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| #include <bits/stdc++.h> using namespace std; #define ll long long typedef pair<int, int> pii; const int maxn = 1e6 + 10; const int INF = 0x3f3f3f3f; #define mid ((l+r)>>1) #define lson l, mid, rt<<1 #define rson mid+1, r, rt<<1|1 int n; int trmn[maxn << 2], trmx[maxn << 2], laz[maxn << 2]; void pushup(int rt) { trmn[rt] = min(trmn[rt << 1], trmn[rt << 1 | 1]); trmx[rt] = max(trmx[rt << 1], trmx[rt << 1 | 1]); } void pushdown(int rt) { int& x = laz[rt]; if (x) { trmn[rt << 1] += x; trmn[rt << 1 | 1] += x; trmx[rt << 1] += x; trmx[rt << 1 | 1] += x; laz[rt << 1] += x; laz[rt << 1 | 1] += x; x = 0; } } void update(int x, int ql, int qr, int l, int r, int rt) { if (ql == l && qr == r) { laz[rt] += x; trmn[rt] += x; trmx[rt] += x; return; } pushdown(rt); if (qr <= mid)update(x, ql, qr, lson); else if (ql > mid)update(x, ql, qr, rson); else { update(x, ql, mid, lson); update(x, mid + 1, qr, rson); } pushup(rt); } int mn, mx; void query(int ql, int qr, int l, int r, int rt) { if (ql <= l && qr >= r) { mn = min(mn, trmn[rt]); mx = max(mx, trmx[rt]); return; } pushdown(rt); if (ql <= mid)query(ql, qr, lson); if (qr > mid)query(ql, qr, rson); } int a[maxn]; int main() { scanf("%d", &n); int pos = 1; for (int i = 0; i < n; i++) { char op; scanf(" %c", &op); if (op == 'L') { if (pos > 1)pos--; } else if (op == 'R')pos++; else { int od = a[pos]; int nw; if (op == '(')nw = 1; else if (op == ')')nw = -1; else nw = 0; a[pos] = nw; update(nw - od, pos, n, 1, n, 1); } mn = INF, mx = -INF; query(1, n, 1, n, 1); if (mn != 0) { printf("-1 "); continue; } int ans = mx; mn = INF, mx = -INF; query(n, n, 1, n, 1); if (mn != 0) { printf("-1 "); continue; } printf("%d ", ans); } printf("\n"); return 0; }
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