#include #include #include #include #include #include #include #include using namespace std; #include "atcoder/modint.hpp" using mint = atcoder::dynamic_modint<-1>; #define rep(i, n) for (int i = 0; i < (n); i++) int dh[] = {1, 1, -1, -1, -1}; int dw[] = {1, -1, 1, 0, -1}; int main() { int H, W, mod; cin >> H >> W >> mod; mint::set_mod(mod); if (H % 2 != 0) { int ans = W == 1 ? 1 : 0; std::cout << ans << "\n"; exit(0); } using Board = array, 2>; Board init; rep(i, 2) rep(j, 64) init[i][j] = 0; Board fin; rep(i, 2) rep(j, 64) fin[i][j] = 0; rep(i, 2) rep(j, W) fin[i][j] = 1; using Data = pair>; auto ok = [&](Data& d) { auto& board = d.first; int i = 0; while (i != W) { int s = board[0][i] + board[1][i]; if (s == 1) break; i++; } while (i != W) { int s = board[0][i] + board[1][i]; if (s != 1) break; i++; } while (i != W) { int s = board[0][i] + board[1][i]; if (s == 1) break; i++; } return i == W; }; set valid; { queue Q; rep(i, W) { Data start{fin, make_pair(0, i)}; valid.insert(start); Q.emplace(start); } while (!Q.empty()) { Data data = Q.front(); Q.pop(); auto& board = data.first; auto& [h, w] = data.second; assert(board[h][w] == 1); board[h][w] = 0; rep(k, 5) { int nh = h - dh[k]; int nw = w - dw[k]; if (!(0 <= nh and nh < 2 and 0 <= nw and nw < W)) continue; if (board[nh][nw] == 0) continue; Data nxt{data}; nxt.second = make_pair(nh, nw); if (!ok(nxt)) continue; if (valid.count(nxt)) continue; valid.insert(nxt); Q.emplace(nxt); } } } // cerr << valid.size() << "\n"; mint ans = 0; vector dp(W); rep(iter, H / 2) { if (iter == 0) { fill(begin(dp), end(dp), mint{1}); } else { vector dp2{dp}; rep(i, W) { if (i) dp2[i - 1] += dp[i]; if (i != W - 1) dp2[i + 1] += dp[i]; } swap(dp, dp2); } map mp; queue Q; vector nx(W); rep(i, W) { Data start{init, make_pair(1, i)}; start.first[1][i] = 1; if(!valid.count(start)) continue; mp[start] = dp[i]; Q.emplace(start); } while (!Q.empty()) { Data data = Q.front(); Q.pop(); auto& board = data.first; auto& [h, w] = data.second; mint curval = mp[data]; //ans += curval; if (board == fin) { assert(h == 0); nx[w] = curval; continue; } rep(k, 5) { int nh = h + dh[k]; int nw = w + dw[k]; if (!(0 <= nh and nh < 2 and 0 <= nw and nw < W)) continue; if (board[nh][nw] == 1) continue; Data nxt{data}; nxt.first[nh][nw] = 1; nxt.second = make_pair(nh, nw); if (valid.count(nxt) == 0) continue; if (mp.count(nxt)) { mp[nxt] += curval; continue; } mp[nxt] = curval; Q.emplace(nxt); } } /* for (auto& [k, v] : mp) { cerr << "dump:" << k.second.first << " " << k.second.second << " " << v.val() << "\n"; } */ swap(dp, nx); } for(auto&x : dp) ans += x; std::cout << ans.val() << "\n"; }