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2976. [Poi2002]出圈游戏
https://hydro.ac/d/bzoj/record/63a45f32cf75a716a1673915
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BZOJ/2976/2976.cpp
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BZOJ/2976/2976.cpp
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#include <iostream>
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#include <algorithm>
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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 = 25;
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int n, a[N], p[N], d[N], m[N];
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long long exgcd(long long a, long long b, long long& x, long long& y) {
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if (!b) {
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x = 1;
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y = 0;
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return a;
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}
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long long g = exgcd(b, a % b, y, x);
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y -= a / b * x;
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return g;
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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;
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for (int i = 1; i <= n; i++) {
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cin >> a[i];
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p[a[i]] = i;
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}
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for (int i = 1; i <= n; i++) {
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for (int j = p[i - 1]; j != p[i]; j = j == n ? 1 : j + 1) {
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if (a[j] > i) d[i]++;
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}
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m[i] = n - i + 1;
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d[i] = (d[i] + 1) % m[i];
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}
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long long res = d[1], lcm = m[1];
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for (int i = 2; i <= n; i++) {
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long long x, y,
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g = exgcd(lcm, m[i], x, y),
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c = ((d[i] - res) % m[i] + m[i]) % m[i],
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m1 = m[i] / g,
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m2 = lcm / g * m[i];
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if (c % g) {
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cout << "NIE" << endl;
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exit(0);
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}
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x = (x % m[i] + m[i]) % m[i];
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x = (x * c / g % m1 + m1) % m1;
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res = ((lcm * x + res) % m2 + m2) % m2;
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lcm = m2;
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}
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cout << (res ? res : lcm) << endl;
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return 0;
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}
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