Add more solutions

Added solutions for problems 21, 22, 23, 24 and 25 both in C and
in python

C/p021.c

@@ -0,0 +1,58 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <time.h>
+
+int sum_of_d(int n);
+
+int main(int argc, char **argv)
+{
+   int i, n, sum = 0;
+   double elapsed;
+   struct timespec start, end;
+
+   clock_gettime(CLOCK_MONOTONIC, &start);
+
+   for(i = 2; i < 10000; i++)
+   {
+      n = sum_of_d(i);
+      if(i != n && sum_of_d(n) == i)
+      {
+         sum += i + n;
+      }
+   }
+
+   sum /= 2;
+
+   clock_gettime(CLOCK_MONOTONIC, &end);
+
+   elapsed = (end.tv_sec - start.tv_sec) + (double)(end.tv_nsec - start.tv_nsec) / 1000000000;
+
+   printf("Project Euler, Problem 21\n"); 
+   printf("Answer: %d\n", sum);
+
+   printf("Elapsed time: %.9lf seconds\n", elapsed);
+
+   return 0;
+}
+
+int sum_of_d(int n)
+{
+   int i, sum = 1, limit;
+
+   limit = floor(sqrt(n));
+
+   for(i = 2; i <= limit; i++)
+   {
+      if(n % i == 0)
+      {
+         sum += i;
+         if(n != i * i)
+         {
+            sum += (n / i);
+         }
+      }
+   }
+
+   return sum;
+}

C/p022.c

@@ -0,0 +1,88 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include "projecteuler.h"
+
+int compare(void *string1, void *string2);
+
+int main(int argc, char **argv)
+{
+   FILE *fp;
+   int i, j, n, len, score, sum = 0;
+   double elapsed;
+   char *line, **names;
+   struct timespec start, end;
+
+   clock_gettime(CLOCK_MONOTONIC, &start);
+
+   if((fp = fopen("names.txt", "r")) == NULL)
+   {
+      fprintf(stderr, "Error while opening file %s\n", "names.txt");
+      return 1;
+   }
+
+   fscanf(fp, "%ms", &line);
+
+   fclose(fp);
+
+   len = strlen(line);
+   n = 1;
+
+   for(i = 0; i < len; i++)
+   {
+      if(line[i] == ',')
+      {
+         n++;
+      }
+   }
+
+   if((names = (char **)malloc(n*sizeof(char *))) == NULL)
+   {
+      fprintf(stderr, "Error while allocating memory\n");
+      return 1;
+   }
+
+   names[0] = strtok(line, ",\"");
+
+   for(i = 1; i < n; i++)
+   {
+      names[i] = strtok(NULL, ",\"");
+   }
+
+   quick_sort((void **)names, 0, n-1, compare);
+
+   for(i = 0; i < n; i++)
+   {
+      len = strlen(names[i]);
+      score = 0;
+      for(j = 0; j < len; j++)
+      {
+         score += names[i][j] - 'A' + 1;
+      }
+      score *= (i + 1);
+      sum += score;
+   }
+
+   free(line);
+
+   clock_gettime(CLOCK_MONOTONIC, &end);
+
+   elapsed = (end.tv_sec - start.tv_sec) + (double)(end.tv_nsec - start.tv_nsec) / 1000000000;
+
+   printf("Project Euler, Problem 22\n");
+   printf("Answer: %d\n", sum);
+   printf("Elapsed time: %.9lf seconds\n", elapsed);
+
+   return 0;
+}
+
+int compare(void *string1, void *string2)
+{
+   char *s1, *s2;
+
+   s1 = (char *)string1;
+   s2 = (char *)string2;
+
+   return strcmp(s1, s2);
+}

C/p023.c

@@ -0,0 +1,94 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <time.h>
+
+int is_abundant(int n);
+
+int main(int argc, char **argv)
+{
+   int ab_nums[28123], sums[28123] = {0};
+   int i, j, sum;
+   double elapsed;
+   struct timespec start, end;
+
+   clock_gettime(CLOCK_MONOTONIC, &start);
+
+   for(i = 0; i < 28123; i++)
+   {
+      if(i < 11)
+      {
+         ab_nums[i] = 0;
+      }
+      else if(is_abundant(i+1))
+      {
+         ab_nums[i] = 1;
+      }
+      else
+      {
+         ab_nums[i] = 0;
+      }
+   }
+
+   for(i = 0; i < 28123; i++)
+   {
+      if(ab_nums[i])
+      {
+         for(j = i; j < 28123; j++)
+         {
+            if(ab_nums[j])
+            {
+               sum = i + j + 2;
+
+               if(sum <= 28123)
+               {
+                  sums[sum-1] = 1;
+               }
+            }
+         }
+      }
+   }
+
+   sum = 0;
+
+   for(i = 0; i < 28123; i++)
+   {
+      if(!sums[i])
+      {
+         sum += i + 1;
+      }
+   }
+
+   clock_gettime(CLOCK_MONOTONIC, &end);
+
+   elapsed = (end.tv_sec - start.tv_sec) + (double)(end.tv_nsec - start.tv_nsec) / 1000000000;
+
+   printf("Project Euler, Problem 23\n");
+   printf("Answer: %d\n", sum);
+
+   printf("Elapsed time: %.9lf seconds\n", elapsed);
+
+   return 0;
+}
+
+int is_abundant(int n)
+{
+   int i, sum = 1, limit;
+
+   limit = floor(sqrt(n));
+
+   for(i = 2; i <= limit; i++)
+   {
+      if(n % i == 0)
+      {
+         sum += i;
+
+         if(n != i*i)
+         {
+            sum += (n / i);
+         }
+      }
+   }
+
+   return sum > n;
+}

C/p024.c

@@ -0,0 +1,98 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+
+void next_perm(int *perm, int n);
+void swap(int *vet, int i, int j);
+void sort(int *vet, int i, int n);
+
+int main(int argc, char **argv)
+{
+   int i, perm[10] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
+   double elapsed;
+   struct timespec start, end;
+
+   clock_gettime(CLOCK_MONOTONIC, &start);
+
+   for(i = 0; i < 999999; i++)
+   {
+      next_perm(perm, 10);
+   }
+
+   clock_gettime(CLOCK_MONOTONIC, &end);
+
+   printf("Project Euler, Problem 24\n");
+   printf("Answer: ");
+
+   for(i = 0; i < 10; i++)
+   {
+      printf("%d", perm[i]);
+   }
+
+   printf("\n");
+
+   elapsed = (end.tv_sec - start.tv_sec) + (double)(end.tv_nsec - start.tv_nsec) / 1000000000;
+
+   printf("Elapsed time: %.9lf seconds\n", elapsed);
+
+   return 0;
+}
+
+void next_perm(int *perm, int n)
+{
+   int i, j, min = n, min_idx, flag = 0;
+
+   for(i = 0; i < n - 1; i++)
+   {
+      if(perm[i] < perm[i+1])
+      {
+         flag=1;
+         break;
+      }
+   }
+
+   if(!flag)
+   {
+      return;
+   }
+
+   for(i = n - 2; perm[i] > perm[i+1]; i--);
+
+   for(j = i + 1; j < n; j++)
+   {
+      if(perm[j] > perm[i] && perm[j] < min)
+      {
+         min = perm[j];
+         min_idx = j;
+      }
+   }
+
+   swap(perm, i, min_idx);
+   sort(perm, i+1, n);
+}
+
+void swap(int *vet, int i, int j)
+{
+   int tmp;
+
+   tmp = vet[i];
+   vet[i] = vet[j];
+   vet[j] = tmp;
+}
+
+void sort(int *vet, int i, int j)
+{
+   int a, b, tmp;
+
+   for(a=i+1; a<j; a++)
+   {
+      tmp=vet[a];
+      b=a-1;
+      while(b>=i && vet[b]>tmp)
+      {
+         vet[b+1]=vet[b];
+         b--;
+      }
+      vet[b+1]=tmp;
+   }
+}

C/p025.c

@@ -0,0 +1,76 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include <gmp.h>
+
+int main(int argc, char **argv)
+{
+   int i;
+   double elapsed;
+   struct timespec start, end;
+   mpz_t a, b;
+   char *num;
+   size_t size;
+
+   clock_gettime(CLOCK_MONOTONIC, &start);
+
+   mpz_init_set_ui(a, 1);
+   mpz_init_set_ui(b, 1);
+
+   i = 2;
+
+   while(1)
+   {
+      mpz_add(a, a, b);
+      i++;
+
+      if((size = mpz_sizeinbase(a, 10)) == 1000)
+      {
+         if((num = (char *)malloc((2+size)*sizeof(char))) == NULL)
+         {
+            fprintf(stderr, "Error while allocating memory\n");
+            return 1;
+         }
+         gmp_sprintf(num, "%Zd", a);
+         size = strlen(num);
+         free(num);
+         if(size == 1000)
+         {
+            break;
+         }
+      }
+
+      mpz_add(b, a, b);
+      i++;
+
+      if((size = mpz_sizeinbase(b, 10)) == 1000)
+      {
+         if((num = (char *)malloc((2+size)*sizeof(char))) == NULL)
+         {
+            fprintf(stderr, "Error while allocating memory\n");
+            return 1;
+         }
+         gmp_sprintf(num, "%Zd", b);
+         size = strlen(num);
+         free(num);
+         if(size == 1000)
+         {
+            break;
+         }
+      }
+   }
+
+   mpz_clears(a, b, NULL);
+
+   clock_gettime(CLOCK_MONOTONIC, &end);
+
+   elapsed = (end.tv_sec - start.tv_sec) + (double)(end.tv_nsec - start.tv_nsec) / 1000000000;
+
+   printf("Project Euler, Problem 25\n");
+   printf("Answer: %d\n", i);
+
+   printf("Elapsed time: %.9lf seconds\n", elapsed);
+
+   return 0;
+}

C/projecteuler.c

@@ -128,3 +128,30 @@ int count_divisors(int n)
 
    return count;
 }
+
+void quick_sort(void **array, int l, int r, int (*cmp)(void *lv, void *rv))
+{
+   int i, j;
+   void *pivot, *tmp;
+
+   if (l >= r) return;
+
+   pivot = array[l];
+   i = l - 1;
+   j = r + 1;
+
+   while (i < j) {
+
+      while (cmp(array[++i], pivot) < 0);
+      while (cmp(array[--j], pivot) > 0);
+
+      if (i < j) {
+         tmp = array[i];
+         array[i] = array[j];
+         array[j] = tmp;
+      }
+   }
+
+   quick_sort(array, l, j, cmp);
+   quick_sort(array, j+1, r, cmp);
+}

C/projecteuler.h

@@ -7,5 +7,6 @@ long int lcm(long int a, long int b);
 long int gcd(long int a, long int b);
 int *sieve(int n);
 int count_divisors(int n);
+void quick_sort(void **array, int l, int r, int (*cmp)(void *lv, void *rv));
 
 #endif

Python/p021.py

@@ -0,0 +1,40 @@
+#!/usr/bin/python3
+
+import math
+
+from timeit import default_timer
+
+def sum_of_divisors(n):
+    limit = math.floor(math.sqrt(n)) + 1
+
+    sum_ = 1
+
+    for i in range(2, limit):
+        if n % i == 0:
+            sum_ = sum_ + i
+            if n != i * i:
+                sum_ = sum_ + n // i
+
+    return sum_
+
+def main():
+    start = default_timer()
+
+    sum_ = 0
+
+    for i in range(2, 10000):
+        n = sum_of_divisors(i)
+        if i != n and sum_of_divisors(n) == i:
+            sum_ = sum_ + i + n
+
+    sum_ = sum_ // 2
+
+    end = default_timer()
+
+    print('Project Euler, Problem 21')
+    print('Answer: {}'.format(sum_))
+
+    print('Elapsed time: {:.9f} seconds'.format(end - start))
+
+if __name__ == '__main__':
+    main()

Python/p022.py

@@ -0,0 +1,35 @@
+#!/usr/bin/python3
+
+from timeit import default_timer
+
+def main():
+    start = default_timer()
+
+    try:
+        fp = open('names.txt', 'r')
+    except:
+        print('Error while opening file {}'.format('names.txt'))
+        exit(1)
+
+    names = list(fp.readline().replace('"', '').split(','))
+    names.sort()
+
+    sum_ = 0
+
+    for i in range(len(names)):
+        l = len(names[i])
+        score = 0
+        for j in range(l):
+            score = score + ord(names[i][j]) - ord('A') + 1
+        score = score * (i + 1)
+        sum_ = sum_ + score
+
+    end = default_timer()
+
+    print('Project Euler, Problem 22')
+    print('Answer: {}'.format(sum_))
+
+    print('Elapsed time: {:.9f} seconds'.format(end - start))
+
+if __name__ == '__main__':
+    main()

Python/p023.py

@@ -0,0 +1,51 @@
+#!/usr/bin/python3
+
+import math
+
+from timeit import default_timer
+
+def is_abundant(n):
+    limit = math.floor(math.sqrt(n)) + 1
+    sum_ = 1
+
+    for i in range(2, limit):
+        if n % i == 0:
+            sum_ = sum_ + i
+            if n != i * i:
+                sum_ = sum_ + n // i
+
+    return sum_ > n
+
+def main():
+    start = default_timer()
+
+    ab_nums = [False] * 28124
+
+    for i in range(12, 28124):
+        ab_nums[i] = is_abundant(i)
+
+    sums = [False] * 28124
+
+    for i in range(1, 28123):
+        if ab_nums[i]:
+            for j in range(i, 28123):
+                if ab_nums[j]:
+                    sum_ = i + j
+                    if sum_ <= 28123:
+                        sums[sum_] = True
+
+    sum_ = 0
+
+    for i in range(1, 28124):
+        if not sums[i]:
+            sum_ = sum_ + i
+
+    end = default_timer()
+
+    print('Project Euler, Problem 23')
+    print('Answer: {}'.format(sum_))
+
+    print('Elapsed time: {:.9f} seconds'.format(end - start))
+
+if __name__ == '__main__':
+    main()

Python/p024.py

@@ -0,0 +1,21 @@
+#!/usr/bin/python3
+
+from itertools import permutations
+
+from timeit import default_timer
+
+def main():
+    start = default_timer()
+
+    perm = list(permutations('0123456789'))
+    res = int(''.join(map(str, perm[999999])))
+
+    end = default_timer()
+
+    print('Project Euler, Problem 24')
+    print('Answer: {}'.format(res))
+
+    print('Elapsed time: {:.9f} seconds'.format(end - start))
+
+if __name__ == '__main__':
+    main()

Python/p025.py

@@ -0,0 +1,28 @@
+#!/usr/bin/python3
+
+from timeit import default_timer
+
+def main():
+    start = default_timer()
+
+    fib1 = 1
+    fib2 = 1
+    fibn = fib1 + fib2
+
+    i = 3
+
+    while len(str(fibn)) < 1000:
+        fib1 = fib2
+        fib2 = fibn
+        fibn = fib1 + fib2
+        i = i + 1
+
+    end = default_timer()
+
+    print('Project Euler, Problem 25')
+    print('Answer: {}'.format(i))
+
+    print('Elapsed time: {:.9f} seconds'.format(end - start))
+
+if __name__ == '__main__':
+    main()