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November 28, 2020 00:50
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Using modular arithmetic to move a robot in 4 directions
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#include <stdlib.h> | |
#include <stdio.h> | |
#define TOTAL_POS 4 | |
#define addMod(x, n) (x + 1) % n | |
#define subMod(x, n) (x - 1 + n) % n | |
int main(int argc, char const *argv[]){ | |
int actualPosition = 0; | |
char positions[4][6] = {"North", "East", "South", "West"}; | |
char pos; | |
do { | |
pos = getchar(); | |
if (pos == 'l') actualPosition = subMod(actualPosition, TOTAL_POS); | |
if (pos == 'r') actualPosition = addMod(actualPosition, TOTAL_POS); | |
} while (pos != '\n'); | |
printf("%s\n", positions[actualPosition]); | |
return 0; | |
} | |
// input example: llrlrlrlrlr\n | |
/* | |
Z(4) = {0, 1, 2, 3} | |
Left = -1 | |
Right = +1 | |
>>>> RIGHT | |
0 + 1 = 1 % 4 = 1 | |
1 + 1 = 2 % 4 = 2 | |
2 + 1 = 3 % 4 = 3 | |
3 + 1 = 4 % 4 = 0 | |
(actualPosition + 1) % TotalPos | |
>>>> LEFT | |
3 - 1 = (3 - 1 + 4) % 4 = 6 % 4 = 2 | |
2 - 1 = (2 - 1 + 4) % 4 = 5 % 4 = 1 | |
1 - 1 = (1 - 1 + 4) % 4 = 4 % 4 = 0 | |
0 - 1 = (0 - 1 + 4) % 4 = 3 % 4 = 3 | |
(actualPosition - 1 + TotalPos) % TotalPos | |
*/ |
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