BigPow() function

Co-authored-by: sigonasr2 <sigonasr2@gmail.com>

src/main.c

@@ -2,67 +2,22 @@
 #include "utils.h"
 
 /*
-    Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows:
+    Consider all integer combinations of ab for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:
 
-    21 22 23 24 25
-    20  7  8  9 10
-    19  6  1  2 11
-    18  5  4  3 12
-    17 16 15 14 13
+    22=4, 23=8, 24=16, 25=32
+    32=9, 33=27, 34=81, 35=243
+    42=16, 43=64, 44=256, 45=1024
+    52=25, 53=125, 54=625, 55=3125
+    If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:
 
-    It can be verified that the sum of the numbers on the diagonals is 101.
+    4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
 
-    What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?
+    How many distinct terms are in the sequence generated by ab for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?
 
-    https://projecteuler.net/problem=28
+    https://projecteuler.net/problem=
 */
 
-enum dir{RIGHT,DOWN,LEFT,UP};
-
-#define SPIRAL_SIZE 1001
-
 int main(int argc,char**argv) {
-    //Move the number repeatedly in a spiral. Anytime the number in both the X and Y coordinates match, you sum.
-    int x=0;
-    int y=0;
-    int number=1;
-    long sum=0;
-    boolean adjust=false;
-    int maxCounter=1;
-    int counter=maxCounter;
-    enum dir dir=0;
-    while (x<=SPIRAL_SIZE/2&&y<=SPIRAL_SIZE/2&&x>=-SPIRAL_SIZE/2&&y>=-SPIRAL_SIZE/2) {
-        if (x==y||-x==y||x==-y||-x==-y) {
-            sum+=number;
-            printf("Added %d at (%d,%d). Sum:%ld\n",number,x,y,sum);
-        }
-        switch (dir) {
-            case RIGHT:{
-                x++;
-            }break;
-            case DOWN:{
-                y++;
-            }break;
-            case LEFT:{
-                x--;
-            }break;
-            case UP:{
-                y--;
-            }break;
-        }
-        if (--counter==0) {
-            if (!adjust) {
-                adjust=true;
-            } else {
-                adjust=false;
-                maxCounter++;
-            }
-            dir=(dir+1)%4;
-            counter=maxCounter;
-        }
-        number++;
-        //printf("(%d,%d)\n",x,y);
-    }
-    printf("\n\nFinal Sum:%ld",sum);
+    printf("%s",BigPow(3,7).str);
     return 0;
 }

src/utils.c

@@ -171,3 +171,20 @@ boolean isFactor(int*factorList,int numb) {
     }
     return false;
 }
+
+struct String BigPow(int numb1, int numb2) {
+    struct String sum = BigNumber(1);
+    char*newStr = malloc(0);
+    int strLength=0;
+    while (numb1>0) {
+        newStr=realloc(newStr,++strLength);
+        newStr[strLength-1]=(numb1%10)+'0';
+        numb1/=10;
+    }
+    struct String bigNumb2 = (struct String){strLength,newStr};
+    for (int i=0;i<numb2;i++) {
+        sum=mult(sum,bigNumb2);
+    }
+    free(newStr);
+    return sum;
+}

src/utils.h

@@ -8,6 +8,7 @@ struct String{
 };
 struct String add(struct String numb1, struct String numb2);
 struct String mult(struct String numb1, struct String numb2);
+struct String BigPow(int numb1,int numb2);
 void printLongDoubleArr(int a,int b,long doubleArr[a][b]);
 void printIntDoubleArr(int a,int b,int doubleArr[a][b]);
 struct String createBigNumber(char*numb);