#include <stdio.h>
#include <stdbool.h>

int pickedColor[6] = { 0 };

bool pickNextColor(int layer, int maxColorCount) {
	int i = 1;
	if (layer == 6) {
		if ((pickedColor[1] != pickedColor[5])
			&& (pickedColor[1] != pickedColor[4])
			&& (pickedColor[1] != pickedColor[3])
			&& (pickedColor[5] != pickedColor[4])
			&& (pickedColor[3] != pickedColor[4])
			&& (pickedColor[4] != pickedColor[2])
			&& (pickedColor[3] != pickedColor[2])) {
			printf("Min color required: %d\n", maxColorCount);
			printf("A: %d\nB: %d\nC: %d\nD: %d\nE: %d\n",
				pickedColor[1], pickedColor[2], pickedColor[3], pickedColor[4], pickedColor[5]);
			return true;
		}
		else {
			return false;
		}
	}
	else {
		for (i = 1; i <= maxColorCount; i++) {
			pickedColor[layer] = i;
			if (pickNextColor(layer + 1, maxColorCount)) {
				return true;
			}
		}
		return false;
	}
}

int main() {
	int maxColorCount = 2;
	while (!pickNextColor(1, maxColorCount)) {
		maxColorCount++;
	}
	return 0;
}