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template <typename T = int> T ba(T l, T r, bool (*check)(T), bool reverseAns = false) { T m = 0, ans = 0; while (r >= l) { m = (l + r) >> 1;
if (check(m)) { ans = reverseAns ? ans : m; l = m + 1; } else { ans = reverseAns ? m : ans; r = m - 1; } }
return ans; }
template <typename T = int> T baL(T l, T r, bool (*check)(T)) { while (l < r) { T m = (l + r) >> 1;
if (check(m)) l = m + 1; else r = m; }
return r; }
template <typename T = int> T baR(T l, T r, bool (*check)(T)) { while (l < r) { T m = (l + r + 1) >> 1;
if (check(m)) l = m; else r = m - 1; }
return r; }
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