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#include <stdio.h>
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#include "utils.h"
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/*
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The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
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1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
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Let us list the factors of the first seven triangle numbers:
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1: 1
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3: 1,3
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6: 1,2,3,6
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10: 1,2,5,10
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15: 1,3,5,15
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21: 1,3,7,21
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28: 1,2,4,7,14,28
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We can see that 28 is the first triangle number to have over five divisors.
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What is the value of the first triangle number to have over five hundred divisors?
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https://projecteuler.net/problem=12
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*/
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int main(int argc,char**argv) {
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int counter=1;
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long sum=0;
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while (true) {
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sum+=counter;
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printf("Checking %ld...\n",sum);
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int current=1;
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int max=sum;
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int divisorCount=0;
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while (current<max) {
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if (max==current&&sum%current==0) {
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divisorCount++;
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break;
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} else
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if (sum%current==0) {
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max=sum/current;
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divisorCount+=2;
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}
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current++;
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}
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printf(" has %d divisors.\n",divisorCount);
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if (divisorCount>500) {
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printf("\n\nNumber %ld has %d divisors!",sum,divisorCount);
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return 0;
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}
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counter++;
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}
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return 0;
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}
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