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107
LibreOJ/10172/10172.cpp
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107
LibreOJ/10172/10172.cpp
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#include <iostream>
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#include <string>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 10005,
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M = 6;
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const int mod = 1e6;
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int n, m, k, t, a[M], f[N][245], ans;
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std::string ks;
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std::vector<std::string> r;
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void dfs(std::string s) {
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if (s.size() >= m) {
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if (s == ks) t = r.size();
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r.push_back(s);
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return;
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}
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if (s.back() == '1') dfs(s + '2'), dfs(s + '3');
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else if (s.back() == '2') dfs(s + '1'), dfs(s + '3');
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else dfs(s + '1'), dfs(s + '2');
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}
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bool check(std::string s) {
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for (int i = 1; i < s.size(); i++) {
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if (s[i] == s[i - 1]) return false;
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}
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return true;
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}
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bool check(std::string s1, std::string s2) {
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for (int i = 0; i < s1.size(); i++) {
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if (s1[i] == s2[i]) return false;
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}
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return true;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m >> k;
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for (int i = 1; i <= m; i++) {
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cin >> a[i];
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ks.push_back(a[i] + '0');
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}
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if (!check(ks)) {
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cout << 0 << endl;
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exit(0);
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}
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dfs("1");
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dfs("2");
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dfs("3");
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if (k == 1) {
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f[1][t] = 1;
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} else {
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for (int i = 0; i < r.size(); i++) {
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f[1][i] = 1;
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}
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}
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for (int i = 2; i <= n; i++) {
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if (i == k) {
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for (int j = 0; j < r.size(); j++) {
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if (check(r[t], r[j])) {
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f[i][t] = (f[i][t] + f[i - 1][j]) % mod;
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}
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}
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} else {
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for (int j = 0; j < r.size(); j++) {
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if (i - 1 == k) {
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if (check(r[t], r[j])) {
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f[i][j] = (f[i][j] + f[i - 1][t]) % mod;
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}
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} else {
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for (int k = 0; k < r.size(); k++) {
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if (check(r[j], r[k])) {
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f[i][j] = (f[i][j] + f[i - 1][k]) % mod;
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}
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}
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}
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}
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}
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}
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for (int i = 0; i < r.size(); i++) {
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ans = (ans + f[n][i]) % mod;
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}
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cout << ans << endl;
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return 0;
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}
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