9:(-10*-9)/10 9:10/10*9 9:10+-10+9 9:10/-10*-9 9:-10+10+9 9:-10/10*-9 9:-10/-10*9 9:(10*9)/10 9:10+9+-10 9:(10*-9)/-10 9:-10+9+10 9:(-10*9)/-10 9:(-10*-9)/10 9:(9*10)/10 9:9+10+-10 9:9+-10+10 9:(9*-10)/-10 9:(-9*10)/-10 9:(-9*-10)/10 9:(9*10)/10 9:9+10+-10 9:9+-10+10 9:(9*-10)/-10 9:(-9*10)/-10 9:(-9*-10)/10 9:10/5+7 9:-10/-5+7 9:7+10/5 9:7+-10/-5 9:5+7+-3 9:5+-3+7 9:7+5+-3 9:7+-3+5 9:-3+5+7 9:-3+7+5 9:7+10/5 9:7+-10/-5 9:10/5+7 9:-10/-5+7 9:5+-7+11 9:5+11+-7 9:-7+5+11 9:-7+11+5 9:11+5+-7 9:11+-7+5 9:8+11/11 9:8+-11/-11 9:8+11/11 9:8+-11/-11 9:11/11+8 9:-11/-11+8 9:11/11+8 9:-11/-11+8 9:10/5+7 9:-10/-5+7 9:7+10/5 9:7+-10/-5 9:7+10/5 9:7+-10/-5 9:10/5+7 9:-10/-5+7 9:11+-7+5 9:11+5+-7 9:-7+11+5 9:-7+5+11 9:5+11+-7 9:5+-7+11 9:(9*10)/10 9:9+10+-10 9:9+-10+10 9:(9*-10)/-10 9:(-9*10)/-10 9:(-9*-10)/10 9:(9*10)/10 9:9+10+-10 9:9+-10+10 9:(9*-10)/-10 9:(-9*10)/-10 9:(-9*-10)/10 9:(10*9)/10 9:10+9+-10 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