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#1731. 【2022.11.02 联考】字符串生成(monkey)
https://sjzezoj.com/submission/63219
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S2OJ/1731/1731.cpp
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S2OJ/1731/1731.cpp
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#include <iostream>
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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 = 1e6 + 5;
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const int mod = 1e9 + 7;
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int nxt[N], f[N][2], p[N], a[N], b[N];
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std::string s;
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int binpow(int a, int b) {
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int res = 1;
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while (b) {
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if (b & 1) res = static_cast<long long>(res) * a % mod;
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a = static_cast<long long>(a) * a % mod;
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b >>= 1;
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}
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return res;
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}
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signed main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> s;
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s = ' ' + s;
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for (int i = 2, j = 0; i < s.size(); i++) {
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while (j && s[i] != s[j + 1]) j = nxt[j];
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if (s[i] == s[j + 1]) j++;
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nxt[i] = j;
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}
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for (int i = 1; i < s.size(); i++) {
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bool x = s[i] - '0';
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f[i - 1][x] = i;
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p[i - 1] = f[i - 1][x ^ 1] = f[nxt[i - 1]][x ^ 1];
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}
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a[0] = 1;
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for (int i = 1; i < s.size(); i++) {
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a[i] = (static_cast<long long>(a[i - 1]) * 2 - a[p[i - 1]]) % mod;
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b[i] = (static_cast<long long>(b[i - 1]) * 2 - b[p[i - 1]] - 2) % mod;
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}
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cout << (mod - (static_cast<long long>(b[s.size() - 1]) * binpow(a[s.size() - 1], mod - 2)) % mod) % mod << endl;
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return 0;
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}
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