#include using namespace std; #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto& i:a) #define ff first #define ss second #define all(a) begin(a),end(a) #define allr(a) rbegin(a),rend(a) #define pb push_back using ll =long long; using pii=pair; using pll=pair; using vi=vector; using vll=vector; template inline bool chmin(T& a,T b){return a>b?a=b,1:0;} template inline bool chmax(T& a,T b){return a::max()/2; const ll INFL=numeric_limits::max()/2; template< typename T, typename F > struct SegmentTree { int n, sz; vector< T > seg; const F f; const T ti; SegmentTree() = default; explicit SegmentTree(int n, const F f, const T &ti) : n(n), f(f), ti(ti) { sz = 1; while(sz < n) sz <<= 1; seg.assign(2 * sz, ti); } explicit SegmentTree(const vector< T > &v, const F f, const T &ti) : SegmentTree((int) v.size(), f, ti) { build(v); } void build(const vector< T > &v) { assert(n == (int) v.size()); for(int k = 0; k < n; k++) seg[k + sz] = v[k]; for(int k = sz - 1; k > 0; k--) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } void set(int k, const T &x) { k += sz; seg[k] = x; while(k >>= 1) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } T get(int k) const { return seg[k + sz]; } T operator[](const int &k) const { return get(k); } void apply(int k, const T &x) { k += sz; seg[k] = f(seg[k], x); while(k >>= 1) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } T prod(int l, int r) const { T L = ti, R = ti; for(l += sz, r += sz; l < r; l >>= 1, r >>= 1) { if(l & 1) L = f(L, seg[l++]); if(r & 1) R = f(seg[--r], R); } return f(L, R); } T all_prod() const { return seg[1]; } template< typename C > int find_first(int l, const C &check) const { if(l >= n) return n; l += sz; T sum = ti; do { while((l & 1) == 0) l >>= 1; if(check(f(sum, seg[l]))){ while(l < sz) { l <<= 1; auto nxt = f(sum, seg[l]); if(not check(nxt)) { sum = nxt; l++; } } return l + 1 - sz; } sum = f(sum, seg[l++]); } while((l & -l) != l); return n; } template< typename C > int find_last(int r, const C &check) const { if(r <= 0) return -1; r += sz; T sum = ti; do { r--; while(r > 1 and (r & 1)) r >>= 1; if(check(f(seg[r], sum))) { while(r < sz) { r = (r << 1) + 1; auto nxt = f(seg[r], sum); if(not check(nxt)) { sum = nxt; r--; } } return r - sz; } sum = f(seg[r], sum); } while((r & -r) != r); return -1; } }; template< typename T, typename F > SegmentTree< T, F > get_segment_tree(int N, const F &f, const T &ti) { return SegmentTree{N, f, ti}; } template< typename T, typename F > SegmentTree< T, F > get_segment_tree(const vector< T > &v, const F &f, const T &ti) { return SegmentTree{v, f, ti}; } ll n,R,M;string s; void solve(){ vector pref(2*n+1); vector pre2(2*n+1); vector pre3(2*n+1); rep(i,0,2*n){ if(s[i%n]=='('){ pref[i+1]++; pre2[i+1]++; }else{ pref[i+1]--; pre3[i+1]++; } pref[i+1]+=pref[i]; pre2[i+1]+=pre2[i]; pre3[i+1]+=pre3[i]; } auto seg=get_segment_tree(pref,[](int a,int b){return min(a,b);},INFI); int S=pref[n]/2; auto f=[&](int a,int k)->int { if(k>=n)return true; int x=(S+k)/2;int y=(k-S)/2; if(y<0)return false; int l,r; //cout<1){ int mid=(ok+ng)/2; if(pre3[mid]-pre3[a]>=y)ok=mid; else ng=mid; } l=ok; } { int ok=a;int ng=a+n; if(pre2[a+n]-pre2[ok]1){ int mid=(ok+ng)/2; if(pre2[a+n]-pre2[mid]>=x)ok=mid; else ng=mid; } r=ok; } //cout<=0; }; ll ans{INFL}; rep(i,0,n){ //変更の回数 int ok=n/2; int ng=-1; while(abs(ok-ng)>1){ int mid=(ok+ng)/2; if(f(i,(abs(S)&1)+2*mid))ok=mid; else ng=mid; } //cout<>n; cin>>s; cin>>R>>M; if(n&1){ cout<<"-1"<