UVA 725 Division (Division)A-Brute Force solutionTime
limit:3000MS
Memory Limit:0KB
64bit IO Format:%lld &%llu
Description
Write a program, finds and displays all pairs of 5-digit numbers, between them use the digits 0 through 9 Once each, such the first number divided by the second are equal to an integer N, where. That's,
Abcde/fghij = N
Where each letter represents a different digit. The first digit of the numerals is allowed to be zero.
InputEach line of the input file consists of a valid integer
N. An input of zero was to terminate the program.
OutputYour program has to display all qualifying pairs of numerals, sorted by increasing numerator (and, of course, denominator ).
Your output should is in the following general form:
xxxxx/xxxxx = N
xxxxx/xxxxx = N
.
.
In case there is no pairs of numerals satisfying the condition, you must write 'there is no solutions for N.". Separate the output for both different values of N by a blank line.
Sample Input
61620
Sample Output
There is no solutions for 61.79546/01283 = 6294736/01528 = 62
Test instructions
Enter positive integer n to output all expressions, such as abcde/fghij=n, in order from small to large, where a-j happens to be an arrangement of the number 0-9 (can have 0 preamble) 2=<n<=79
Ideas:
Can use five-layer loops, but the process is a bit cumbersome
You can also enumerate fghij only to calculate ABCDE, and then the judge does not meet the criteria.
#include <stdio.h>intp[ the];intJuge (intAintb//determine the eligible A, B, mark A, B, every bit{ if(A >98765) return 0; for(inti =0; I <Ten; i++) {P[i]=0; } if(b<10000) p[0]=1; while(a) {P[a%Ten] =1;//judge each bit, and then MarkA/=Ten; } while(b) {p[b%Ten] =1; b/=Ten; } intTotal =0; for(inti =0; I <Ten; i++) Total+=P[i]; returntotal==Ten;//until there are 10 numbers that meet the criteria}intMain () {intN, m =0; while(SCANF ("%d", &n) = =1, N) { if(m>0) printf ("\ n"); m++;//Output Format Requirements intf =1; for(inti =1234; I <99999; i++)//The scope should be very good to come up { if(Juge (i*n,i)) {printf ("%d/%05d =%d\n", i*n,i,n);//format control output, five digits if missing, fill it with 0.f =0; } } if(f) {printf ("There is no solutions for%d.\n", N); } } return 0;}
UVA 725 Division (Division) Violence Law!