Ultraviolet A 1378-a funny stone game
Question Link
Given n piles of stones, I, J, K, and 3 stacks (I <j <= k) can be selected each time, and then a bunch of functions will be collected from I, stack one to the other two and fail to get the final result. Ask if the first hand can win. If yes, output the first three stacks selected.
Idea: in a combined game, it needs to be converted. All the stones should be lined up in a single line. N stacks cannot be obtained. Therefore, assume that each stone represents a pile, from left to right are n-1, n-2, N-3... 2, 1, 0, and then take one and add two at a time, it is equivalent to taking out a pile and adding two more heaps, which is converted to the NIM problem. Then, for each pile of stones, you only need to consider his parity, because if it is an even number, the latter hand can be the same as the first hand, to ensure that the situation will not change, only the odd number will change, therefore, when seeking for the game and the game at the beginning, we only consider the odd number of stacks, and finally enumerate the three locations (in fact, this step is a little complicated). Then, after the result is obtained, the NIM sum is 0, which means the game wins, if you cannot find a winner, you will lose.
Code:
# Include <cstdio> # include <cstring> const int n = 30; int n, a [n], SG [N], vis [N * n]; void getsg () {for (INT I = 0; I <23; I ++) {memset (VIS, 0, sizeof (VIS); For (Int J = 0; j <I; j ++) {for (int K = J; k <I; k ++) {vis [SG [J] ^ SG [k] = 1 ;}} for (Int J = 0; j ++) if (! Vis [J]) {SG [I] = J; break ;}} void solve () {int sum = 0; For (INT I = 0; I <N; I ++) {scanf ("% d", & A [I]); if (a [I] & 1) sum ^ = SG [n-I-1];} For (INT I = 0; I <n; I ++) {If (! A [I]) continue; For (Int J = I + 1; j <n; j ++) {for (int K = J; k <n; k ++) {If (sum ^ SG [n-I-1] ^ SG [n-J-1] ^ SG [n-k-1]) = 0) {printf ("% d \ n", I, j, k); Return ;}}}} printf ("-1-1-1 \ n");} int main () {int CAS = 0; getsg (); While (~ Scanf ("% d", & N) {printf ("game % d:", ++ CAS); solve () ;}return 0 ;}