#include using i64 = long long; template> struct RMQ { const Cmp cmp = Cmp(); static constexpr unsigned B = 64; using u64 = unsigned long long; int n; std::vector> a; std::vector pre, suf, ini; std::vector stk; RMQ() {} RMQ(const std::vector &v) { init(v); } void init(const std::vector &v) { n = v.size(); pre = suf = ini = v; stk.resize(n); if (!n) { return; } const int M = (n - 1) / B + 1; const int lg = std::__lg(M); a.assign(lg + 1, std::vector(M)); for (int i = 0; i < M; i++) { a[0][i] = v[i * B]; for (int j = 1; j < B && i * B + j < n; j++) { a[0][i] = std::min(a[0][i], v[i * B + j], cmp); } } for (int i = 1; i < n; i++) { if (i % B) { pre[i] = std::min(pre[i], pre[i - 1], cmp); } } for (int i = n - 2; i >= 0; i--) { if (i % B != B - 1) { suf[i] = std::min(suf[i], suf[i + 1], cmp); } } for (int j = 0; j < lg; j++) { for (int i = 0; i + (2 << j) <= M; i++) { a[j + 1][i] = std::min(a[j][i], a[j][i + (1 << j)], cmp); } } for (int i = 0; i < M; i++) { const int l = i * B; const int r = std::min(1U * n, l + B); u64 s = 0; for (int j = l; j < r; j++) { while (s && cmp(v[j], v[std::__lg(s) + l])) { s ^= 1ULL << std::__lg(s); } s |= 1ULL << (j - l); stk[j] = s; } } } T operator()(int l, int r) { if (l / B != (r - 1) / B) { T ans = std::min(suf[l], pre[r - 1], cmp); l = l / B + 1; r = r / B; if (l < r) { int k = std::__lg(r - l); ans = std::min({ans, a[k][l], a[k][r - (1 << k)]}, cmp); } return ans; } else { int x = B * (l / B); return ini[__builtin_ctzll(stk[r - 1] >> (l - x)) + l]; } } }; int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int N, Q; std::cin >> N >> Q; std::string S; std::cin >> S; std::vector l(N), r(N), sum(N+1); for (int i = 1; i < N; i++) { l[i] = S[i] == S[i-1] ? l[i-1] : i; } r[N-1] = N-1; for (int i = N-2; i >= 0; i--) { r[i] = S[i] == S[i+1] ? r[i+1] : i; } for (int i = 0; i < N; i++) { sum[i+1] = sum[i] + (S[i] == '0' ? 1 : -1); } std::vector id(N), len; int cnt = 0; for (int i = 0; i < N; i = r[i]+1) { id[i] = cnt++; len.push_back(r[i]-l[i]+1); } RMQ> rmq(len); while (Q--) { int L, R, K; std::cin >> L >> R >> K; L--, R--; int maxlen = 0; if (r[L] >= R) { maxlen = R-L+1; } else { maxlen = std::max(r[L] - L + 1, R - l[R] + 1); if (r[L] + 1 < l[R]) { maxlen = std::max(maxlen, rmq(id[r[L]+1], id[l[R]])); } } if (maxlen < K) { std::cout << R-L+1 << "\n"; } else { int m = 2*K - 1; int s = ((sum[R+1] - sum[L]) % m + m) % m; int ans; if (s < K) { ans = 2 * (K-1) - s; } else { ans = s - 1; } std::cout << ans << "\n"; } } return 0; }