text
stringlengths
49
983k
#include <bits/stdc++.h> using namespace std; int n, r; long long c[1 << 19]; int main() { while (scanf("%d%d", &n, &r) != EOF) { int nn = 1 << n; long long sum = 0; for (int i = 0; i < nn; ++i) { scanf("%lld", &c[i]); sum += c[i]; } printf("%.8f\n", 1.0 * sum / nn); while (r--) { int x; long long y; scanf("%d%lld", &x, &y); sum += (y - c[x]); printf("%.8f\n", 1.0 * sum / nn); c[x] = y; } } }
#include <bits/stdc++.h> using namespace std; int n, r; int a[1 << 18]; double an = 0; int main() { ios_base::sync_with_stdio(false); cout << fixed << setprecision(12); cin >> n >> r; for (int i = 0; i < (1 << n); i++) { cin >> a[i]; an += a[i]; } cout << an * pow(2, -n) << '\n'; for (int i = 0; i < r; i++) { int pos, val; cin >> pos >> val; an -= a[pos]; a[pos] = val; an += a[pos]; cout << an * pow(2, -n) << '\n'; } }
#include <bits/stdc++.h> using namespace std; int main() { long long int r, n, c[300000], i, j, k, z, g, sum = 0; cin >> n >> r; for (i = 0; i < (1 << n); i++) { cin >> c[i]; sum = sum + c[i]; } n = 1 << n; double ans1, ans2; ans1 = (double)sum / n; ans2 = ans1; cout << ans2 << setprecision(10) << "\n"; while (r--) { cin >> z >> g; ans2 = ans1 + (double)(g - c[z]) / n; c[z] = g; cout << ans2 << setprecision(10) << "\n"; ans1 = ans2; } }
#include <bits/stdc++.h> using namespace std; int main() { int n, no_of_changes; scanf("%d %d", &n, &no_of_changes); int no_of_elements = (1LL << n); long long sum = 0; vector<int> A(no_of_elements + 1); for (int i = 0; i < no_of_elements; i++) { scanf("%d", &A[i]); sum += A[i]; } double average = (sum * 1.0) / no_of_elements; printf("%.12f\n", average); for (int i = 1; i <= no_of_changes; i++) { int position, new_value; scanf("%d %d", &position, &new_value); sum = sum - A[position] + new_value; A[position] = new_value; average = (sum * 1.0) / (no_of_elements); printf("%.12f\n", average); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; long long n, r; cin >> n >> r; n = 1 << n; long long c[n], sum = 0; for (long long i = 0; i < n; i++) { cin >> c[i]; sum += c[i]; } cout << fixed << setprecision(10) << endl; cout << (double)sum / n << endl; for (long long i = 0; i < r; i++) { long long idx, val; cin >> idx >> val; sum -= c[idx]; c[idx] = val; sum += c[idx]; cout << (double)sum / n << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (1 << 18); long long n, r, all, c[N]; void solve() { cin >> n >> r; for (int i = 0; i < (1 << n); ++i) { cin >> c[i]; all += c[i]; } cout << setprecision(6) << fixed << all / (long double)(1 << n) << "\n"; for (int i = 0; i < r; ++i) { long long z, g; cin >> z >> g; all += g - c[z]; c[z] = g; cout << setprecision(6) << fixed << all / (long double)(1 << n) << "\n"; } } int main() { ios_base::sync_with_stdio(false); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } const long long mod = 1e9 + 7; const int maxn = 1e6 + 10; const int inf = 0x3f3f3f3f; int T; int n, c[maxn], q; int main() { while (~scanf("%d%d", &n, &q)) { long long sum = 0; n = pow(2, n); for (int i = 0; i <= n - 1; i++) { scanf("%d", &c[i]); sum += c[i]; } printf("%.15lf\n", 1.0 * sum / n); int a, b; while (q--) { scanf("%d%d", &a, &b); sum = sum - c[a] + b; c[a] = b; printf("%.15lf\n", 1.0 * sum / n); } } return 0; }
#include <bits/stdc++.h> using namespace std; int main(int argc, char **argv) { int n, r; cin >> n >> r; vector<long long> vec(1 << n); long long sum = 0; for (auto &v : vec) { cin >> v; sum += v; } cout << sum / double(1 << n) << '\n'; int a, b; for (size_t i = 0; i < r; ++i) { cin >> a >> b; sum += (b - vec[a]); vec[a] = b; cout << fixed << setprecision(10) << sum / double(1 << n) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; ll x[1 << 18]; int main() { ios::sync_with_stdio(false), cin.tie(0); ll n, r; cin >> n >> r; ll m = 1 << n; ll sum = 0; for (int i = 0; i < m; i++) cin >> x[i], sum += x[i]; cout << fixed << setprecision(7); cout << (ld)sum / (ld)m << endl; for (int i = 0; i < r; i++) { ll a, b; cin >> a >> b; sum -= x[a]; x[a] = b; sum += x[a]; cout << (ld)sum / (ld)m << endl; } }
#include <bits/stdc++.h> using namespace std; const int N = (1 << 18) + 5; int n, r; int c[N]; int main() { scanf("%d%d", &n, &r); for (int i = 0; i < (1 << n); i++) scanf("%d", &c[i]); long long sum = 0; for (int i = 0; i < (1 << n); i++) sum += c[i]; printf("%.7lf\n", (double)sum / (1 << n)); while (r--) { int z, g; scanf("%d%d", &z, &g); sum -= c[z]; c[z] = g; sum += c[z]; printf("%.7lf\n", (double)sum / (1 << n)); } return 0; }
#include <bits/stdc++.h> using namespace std; long long nums[270000], sum; int n, r; void ans(long long sum, int len) { long long head = sum / len; long long tail = sum % len * 1000000; tail /= len; printf("%lld.%lld\n", head, tail); } int main() { while (cin >> n >> r) { sum = 0; for (int i = 0; i < (1 << n); i++) { cin >> nums[i]; sum += nums[i]; } ans(sum, 1 << n); for (int i = 0; i < r; i++) { int a, b; cin >> a >> b; sum -= nums[a]; nums[a] = b; sum += nums[a]; ans(sum, 1 << n); } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, r, c[262144], z, g; double ans; int main() { scanf("%d%d", &n, &r), n = 1 << n; for (int i = 0; i < n; i++) scanf("%d", &c[i]), ans += 1.0 * c[i] / n; printf("%.6f\n", ans); for (int i = 0; i < r; i++) scanf("%d%d", &z, &g), ans += 1.0 * (g - c[z]) / n, c[z] = g, printf("%.6f\n", ans); }
#include <bits/stdc++.h> #pragma GCC optimize "Ofast" #pragma GCC optimize "unroll-loops" #pragma GCC target "sse,sse2,sse3,sse4,abm,avx,mmx,popcnt,tune=native" char _; using namespace std; int n, r, z, g; long long tot; int c[300000]; int main() { cin.sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> r; for (int i = 0; i < (1 << n); i++) { cin >> c[i]; tot += c[i]; } cout << fixed << setprecision(10) << (1.0 * tot / (1 << n)) << "\n"; for (int i = 0; i < r; i++) { cin >> z >> g; tot += g - c[z]; c[z] = g; cout << fixed << setprecision(10) << (1.0 * tot / (1 << n)) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const ll llinf = (1ll << 61) - 1; const int inf = 1000000007; int TC = 1, CN, n, r, c[1 << 18 | 5]; signed main() { cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); cout.precision(11), cout.setf(ios::fixed); auto kase = [&]() -> void { cin >> n >> r; double sum = 0; for (int i = 0; i < 1 << n; i++) { cin >> c[i], sum += c[i]; } for (int i = 0; i < r; i++) { cout << sum / (1 << n) << '\n'; int z, g; cin >> z >> g; sum -= c[z], c[z] = g, sum += c[z]; } cout << sum / (1 << n) << '\n'; }; while (CN++ != TC) kase(); }
#include <bits/stdc++.h> using namespace std; double const EPS = 1.0E-9; int const MOD = (int)1e9 + 7; inline int read(char* s) { return scanf("%s", s); } inline int read(int& x) { return scanf("%d", &(x)); } inline int read(long long& x) { return scanf("%lld", &x); } inline int read(double& x) { return scanf("%lf", &x); } inline int writeln(int x) { return printf("%d\n", x); } inline int writeln(long long x) { return printf("%lld\n", x); } inline int writeln(double x) { return printf("%.12f\n", x); } template <typename... T> int read(T&... args) { using swallow = int[]; swallow w = {0, (read(args))...}; return sizeof(w) / sizeof(w[0]) - 1; } template <typename T> int read(std::vector<T>& v) { for (T& t : v) read(t); return (int)v.size(); } inline long long gcd(long long x, long long y) { return y == 0 ? x : gcd(y, x % y); } inline long long lcm(long long x, long long y) { return x == 0 && y == 0 ? 0 : x / gcd(x, y) * y; } inline long long powmod(long long x, long long n, long long m = MOD) { long long r = 1; while (n) { if (n & 1) r = (r * x) % m; x = (x * x) % m; n /= 2; } return r; } static int leap(int y) { return y % 4 == 0 && y % 100 != 0 || y % 400 == 0; } static int const month[2][12] = { {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}, {31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}}; static const int maxn = 1 << 19; static const int maxm = 1 << 20; int n, q; int a[maxn]; long long sum; static int solve() { read(n, q); for (int i = 0; i < (1 << n); ++i) { read(a[i]); sum += a[i]; } writeln((double)sum / (1 << n)); for (int i = (0), vzq_b = (q); i < vzq_b; ++i) { int z, g; read(z, g); sum += g - a[z]; a[z] = g; writeln((double)sum / (1 << n)); } return 0; } int main(int argc, char* argv[]) { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; using LL = long long; using LD = long double; const int MX = 1 << 18 | 3; struct Istream { static const int MXL = 2000000; char bf[MXL], *p1, *p2; FILE* F; Istream(FILE* F = stdin) : p1(bf), p2(bf), F(F) {} char getchar() { return p1 == p2 && (p2 = (p1 = bf) + fread(bf, 1, MXL, F)) == bf ? EOF : *p1++; } Istream& operator>>(int& x) { int c = 0; x = 0; while (!isdigit(c)) c = getchar(); while (isdigit(c)) x = x * 10 + c - '0', c = getchar(); return *this; } } __JUMPMELON_DA_ZUI_ZI__; int N, a[MX], Q; LL sum; int main() { ios::sync_with_stdio(0); cout << fixed << setprecision(10); __JUMPMELON_DA_ZUI_ZI__ >> N >> Q; for (int i = 0; i < (1 << N); i++) __JUMPMELON_DA_ZUI_ZI__ >> a[i], sum += a[i]; cout << (LD)sum / (1 << N) << "\n"; while (Q--) { int u, x; __JUMPMELON_DA_ZUI_ZI__ >> u >> x; sum = sum - a[u] + x; a[u] = x; cout << (LD)sum / (1 << N) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 6e5 + 51; int n, r, pos, c; long double res; int x[MAXN]; inline int read() { register int num = 0, neg = 1; register char ch = getchar(); while (!isdigit(ch) && ch != '-') { ch = getchar(); } if (ch == '-') { neg = -1; ch = getchar(); } while (isdigit(ch)) { num = (num << 3) + (num << 1) + (ch - '0'); ch = getchar(); } return num * neg; } int main() { n = 1 << read(), r = read(); for (register int i = 0; i < n; i++) { x[i] = read(), res += x[i]; } cout << fixed << setprecision(8) << res / n << endl; for (register int i = 1; i <= r; i++) { pos = read(), c = read(), res -= x[pos], res += (x[pos] = c); cout << fixed << setprecision(8) << res / n << endl; } }
#include <bits/stdc++.h> using namespace std; double mc[32]; vector<double> vc; int main() { mc[0] = 1; for (int i = 1; i <= 30; i++) mc[i] = mc[i - 1] * 2; long long n, r; double q; double sum, ans, x1, x2; while (scanf("%lld%lld", &n, &r) != EOF) { sum = 0; for (long long i = 0; i < mc[n]; i++) { scanf("%lf", &q); sum += q; vc.push_back(q); } printf("%.6f\n", sum / mc[n]); for (int i = 0; i < r; i++) { scanf("%lf%lf", &x1, &x2); sum -= vc[x1]; vc[x1] = x2; sum += x2; ans = sum / mc[n]; printf("%.6f\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long int; using ull = unsigned long long int; using dd = double; using ldd = long double; int main() { ios_base::sync_with_stdio(0); cin.tie(0); ll n, r; cin >> n >> r; vector<ll> arr((ll(1)) << n); ll sum = 0; n = ((ll)1) << n; for (int i = 0; i < n; ++i) { cin >> arr[i]; sum += arr[i]; } cout.precision(10); cout << ((dd)sum) / (dd(n)) << '\n'; for (int i = 0; i < r; ++i) { ll a, b; cin >> a >> b; sum -= arr[a]; sum += b; arr[a] = b; cout << ((dd)sum) / (dd(n)) << '\n'; } }
#include <bits/stdc++.h> using namespace std; const long double PI = acos(-1); const long double eps = 0.0000000001; const long long INF = 0x3fffffffffffffff; long long n, r, a, b, f[1 << 18], ans; long double s; signed main() { ios::sync_with_stdio(false); cout << fixed << setprecision(6); cin >> n >> r; s = 1 << n; for (long long i = 0; i < 1 << n; ++i) { cin >> f[i]; ans += f[i]; } cout << ans / s << endl; for (long long i = 1; i <= r; ++i) { cin >> a >> b; ans -= f[a]; f[a] = b; ans += f[a]; cout << ans / s << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; double a[2000005], sum = 0; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cout << setprecision(12); long long n, r, i, j, idx, x, tot; cin >> n >> r; tot = (1 << n); for (i = 0; i < (1 << n); i++) { cin >> a[i]; sum += a[i]; } cout << (sum / (1.0l * tot)) << "\n"; while (r--) { cin >> idx >> x; sum += (x - a[idx]); a[idx] = x; cout << (sum / (1.0l * tot)) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; signed main() { long long n, q; double res = 0.0; cin >> n >> q; vector<long long> a(1 << n); for (long long i = 0; i < (1 << n); i++) cin >> a[i]; for (long long i = 0; i < a.size(); i++) res += a[i]; cout << fixed << setprecision(10); cout << (res / (1 << n)) << '\n'; while (q--) { long long x, val; cin >> x >> val; res += val - a[x]; a[x] = val; cout << (res / (1 << n)) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long expo(long long base, long long pow) { long long ans = 1; while (pow != 0) { if (pow & 1 == 1) { ans = ans * base; ans = ans % mod; } base *= base; base %= mod; pow /= 2; } return ans; } long long inv(long long x) { return expo(x, mod - 2); } int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; const int M = 2e6 + 5; long long arr[M]; int main() { int n; long long r; cin >> n >> r; long long summ = 0; long long tot = (1LL << n); for (int i = 0; i < (1 << n); i++) { scanf("%lld", &(arr[i])); summ += arr[i]; } double ex = (summ * 1.0) / tot; printf("%.10f\n", ex); for (int i = 1; i <= r; i++) { int here; long long val; scanf("%d", &(here)); scanf("%lld", &(val)); summ -= arr[here]; summ += val; arr[here] = val; ex = (summ * 1.0) / tot; printf("%.10f\n", ex); } }
#include <bits/stdc++.h> using namespace std; using LL = long long; using LD = long double; const int MX = 1 << 18 | 3; int N, a[MX], Q; LL sum; int main() { ios::sync_with_stdio(0); cout << fixed << setprecision(10); cin >> N >> Q; for (int i = 0; i < (1 << N); i++) cin >> a[i], sum += a[i]; cout << (LD)sum / (1 << N) << "\n"; while (Q--) { int u, x; cin >> u >> x; sum = sum - a[u] + x; a[u] = x; cout << (LD)sum / (1 << N) << "\n"; } return 0; }
#include<bits/stdc++.h> using namespace std; #define FOR(i,a,b) for(int i=a;i<=b;i++) #define ROF(i,a,b) for(int i=a;i>=b;i--) const int N=1e6+7,INF=0x3f3f3f3f,sgn[]={-1,1}; char a[N]; int n,s[N],nxt[N]; int solve(int x,int cnt=0){ int w=0; FOR(i,1,n){ if(a[i]=='?'&&cnt+2+nxt[i]<=x)cnt+=2; w=min(w,s[i]+cnt); } return x-w; } int main(){ scanf("%s",a+1),n=strlen(a+1),nxt[n+1]=-INF; FOR(i,1,n)s[i]=s[i-1]+sgn[a[i]=='1']; ROF(i,n,0)nxt[i]=max(nxt[i+1],s[i]); cout<<min(solve(nxt[0]),solve(nxt[0]+1)); return 0; }
#include <bits/stdc++.h> using namespace std; #define sz(x) ((int) (x).size()) typedef long long ll; typedef pair<int,int> pii; template<class T> void print(T & x){ cout << x; } template<class T,class U> void print(pair<T,U> & p){cout << "("; print(p.first); cout << ", "; print(p.second); cout << ")"; } template<class T> void print(vector<T> & v) { cout << "{"; if (sz(v)) print(v[0]); for (int i = 1; i < sz(v); i++) cout << ", ", print(v[i]); cout << "}\n"; } string S; int solve(int m){ vector<int> sm(sz(S)); int cnt = 0; for(int i=0; i<sz(S); i++){ if(S[i] == '1') cnt++; else cnt--; sm[i] = cnt; } for(int i=sz(S)-2; i>=0; i--) sm[i] = max(sm[i], sm[i+1]); int add = 0; int minim = 0; cnt = 0; for(int i=0; i<sz(S); i++){ if(S[i] != '?') cnt += (S[i]-'0')*2-1; else{ if(sm[i]+add+2 <= m) cnt++, add += 2; else cnt--; } minim = min(minim, cnt); } return m-minim; } int main(){ ios_base::sync_with_stdio(false); cin.tie(0); cin >> S; int z = 0; int cnt = 0; for(int i=0; i<sz(S); i++){ if(S[i] == '1') cnt++; else cnt--; z = max(z, cnt); } cout << min(solve(z), solve(z+1)) << endl; }
//E #include<iostream> #include<cstdio> #include<cstring> using namespace std; char s[1000010]; int sum[1000010]; int mxn[1000010]; int mx,mi,ans,n; void check(int mx){ mi=0; int cnt=0; for(int i=1;i<=n;i++){ if(s[i]=='0') cnt--; if(s[i]=='1') cnt++; if(s[i]=='?'){ if(mxn[i]-sum[i-1]+cnt+2<=mx) cnt++; else cnt--; } mi=min(mi,cnt); } } int main() { scanf("%s",s+1); n=strlen(s+1); for(int i=1;i<=n;i++){ if(s[i]=='0'||s[i]=='?') sum[i]=sum[i-1]-1; if(s[i]=='1') sum[i]=sum[i-1]+1; mx=max(mx,sum[i]); } mxn[n]=sum[n]; for(int i=n-1;i>=1;i--) mxn[i]=max(sum[i],mxn[i+1]); check(mx); //cout<<mx<<mi<<endl; ans=mx-mi; mx++; check(mx); //cout<<mx<<mi<<endl; ans=min(ans,mx-mi); printf("%d",ans); }
#include<bits/stdc++.h> using namespace std; typedef long long ll; const int N=1000005,p=998244353,inf=0x3f3f3f3f; int read(){ int f=1,g=0; char ch=getchar(); for (;!isdigit(ch);ch=getchar()) if (ch=='-') f=-1; for (;isdigit(ch);ch=getchar()) g=g*10+ch-'0'; return f*g; } int n,g[N],ans; char ch[N]; int work(int R){ int ta=0,tb=0,cur=0; for (int i=1;i<=n;i++){ if (ch[i]!='?') cur+=(ch[i]=='1') ? 1 : -1; else cur+=(cur+1+g[i+1]<=R) ? 1 : -1; ta=max(ta,cur);tb=min(tb,cur); } return ta-tb; } int main(){ // freopen("a.txt","r",stdin); scanf("%s",ch+1); n=strlen(ch+1); for (int i=n;i;i--) g[i]=max(0,g[i+1]+((ch[i]=='1') ? 1 : -1)); ans=min(work(g[1]),work(g[1]+1)); printf("%d\n",ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long const int MOD = 1000000007; signed main() { cin.tie(0); ios::sync_with_stdio(false); string S; cin >> S; int N = S.size(); vector<int> X(N + 1, 0); vector<int> pref_mn(N + 1, 0); vector<int> suff_mn(N + 1, 0); vector<int> pref_mx(N + 1, 0); vector<int> suff_mx(N + 1, 0); for (int i = 0; i < N; i++) { X[i + 1] = X[i] + (S[i] == '0' ? -1 : 1); pref_mn[i + 1] = min(X[i + 1], pref_mn[i]); pref_mx[i + 1] = max(X[i + 1], pref_mx[i]); //cerr << X[i] << endl; } suff_mn[N] = X[N]; suff_mx[N] = X[N]; for (int i = N - 1; i >= 0; i--) { suff_mn[i] = min(suff_mn[i + 1], X[i]); suff_mx[i] = max(suff_mx[i + 1], X[i]); } vector<int> L(N + 1, -1); for (int i = N; i >= 0; i--) { if (X[i] >= 0) { L[X[i]] = i; } } int res = pref_mx.back() - pref_mn.back(); for (int j = 0; j < 2; j++) { int cur = N; int mx = pref_mx.back(); //cerr << "mx = " << mx << endl; int INF = (int)1 << 60; int smx = -INF; int smn = INF; while (mx >= 0) { int i = mx; if (i % 2 != j) { i--; } if (i >= 0 && L[i] != -1) { //cerr << cur << " " << L[i] - 1 << endl; int ncur = min(cur - 1, L[i] - 1); int tmx = -INF; int tmn = INF; while (cur > ncur || (cur >= 0 && S[cur] != '?')) { if (cur >= 0) { tmx = max(tmx, X[cur] - 2); tmn = min(tmn, X[cur] - 2); } cur--; } smx = max(smx - 2, tmx); smn = min(smn - 2, tmn); if (cur >= 0) { int mn = min(pref_mn[cur], smn); mx = max(pref_mx[cur], smx); //cerr << mx << " " << mn << endl; res = min(res, mx - mn); } else { break; } }else{ break; } } } cout << res << endl; }
#include <stdio.h> char S[1001001]; int main() { scanf ("%s", S); int l = 0, r = 0; while (S[r]) r++; while (l + 1 < r){ int m = (l + r) / 2; int p = 0, q = m, d = 1; bool g = 1; for (int i = 0; S[i]; i++){ if (S[i] == '0') p++, q++; if (S[i] == '1') p--, q--; if (S[i] == '?') p--, q++; if (p < 0){ p = 0; if (d == 2 && p % 2 != q % 2) p++; } if (q > m){ q = m; if (d == 2 && p % 2 != q % 2) q--; } if (p > q){ g = 0; break; } if (p == q) d = 2; } if (g) r = m; else l = m; } printf ("%d\n", r); return 0; }
#include "iostream" #include "algorithm" #include "cstring" #include "cstdio" #include "cmath" #include "vector" #include "map" #include "set" #include "queue" using namespace std; #define MAXN 1000006 //#define int long long #define rep(i, a, b) for (int i = (a), i##end = (b); i <= i##end; ++i) #define per(i, a, b) for (int i = (a), i##end = (b); i >= i##end; --i) #define pii pair<int,int> #define fi first #define se second #define mp make_pair #define pb push_back #define eb emplace_back #define vi vector<int> #define all(x) (x).begin() , (x).end() #define mem( a ) memset( a , 0 , sizeof a ) typedef long long ll; int n , m; char ch[MAXN]; int A[MAXN] , a[MAXN] , B[MAXN] , mn[MAXN] , mmn = 0x3f3f3f3f; bool us[MAXN]; void solve() { scanf("%s",ch + 1); n = strlen( ch + 1 ); int mx = 0 , ps; rep( i , 1 , n ) { if( ch[i] == '?' || ch[i] == '0' ) A[i] = A[i - 1] - 1; else A[i] = A[i - 1] + 1; a[i] = A[i]; mx = max( mx , A[i] ); } rep( i , 0 , n ) if( A[i] == mx ) ps = i; B[n] = A[n]; per( i , n - 1 , 1 ) B[i] = max( A[i] , B[i + 1] ); int t = 0; rep( i , ps , n ) { if( ch[i] == '?' && B[i] + t <= mx - 2 ) t += 2 , us[i] = 1; A[i] += t; } mmn = 0; rep( i , 1 , n ) mmn = min( mmn , A[i] ); int as = mx - mmn , chp = 0; mem( us ); rep( i , 1 , n ) A[i] = a[i]; t = 0; rep( i , ps , n ) { if( ch[i] == '?' && B[i] + t <= mx - 1 ) t += 2 , us[i] = 1; A[i] += t; } mmn = 0; rep( i , 1 , n ) mmn = min( mmn , A[i] ); int as1 = mx + 1 - mmn , chp1 = 0; printf("%d\n",min( as1 , as )); } signed main() { // int T;cin >> T;while( T-- ) solve(); solve(); }
#include <bits/stdc++.h> #define rep(i,n) for (int i = 0; i < (n); ++i) #define chmax(a, b) a = max(a, b); #define chmin(a, b) a = min(a, b); using namespace std; using ll = long long; using P = pair<int,int>; int main() { string s; cin >> s; vector<int> d; d.push_back(0); int now = 0; rep(i, s.size()) { now += (s[i] == '1' ? -1 : 1); d.push_back(now); } int mx = 0, mn = 0; for(int di: d) { chmax(mx, di); chmin(mn, di); } int mxind; rep(i, d.size()) { if (d[i] == mx) { mxind = i; break; } } // smallest index int mnind; rep(i, d.size()) { if (d[i] == mn) { mnind = i; } } // largest index if (mxind < mnind) { cout << mx - mn << endl; return 0; } int mx2 = mn; rep(i, mnind) chmax(mx2, d[i]); int ans = 1001001001; rep(_, 2) { priority_queue<P> q; for(int i = mnind + 1; i < d.size(); i++) { q.emplace(-d[i], i); } int cnt = 0; int tmx = mn; for(int i = mnind; i < mxind; i++) { while(q.top().second <= i) q.pop(); if (s[i] == '?' && -q.top().first - (cnt + 1) * 2 >= mn) { cnt += 1; } chmax(tmx, d[i+1] - cnt * 2); } chmin(ans, max(tmx, mx2) - mn); mn--; } cout << ans << endl; }
#include <iostream> #include <cstdio> #include <cstring> char s[1010000]; int n; bool check(int len) { int l = -len, r = 0; int type = 1; for(int i = n; i >= 1; i--) { if(s[i] == '0') { if(r + len == 0) return 0; else { r--; if(l + len == 0) l += type; l--; } } if(s[i] == '1') { if(l == 0) return 0; else { l++; if(r == 0) r -= type; r++; } } if(s[i] == '?') { if(l == r) { if(l == 0) l--, r--; else if(l + len == 0) l++, r++; else { type = 2; l--; r++; } } else { if(l + len == 0) l += type; l--; if(r == 0) r -= type; r++; } } } return 1; } int main() { scanf("%s", s + 1); n = strlen(s + 1); int l = 1, r = n + 1; while(l < r) { int mid = l + r >> 1; if(check(mid)) r = mid; else l = mid + 1; } printf("%d\n", r); }
#include <iostream> #include <limits> using namespace std; int main() { string s; cin >> s; int maxPrefix = 0, prefix[s.size() + 1]; prefix[0] = 0; for (int i = 1; i <= s.size(); ++i) { if (s[i - 1] == '1') { prefix[i] = prefix[i - 1] + 1; } else { prefix[i] = prefix[i - 1] - 1; } maxPrefix = max(maxPrefix, prefix[i]); } auto solve = [&](int maxPrefix) { int capacity[s.size()]; for (int i = s.size(), j = numeric_limits<int>::max(); i > 0; --i) { j = min(j, maxPrefix - prefix[i]); capacity[i - 1] = j / 2; } int sum = 0, result = 0, count = 0; for (int i = 0; i < s.size(); ++i) { if (s[i] == '1') { ++sum; } else if (s[i] == '0') { --sum; } else if (capacity[i] > count) { ++sum; ++count; } else { --sum; } result = min(result, sum); } return result; }; cout << min(maxPrefix - solve(maxPrefix), maxPrefix + 1 - solve(maxPrefix + 1)); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000010; int n, suf[maxn]; char s[maxn]; int main() { scanf("%s", s + 1), n = strlen(s + 1); int mx = 0; for (int i = 1, cur = 0; i <= n; i++) { if (s[i] ^ '1') cur++; else mx = min(mx, --cur); } auto chk = [&](int x) { for (int i = n; i; i--) { suf[i] = min(0, suf[i + 1] + (s[i] ^ '1' ? 1 : -1)); } int y = 0; for (int i = 1, cur = 0; i <= n; i++) { if (s[i] == '0') cur++; else if (s[i] == '1') cur--; else if (cur - 1 + suf[i + 1] >= x) cur--; else cur++; y = max(y, cur); } return y - x; }; printf("%d\n", min(chk(mx), chk(mx - 1))); return 0; }
#include<bits/stdc++.h> #define ll long long #define lld long double using namespace std; template<typename tn> void read(tn &a){ tn x=0,f=1; char c=' '; for(;!isdigit(c);c=getchar()) if(c=='-') f=-1; for(;isdigit(c);c=getchar()) x=x*10+c-'0'; a=x*f; } const int N = 1001000; char c[N]; int n,s[N],mx[N]; int solve(int lim){ for(int i=1;i<=n;i++){ s[i]=s[i-1]+(c[i]=='1'?1:-1); if(s[i]>lim) return -1; } mx[n]=s[n]; for(int i=n-1;i;i--) mx[i]=max(mx[i+1],s[i]); int tag=0,mn=0; for(int i=1;i<=n;i++){ if(c[i]!='?'){mn=min(mn,tag+s[i]);continue;} if(mx[i]+tag+2<=lim) tag+=2; mn=min(mn,tag+s[i]); } return lim-mn; } int main(){ ios::sync_with_stdio(0); cin>>c+1; n=strlen(c+1); int P=0,now=0; for(int i=1;i<=n;i++) now+=(c[i]=='1'?1:-1),P=max(P,now); int ans=1e9; for(int i=P;i<=P+1;i++) ans=min(ans,solve(i)); cout<<ans<<'\n'; return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i, a, b) for (int i = (a), i##end = (b); i <= i##end; ++i) #define per(i, a, b) for (int i = (a), i##end = (b); i >= i##end; --i) mt19937 Rnd(chrono::high_resolution_clock::now().time_since_epoch().count()); template <typename T> inline void chkmax(T &x, T y) { if (x < y) x = y; } template <typename T> inline void chkmin(T &x, T y) { if (x > y) x = y; } inline int read() { #define nc getchar() int x = 0; char c = nc; while (c < 48) c = nc; while (c > 47) x = x * 10 + (c ^ 48), c = nc; return x; #undef nc } typedef long long ll; const int maxn = 1e6 + 10; char str[maxn]; int n, A[maxn], B[maxn], tmp[maxn]; void solve() { scanf("%s", str + 1); n = strlen(str + 1); int mx = 0, pos = 0; rep(i, 1, n) { A[i] = A[i - 1] + (str[i] == '1' ? 1 : -1); if (mx <= A[i]) mx = A[i], pos = i; } memcpy(tmp, A, sizeof A); B[n] = A[n]; per(i, n - 1, 1) B[i] = max(B[i + 1], A[i]); int s = 0; rep(i, pos, n) { if (str[i] == '?' && B[i] + s <= mx - 2) s += 2; A[i] += s; } int mn = 0; rep(i, 1, n) chkmin(mn, A[i]); int res1 = mx - mn; memcpy(A, tmp, sizeof A); s = 0; rep(i, pos, n) { if (str[i] == '?' && B[i] + s <= mx - 1) s += 2; A[i] += s; } mn = 0; rep(i, 1, n) chkmin(mn, A[i]); int res2 = mx - mn + 1; cout << min(res1, res2) << endl; } int main() { // int T = read(); // while (T--) solve(); solve(); return 0; }
#include <bits/stdc++.h> #define pb push_back #define pll pair <ll, ll> #define mp make_pair #define pyshnapyshnakaa ios_base :: sync_with_stdio(0); cin.tie(0); cout.tie(0); #define x first #define y second #pragma GCC optimize("O3") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #define plll pair <pair <ll, ll>, ll> #define pllll pair <pair <ll, ll>, pair <ll, ll> > #define psl pair <string, ll> #define all(a) a.begin(), a.end() #define vvl vector <vector <ll> > typedef long long ll; typedef long double ld; using namespace std; const ll maxn = 1e6; ll n, m, k, t; string s; vector <ll> S; ll getf(ll mx) { // cout << "MX " << mx << endl; ll mn = 0; ll q; ll d = 0; ll cur = 0; for (q = 0; q < s.length(); q++) { // cout << q << " " << S[q] << endl; if (s[q] == '0') { // cout << "cur " << cur << endl << endl; cur--; mn = min(mn, cur); continue; } if (s[q] == '1') { cur++; // cout << "cur " << cur << endl << endl; mn = min(mn, cur); continue; } if (S[q] + d + 2 <= mx) { // cout << q << " UP" << endl; d += 2; cur++; } else { cur--; } // cout << "cur " << cur << endl << endl; mn = min(mn, cur); } // cout << mx - mn << " GETF" << endl << endl; return mx - mn; } int main() { pyshnapyshnakaa; ll q, w, e, a, b, c; cin >> s; n = s.length(); S.resize(n); ll z = 0; ll cur = 0; for (q = 0; q < s.length(); q++) { if (s[q] == '1') { cur++; } else { cur--; } S[q] = cur; z = max(z, cur); } // cout << "Z " << z << endl; for (q = n - 2; q >= 0; q--) { S[q] = max(S[q], S[q + 1]); } ll ans = min(getf(z), getf(z + 1)); cout << ans; return 0; }
#include<bits/stdc++.h> #define rep(i,a,b) for(int i=(a);i<=(b);++i) using namespace std; const int N=1000005; int n;char s[N]; bool chk(int mid){ rep(_,0,1){ int k1=_,k2=mid; if((k2&1)!=(k1&1))--k2; rep(i,1,n){ if(s[i]=='0')--k1,--k2;else if(s[i]=='1')++k1,++k2;else --k1,++k2; if(k1<0)k1+=2; if(k2>mid)k2-=2; if(k1>k2)goto gg; } return 1; gg:; } return 0; } int main(){ scanf("%s",s+1),n=strlen(s+1); if(n==1){puts("1");return 0;} int l=0,r=1e6,ans=1e6; while(l<=r){ int mid=(l+r)>>1; if(chk(mid))ans=mid,r=mid-1; else l=mid+1; } printf("%d\n",ans); return 0; }
#include <iostream> #include <string> #include <vector> #include <algorithm> #include <set> using namespace std; int main(void){ string S; cin >> S; int Zbuf=0; int Z=0; multiset<int, greater<int>> csum; for(int i=0; i<S.size(); i++){ if(S[i] == '1'){ Zbuf++; }else Zbuf--; Z=max(Z, Zbuf); csum.insert(Zbuf); } Zbuf = 0; int Zbuf0 = 0; int Zbuf1 = 0; int fZ0 = 0; int fZ1 = 0; int Zbuf0diff = 0; int Zbuf1diff = 0; for(int i=0; i<S.size(); i++){ switch(S[i]){ case '0': Zbuf--; Zbuf0--; Zbuf1--; break; case '1': Zbuf++; Zbuf0++; Zbuf1++; break; default: Zbuf--; int MaxRight = *(csum.begin()); if(MaxRight+Zbuf0diff+2 <= Z){ Zbuf0++; Zbuf0diff += 2; }else{ Zbuf0--; } if(MaxRight+Zbuf1diff+2 <= Z+1){ Zbuf1++; Zbuf1diff += 2; }else{ Zbuf1--; } } fZ0=min(fZ0, Zbuf0); fZ1=min(fZ1, Zbuf1); csum.erase(csum.find(Zbuf)); } cout << min(Z-fZ0, Z+1-fZ1) << endl; return 0; }
#include <iostream> #include <algorithm> #include <string> #include <vector> #include <cmath> #include <map> #include <queue> #include <iomanip> #include <set> #include <tuple> #define mkp make_pair #define mkt make_tuple #define rep(i,n) for(int i = 0; i < (n); ++i) using namespace std; typedef long long ll; const ll MOD=1e9+7; template<class T> void chmin(T &a,const T &b){if(a>b) a=b;} template<class T> void chmax(T &a,const T &b){if(a<b) a=b;} int main(){ cin.tie(0); ios::sync_with_stdio(false); string S; cin>>S; int N=S.size(); int dep=0; vector<int> d(N+1,0); for(int i=0;i<N;i++){ if(S[i]=='0'||S[i]=='?') dep--; else dep++; d[i+1]=dep; } for(int i=N-1;i>=0;i--) chmax(d[i],d[i+1]); int Z=d[0]; int mxs=Z; int ans=N; rep(k,2){ int mis=0; int dep=0; int pls=0; for(int i=0;i<N;i++){ if(S[i]=='0') dep--; else if(S[i]=='1') dep++; else{ if(d[i+1]+2*pls+2<=mxs){ dep++; pls++; }else{ dep--; } } chmin(mis,dep); } chmin(ans,mxs-mis); mxs++; } cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 6; char s[N], t[N]; int f[N], rig[N]; int n; int calc(int maxi) { int add = 0; for (int i = 0; i < n; ++i) { if (s[i] != '?') continue; if (rig[i+1] + (add + 1) * 2 <= maxi) { ++add; s[i] = '1'; } else { s[i] = '0'; } } int now = 0, low = 0, hig = 0; // printf("%s\n", s); for (int i = 0; i < n; ++i) { now += (s[i] == '1' ? 1 : -1); low = min(low, now); hig = max(hig, now); } return abs(hig - low); } int main() { scanf("%s", s); n = strlen(s); f[0] = 0; int maxi = 0; for (int i = 0; i < n; ++i) { f[i+1] = f[i] + (s[i] == '1') * 2 - 1; maxi = max(maxi, f[i+1]); } rig[n] = f[n]; for (int i = n-1; i >= 0; --i) { rig[i] = max(rig[i+1], f[i]); } for (int i = 0; i < n; ++i) t[i] = s[i]; int ans = calc(maxi); for (int i = 0; i < n; ++i) s[i] = t[i]; ans = min(ans, calc(maxi+1)); for (int i = 0; i < n; ++i) s[i] = t[i]; ans = min(ans, calc(maxi+2)); printf("%d\n", ans); return 0; }
#include<bits/stdc++.h> #define ll long long #define ld long double #define db double #define pint pair<int,int> #define mk(x,y) make_pair(x,y) #define pb(x) push_back(x) #define eb(x,y) emplace_back(x,y) #define fi first #define se second #define Rep(x,y,z) for(int x=y;x<=z;x++) #define Red(x,y,z) for(int x=y;x>=z;x--) using namespace std; const int MAXN=1e6+5; char buf[1<<12],*pp1=buf,*pp2=buf,nc;int ny; //inline char gc() {return pp1==pp2&&(pp2=(pp1=buf)+fread(buf,1,1<<12,stdin),pp1==pp2)?EOF:*pp1++;} inline char gc(){return getchar();} inline int read(){ int x=0;for(ny=1;nc=gc(),(nc<48||nc>57)&&nc!=EOF;)if(nc==45)ny=-1;if(nc<0)return nc; for(x=nc-48;nc=gc(),47<nc&&nc<58&&nc!=EOF;x=(x<<3)+(x<<1)+(nc^48));return x*ny; } char s[MAXN];int n,a[MAXN],Min[MAXN]; inline int Solve(int lim){ static int b[MAXN];int cnt=0; Rep(i,1,n){ if(s[i]=='?'&&Min[i]-2*cnt-2>=lim)cnt++; b[i]=a[i]-2*cnt; }int Max=0;Rep(i,1,n)Max=max(Max,b[i]); return Max-lim; } int main(){ // freopen("std.in","r",stdin); // freopen("std.out","w",stdout); scanf("%s",s+1),n=strlen(s+1); Rep(i,1,n)if(s[i]=='0')a[i]=a[i-1]-1;else a[i]=a[i-1]+1; Min[n+1]=n+5;Red(i,n,0)Min[i]=min(Min[i+1],a[i]); cout<<min(Solve(Min[0]),Solve(Min[0]-1)); return 0; }
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> using namespace std; const int N=1000005; const int INF=1061109567; int n; char s[N]; int a[N]; int sum[N]; int suf[N]; int calc(int Min) { static int b[N]; int add=0; for(int i=1;i<=n;i++) { if(s[i]=='?'&&suf[i]-add-2>=Min) add+=2; b[i]=sum[i]-add; } int Max=max(*max_element(b+1,b+n+1),0); return Max-Min; } int main() { scanf("%s",s+1); n=strlen(s+1); for(int i=1;i<=n;i++) if(s[i]=='1'||s[i]=='?') a[i]=1; else if(s[i]=='0') a[i]=-1; for(int i=1;i<=n;i++) sum[i]=sum[i-1]+a[i]; suf[n+1]=INF; for(int i=n;i>=1;i--) suf[i]=min(suf[i+1],sum[i]); int m=min(*min_element(sum+1,sum+n+1),0); printf("%d",min(calc(m),calc(m-1))); return 0; }
#include<bits/stdc++.h> using namespace std; typedef long long LL; const int N=1001001; char s[N]; int n; int main(){ ios::sync_with_stdio(false); cin>>s; n=strlen(s); int l=0,r=0; int l0=0,r0=0; int l1=l-2; int r1=r+2; for(int i=0;i<n;i++){ char c=s[i]; if(c=='1'){ l0++; r0++; if(l1!=l-2)l1++; if(r1!=r+2)r1++; } else if(c=='0'){ l0--; r0--; if(l1!=l-2)l1--; if(r1!=r+2)r1--; } else{ l0--; r0++; if(l1!=l-2)l1--; if(r1!=r+2)r1++; } int d=(r0-l0)%2==0?2:1; if(l0<l){ l1=l0; l0+=d; } if(r0>r){ r1=r0; r0-=d; } if(l0>r0){ if(l1!=l-2&&r1!=r+2){ l0=l1; r0=r1; if(l1<l){ l--; r0--; } else{ r++; l0++; } l1=l-2; r1=r+2; } else if(l1!=l-2){ l--; l0=r0=l1; l1=l-2; } else{ r++; l0=r0=r1; r1=r+2; } } // cerr<<l<<" "<<r<<" "<<l0<<" "<<r0<<" "<<l1<<" "<<r1<<endl; } int ans=r-l; cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 1e6 + 10; int n, m; int sum[maxN + 1], mx[maxN + 1]; char s[maxN + 1]; inline int solve(int rule) { int res = 0, mn = 0; for(int i = 1; i <= n; i++) { if(s[i] == '?' && mx[i] + res + 2 <= rule) res += 2; mn = min(mn, sum[i] + res); } return mn; } int main() { scanf("%s", s + 1); n = strlen(s + 1); for(int i = 1; i <= n; i++) if(s[i] == '1') sum[i] = sum[i - 1] + 1; else sum[i] = sum[i - 1] - 1; mx[n] = sum[n]; for(int i = n - 1; i >= 1; i--) mx[i] = max(mx[i + 1], sum[i]); m = max(0, mx[1]); printf("%d\n", min(m - solve(m), m + 1 - solve(m + 1))); return 0; }
#include<bits/stdc++.h> using namespace std; const int N=1e6+5; char s[N]; int sum[N],mx[N],n; int f(int M){ for(int i=1,cnt=0;i<=n;++i){ if(s[i]=='?'){ if((cnt+1)*2+mx[i]<=M) ++cnt,sum[i]=1; else sum[i]=-1; } else sum[i]=(s[i]=='0'?-1:1); sum[i]+=sum[i-1]; } return *min_element(sum,sum+n+1); } int main(){ cin>>(s+1);n=strlen(s+1); for(int i=1;i<=n;++i){ if(s[i]=='?') sum[i]=-1; if(s[i]=='1') sum[i]=1; if(s[i]=='0') sum[i]=-1; sum[i]+=sum[i-1]; } for(int i=n;i>=0;--i) if(i+1<=n)mx[i]=max(sum[i],mx[i+1]); else mx[i]=sum[i]; //for(int i=0;i<=n;++i)cout<<mx[i]<<" ";cout<<endl; int Z=mx[0]; cout<<min(Z-f(Z),Z+1-f(Z+1)); return 0; }
#include <iostream> #include <string> #include <algorithm> using namespace std; const int MAXN = 1000010; int suffix_one[MAXN]; int suffix_zero[MAXN]; int main() { string s; cin >> s; int suffix_0 = 0; int suffix_1 = 0; for (int i = s.size(); i > 0; i--) { suffix_one[i] = suffix_1; suffix_zero[i] = suffix_0; if (s[i - 1] == '1') { suffix_1++; suffix_0--; } else if (s[i - 1] == '0') { suffix_1--; suffix_0++; } else { suffix_1--; suffix_0--; } suffix_1 = max(suffix_1, 0); suffix_0 = max(suffix_0, 0); } int left = 0, right = s.size(); while (left < right) { bool flag = true; int mid = (left + right) / 2; int allowed_1 = mid; int allowed_0 = mid; for (int i = 0; flag && i < s.size(); i++) { if (s[i] == '1') { if (allowed_1 <= 0) { flag = false; } allowed_1--; allowed_0++; } else if (s[i] == '0') { if (allowed_0 <= 0) { flag = false; } allowed_1++; allowed_0--; } else { int capacity_1 = allowed_1 - suffix_one[i + 1]; int capacity_0 = allowed_0 - suffix_zero[i + 1]; bool favor_1 = capacity_1 > capacity_0; if (capacity_1 == capacity_0 && allowed_1 > allowed_0) { favor_1 = true; } if (allowed_1 > 0 && allowed_1 - 1 >= suffix_one[i + 1] && favor_1) { allowed_1--; allowed_0++; } else if (allowed_0 > 0 && allowed_0 - 1 >= suffix_zero[i + 1]) { allowed_1++; allowed_0--; } else { flag = false; break; } } allowed_1 = min(allowed_1, mid); allowed_0 = min(allowed_0, mid); } if (flag) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5; int n; char s[N]; int sum[N], pmx[N], pmi[N]; int main() { scanf("%s", s + 1); n = strlen(s + 1); sum[0] = 0; pmx[0] = 0; pmi[0] = 0; for (int i = 1; i <= n; i++) { sum[i] = sum[i - 1] + 1 - 2 * (s[i] == '0'); pmx[i] = max(pmx[i - 1], sum[i]); pmi[i] = min(pmi[i - 1], sum[i]); } int suf_mi = sum[n], suf_mx = sum[n]; int ans = pmx[n] - pmi[n]; for (int i = n; i; i--) { suf_mi = min(suf_mi, sum[i]); suf_mx = max(suf_mx, sum[i]); if (s[i] == '?') { if (pmx[i - 1] < suf_mx) { ans = min(ans, max(pmx[i - 1], suf_mx - 2) - min(pmi[i - 1], suf_mi - 2)); } if (pmx[i - 1] + 1 < suf_mx) { suf_mx -= 2; suf_mi -= 2; ans = min(ans, max(pmx[i - 1], suf_mx) - min(pmi[i - 1], suf_mi)); } } } suf_mi = sum[n], suf_mx = sum[n]; bool found = false; for (int i = n; i; i--) { suf_mi = min(suf_mi, sum[i]); suf_mx = max(suf_mx, sum[i]); if (s[i] == '?') { if (pmx[i - 1] + 1 == suf_mx) { ans = min(ans, max(pmx[i - 1], suf_mx - 2) - min(pmi[i - 1], suf_mi - 2)); if (!found) { suf_mi -= 2; suf_mx -= 2; found = true; } } else if (pmx[i - 1] + 1 < suf_mx) { suf_mx -= 2; suf_mi -= 2; ans = min(ans, max(pmx[i - 1], suf_mx) - min(pmi[i - 1], suf_mi)); } } } printf("%d\n", ans); return 0; }
//Awwawa! Dis cold yis ratten buy tEMMIE! #include <bits/stdc++.h> #define ll long long #define maxn 1000005 /*rem*/ #define mod 998244353 #define db double #define vi vector<int> #define pb push_back #define mp make_pair #define pi pair<int, int> #define fi first #define se second template <typename T> bool chkmax(T &x,T y){return x<y?x=y,true:false;} template <typename T> bool chkmin(T &x,T y){return x>y?x=y,true:false;} using namespace std; ll ksm(ll a, ll b) { if (!b) return 1; ll ns = ksm(a, b >> 1); ns = ns * ns % mod; if (b & 1) ns = ns * a % mod; return ns; } char s[maxn]; int n; bool check(int x) { pi r[2] = {mp(0, x), mp(0, x)}; for (int i = 1; i <= n; i++) { pi cur[2] = {mp(maxn * 10, -maxn * 10), mp(maxn * 10, -maxn * 10)}; pi fr[2] = {r[0], r[1]}; for (int i = 0; i < 2; i++) { if (fr[i].se % 2 != i) fr[i].se--; if (fr[i].fi % 2 != i) fr[i].fi++; } for (int j = 0; j < 2; j++) { int tp = j * 2 - 1; if (s[i] != '0' + j) { for (int s = 0; s < 2; s++) { pi ed = mp(fr[s].fi + tp, fr[s].se + tp); chkmax(ed.fi, 0), chkmin(ed.se, x); if (ed.fi > ed.se) continue; chkmin(cur[s ^ 1].fi, ed.fi); chkmax(cur[s ^ 1].se, ed.se); } } } // cout << i << ' ' << r[0].fi << ' ' << r[1].fi << ' ' << r[0].se << ' ' << r[1].se << endl; r[0] = cur[0]; r[1] = cur[1]; for (int i = 0; i < 2; i++) { if (r[i].se % 2 != i) r[i].se--; if (r[i].fi % 2 != i) r[i].fi++; } } if (r[0].fi <= r[0].se || (r[1].fi <= r[1].se)) return 1; return 0; } int main() { scanf("%s", s + 1); n = strlen(s + 1); int l = 0, r = n; check(1); // while (1); while (l < r) { int mid = (l + r) >> 1; if (check(mid)) r = mid; else l = mid + 1; } cout << l << endl; return 0; }
#include<algorithm> #include<iostream> #include<vector> #include<cstdio> #include<cstring> using namespace std; const int N=2e6+5; const int inf=1e9; char s[N]; int n,a[N],b[N]; int go(int z){ int res=0,ans=0; for(int i=0;i<n;i++){ if(s[i]=='?'&&a[i]+res+2<=z) res+=2; ans=min(ans,b[i]+res); } return z-ans; } int main(){ //freopen(".in","r",stdin); //freopen(".out","w",stdout); int sum=0; scanf("%s",s),n=strlen(s); for(int i=0;i<n;i++){ if(s[i]=='0') ++sum; else --sum; a[i]=b[i]=sum; } for(int i=n-2;~i;i--) a[i]=max(a[i],a[i+1]); printf("%d\n",min(go(max(0,a[0])),go(max(0,a[0])+1))); return 0; }
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> using namespace std; #define ll long long const int N = 1e6+7; char s[N]; int len; int sum[N],maxn[N],n; int get(int p){ int ans = 0,tot = 0; for(int i = 1; i <= n; i++){ if(s[i] == '?' && tot + 2 + maxn[i] <= p) tot += 2; ans = min(sum[i] + tot,ans); } return ans; } int main(){ cin >> (s+1); n = strlen(s+1); for(int i = 1; i <= n; i++) if(s[i] == '1') sum[i] = sum[i-1] + 1; else sum[i] = sum[i-1] - 1; maxn[n] = sum[n]; for(int i = n-1; i > 0; i--) maxn[i] = max(maxn[i+1],sum[i]); int m = max(0,maxn[1]); cout << min(m-get(m),m+1-get(m+1)); }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5; int _w; char str[N]; int n , l , r , mid , res , L , R; int main( void ) { _w = scanf("%s",str+1); n = strlen( str + 1 ); l = 0 , r = n , res = n; bool flag , _f; while( l <= r ) { mid = ( l + r ) >> 1; flag = 0; for( int _ = 0 ; _ < 2 ; ++_ ) { L = _ , R = mid , _f = 1; if( (_^R) & 1 ) --R; if( L > R ) { _f = 0; } else for( int i = 1 ; i <= n ; ++i ) { if( str[i] == '1' ) ++L , ++R; if( str[i] == '0' ) --L , --R; if( str[i] == '?' ) --L , ++R; if( L < 0 ) L += 2; if( R > mid ) R -= 2; if( L > R ) { _f = 0; break; } } flag |= _f; } if( flag ) res = mid , r = mid - 1; else l = mid + 1; } cout << res; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<ll> vl; typedef vector<vl> vvl; typedef pair<ll,ll> pll; typedef vector<bool> vb; const ll oo = 0x3f3f3f3f3f3f3f3f; const double eps = 1e-9; #define sz(c) ll((c).size()) #define all(c) begin(c), end(c) #define FOR(i,a,b) for (ll i = (a); i < (b); i++) #define FORD(i,a,b) for (ll i = (b)-1; i >= (a); i--) #define mp make_pair #define pb push_back #define eb emplace_back #define xx first #define yy second #define TR(X) ({ if(1) cerr << "TR: " << (#X) << " = " << (X) << endl; }) int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); string s; cin >> s; ll n = sz(s); ll kmin = 0, kmax = n+1; while (kmax-kmin > 1) { ll k = (kmin+kmax)/2; bool ok2 = false; FOR(m,0,2) { bool ok = true; ll lo = m, hi = k; while (hi%2 != m) hi--; if (lo > hi) ok = false; for (char c: s) { if (c == '0') lo++; else if (lo > 0) lo--; else lo++; if (c == '1') hi--; else if (hi < k) hi++; else hi--; if (lo > hi) ok = false; } if (ok) ok2 = true; } if (ok2) kmax = k; else kmin = k; } cout << kmax << endl; }
#include <bits/stdc++.h> using namespace std; #define N 1000100 char s[N]; int n, z, p[N], zp[N], zm[N]; int calc(int m) { int mn = 0; for (int i = 1; i <= n; i ++) { p[i] = p[i-1]; if(s[i] == '0') p[i] --; else if(s[i] == '1') p[i] ++; else if(p[i] + zm[i] - zp[i] < m) p[i] ++; else p[i] --; mn = min(mn, p[i]); } return m - mn; } int main() { scanf("%s", s + 1); n = strlen(s + 1); for(int i = 1; i <= n; i ++) { zp[i] = zp[i-1]; if(s[i] == '1') zp[i] ++; else zp[i] --; z = max(z, zp[i]); } zm[n+1] = -1e9; for(int i = n; i >= 1; i --) zm[i] = max(zm[i+1], zp[i]); printf("%d\n", min(calc(z), calc(z + 1))); }
#include<stdio.h> #include<string.h> #define it register int #define ct const int #define il inline using namespace std; typedef long long ll; #define rll register ll #define cll const ll const int N=1000005; int n,T,s[N],mx[N]; char S[N]; il int Min(ct p,ct q){return p<q?p:q;} int main(){ scanf("%s",S+1),n=strlen(S+1);it i; for(i=1;i<=n;++i) s[i]=s[i-1]+(S[i]=='1'?1:-1); auto cal = [&] (ct x){ for(it i=1,p=0;i<=n;++i){ if(S[i]!='?') s[i]=s[i-1]+(S[i]=='1'?1:-1); if(S[i]=='?') mx[i]+(p+1<<1)<=x?s[i]=s[i-1]+1,++p:s[i]=s[i-1]-1; } it mn=s[0]; for(it i=1;i<=n;++i) mn=(s[i]<mn?s[i]:mn); return mn; }; for(i=n-1,mx[n]=s[n];~i;--i) mx[i]=(mx[i+1]>s[i]?mx[i+1]:s[i]); printf("%d\n",Min(mx[0]-cal(mx[0]),mx[0]+1-cal(mx[0]+1))); return 0; }
#include <bits/stdc++.h> #define ll long long #define db long double #define x first #define y second #define mp make_pair #define pb push_back #define all(a) a.begin(), a.end() using namespace std; bool check(string s, int x) { int l = 0, r = x, step = 1; for (int i = 0; i < s.size(); ++i) { if (l == r) step = 1; if (s[i] == '0') { l--, r--; if (l < 0) { l += step; } if (l > r) { return false; } } else if (s[i] == '1') { l++, r++; if (r > x) { r -= step; } if (l > r) { return false; } } else { if (step == 2 || l != r) { l--, r++; if (l < 0) { l += step; } if (r > x) { r -= step; } if (l > r) { return false; } } else { l--, r++; step = 2; if (l < 0) { l += step; } if (r > x) { r -= step; } if (l > r) { return false; } } } } return true; } int main(){ #ifdef LOCAL freopen("H_input.txt", "r", stdin); //freopen("H_output.txt", "w", stdout); #endif ios_base::sync_with_stdio(0); cin.tie(0); string s; cin >> s; int L = 0, R = 1e7; while (R-L>1) { int M = (L+R)/2; if (check(s, M)) R = M; else L = M; } cout << R; }
/** * code generated by JHelper * More info: https://github.com/AlexeyDmitriev/JHelper * @author cherrypi59 */ #pragma GCC optimize ("O2") #pragma GCC optimize ("tree-vectorize") #pragma GCC target ("sse4") #include <bits/stdc++.h> #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define FFOR(i, a, b) FOR(i, a, b+1) #define REP(i, n) FOR(i, 0, n) #define RREP(i, n) FOR(i, 1, n+1) #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define LEN(x) (int)(x).size() #define DUMP(x) cerr<<__LINE__<<' '<<#x<<"="<<(x)<<endl; #define pb push_back #define eb emplace_back #define mp make_pair using namespace std; using lint = long long; using pii = pair<int, int>; using pll = pair<lint, lint>; template <typename T> using vc = vector<T>; template <typename T> using vvc = vector<vector<T>>; template <typename T> inline bool chmax(T &a, T b){if(a<b){a = b; return true;} return false;} template <typename T> inline bool chmin(T &a, T b){if(a>b){a = b; return true;} return false;} constexpr lint ten(int n) {return n==0 ? 1 : ten(n-1)*10;} class B01Unbalanced { public: int N; string S; vc<int> sums, suff; int f(int mx){ int d = 0, mn = 0; REP(i, N){ if(S[i]=='?' and suff[i+1]+d+2<=mx) d += 2; chmin(mn, sums[i+1]+d); } return mx - mn; } void solve(std::istream& in, std::ostream& out){ ios_base::sync_with_stdio(false); in.tie(nullptr), out.tie(nullptr); in>>S; N = LEN(S); sums.resize(N+1, 0); suff.resize(N+1, 0); REP(i, N){ sums[i+1] = sums[i]; if(S[i]=='0' or S[i]=='?') sums[i+1]--; else sums[i+1]++; } suff[N] = sums[N]; for(int i=N-1;0<=i;--i) suff[i] = max(suff[i+1], sums[i]); int z = *max_element(ALL(sums)); out<<min(f(z), f(z+1))<<'\n'; } }; int main() { B01Unbalanced solver; std::istream& in(std::cin); std::ostream& out(std::cout); solver.solve(in, out); return 0; }
#include<bits/stdc++.h> using namespace std; const int N = 2e6+5; int n; char s[N]; int g[N]; int v[N], h[N]; int main() { scanf("%s",s+1);n=strlen(s+1); int mx=0,ss=0; for(int i=1;i<=n;i++){ if(s[i]=='1')ss++; else ss--; v[i]=h[i]=ss; mx=max(mx,ss); } int mn=0; for(int i=n-1;i;i--)v[i]=max(v[i],v[i+1]); // cerr << mx << "?" << endl; ss=0; for(int i=1;i<=n;i++){ if(s[i]=='1')ss++; else if(s[i]=='0')ss--; else if(s[i]=='?'){ // cerr << ss+1+g[i+1] << " " << mx << endl; if(ss+v[i]+2-h[i-1]<=mx)ss++; else ss--; } // assert(ss<=mx); // cerr << ss << ","; // cerr << g[i+1] << "?" << endl; mn=min(mn,ss); } int ans=mx-mn; mn=ss=0; ++mx; for(int i=1;i<=n;i++){ if(s[i]=='1')ss++; else if(s[i]=='0')ss--; else if(s[i]=='?'){ // cerr << ss+1+g[i+1] << " " << mx << endl; if(ss+v[i]+2-h[i-1]<=mx)ss++; else ss--; } // assert(ss<=mx); // cerr << ss << ","; // cerr << g[i+1] << "?" << endl; mn=min(mn,ss); } ans=min(ans,mx-mn); printf("%d\n",ans); }
#pragma GCC optimize(2) #include<bits/stdc++.h> #define ll long long #define maxn 1000005 #define inf 1e9 #define pb push_back #define rep(i,a,b) for(int i=a;i<=b;i++) #define per(i,a,b) for(int i=a;i>=b;i--) using namespace std; inline int read() { int x=0,w=1; char c=getchar(); while(c<'0'||c>'9') {if(c=='-') w=-1; c=getchar();} while(c<='9'&&c>='0') {x=(x<<1)+(x<<3)+c-'0'; c=getchar();} return w==1?x:-x; } char s[maxn]; int len,suf[maxn],pre[maxn],mn,ans; int main() { scanf("%s",s+1); len=strlen(s+1); mn=0; ans=inf; rep(i,1,len) pre[i]=pre[i-1]+(s[i]=='0'?-1:1),mn=min(mn,pre[i]); suf[len]=pre[len]; per(i,len-1,1) suf[i]=min(suf[i+1],pre[i]); rep(j,1,2) { int mx=0,nw=0,p=0; rep(i,1,len) { if(s[i]!='?') nw+=(s[i]=='0'?-1:1); else { if(suf[i]-pre[i-1]+nw-2>=mn) nw--; else nw++; } p=max(p,nw); } ans=min(ans,p-mn); mn--; } cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main(){ ios_base::sync_with_stdio(false), cin.tie(nullptr); string s; cin >> s; int n = (int)s.size(); vector<int> left0(n+1, 0), left1(n+1, 0); { int min0 = 0; int min1 = 0; int cur0 = 0; int cur1 = 0; for(int i = 0; i < n; i++){ if(s[i] == '0') cur0++; if(s[i] != '0') cur0--; if(s[i] == '1') cur1++; if(s[i] != '1') cur1--; min0 = min(min0, cur0); min1 = min(min1, cur1); left0[i+1] = cur0 - min0; left1[i+1] = cur1 - min1; } } int odd0 = 0, odd1 = 0, even0 = 0, even1 = 0; for(int i = 0; i <= n; i++){ if(i & 1){ odd0 = max(odd0, left0[i]); odd1 = max(odd1, left1[i]); } else { even0 = max(even0, left0[i]); even1 = max(even1, left1[i]); } } int ans = 0; ans = max(ans, odd0); ans = max(ans, odd1); ans = max(ans, even0); ans = max(ans, even1); if(odd0 == even0) ans = max(ans, odd0+1); if(odd1 == even1) ans = max(ans, odd1+1); cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); string S; cin >> S; int N = int(S.size()); int low = 1, high = N; while (low < high) { int mid = (low + high) >> 1; bool good = false; for (int z = 0; z < 2; ++z) { int l = z, r = mid; if ((r - l) & 1) --r; bool fail = false; for (int i = 0; i < N; ++i) { if (S[i] == '1') { ++l, ++r; } else if (S[i] == '0') { --l, --r; } else { --l, ++r; } if (l < 0) l += 2; if (r > mid) r -= 2; if (l > r) { fail = true; break; } } if (!fail) good = true; } if (good) high = mid; else low = mid + 1; } cout << low << "\n"; return 0; }
#include<bits/stdc++.h> #define llong long long #define mkpr make_pair #define x first #define y second #define iter iterator #define riter reversed_iterator #define y1 Lorem_ipsum_ #define tm dolor_sit_amet_ using namespace std; inline int read() { int x = 0,f = 1; char ch = getchar(); for(;!isdigit(ch);ch=getchar()) {if(ch=='-') f = -1;} for(; isdigit(ch);ch=getchar()) {x = x*10+ch-48;} return x*f; } const int mxN = 1e6; char a[mxN+3]; int b[mxN+3]; int s[mxN+3]; int mn[mxN+3]; int n; int main() { scanf("%s",a+1); n = strlen(a+1); int cur = 0,cur2 = 0,lb = 0; for(int i=1; i<=n; i++) {b[i] = (a[i]=='1'?-1:1); s[i] = s[i-1]+b[i]; lb = min(lb,s[i]);} mn[n] = s[n]; for(int i=n-1; i>=0; i--) {mn[i] = min(s[i],mn[i+1]);} int ans = 0; for(int i=1; i<=n; i++) { if(a[i]=='?') { if(mn[i]-cur*2-2>=lb) {cur++; b[i] = -1;} } } for(int i=1; i<=n; i++) {s[i] = s[i-1]+b[i]; ans = max(ans,s[i]);} ans -= lb; for(int i=1; i<=n; i++) {b[i] = (a[i]=='1'?-1:1); s[i] = s[i-1]+b[i];} mn[n] = s[n]; for(int i=n-1; i>=0; i--) {mn[i] = min(s[i],mn[i+1]);} int ans2 = 0; lb--; cur = 0; for(int i=1; i<=n; i++) { if(a[i]=='?') { if(mn[i]-cur*2-2>=lb) {cur++; b[i] = -1;} } } for(int i=1; i<=n; i++) {s[i] = s[i-1]+b[i]; ans2 = max(ans2,s[i]);} ans2 -= lb; printf("%d\n",min(ans,ans2)); return 0; } // printf("ans=%d\n",ans); // printf("b: "); for(int i=1; i<=n; i++) printf("%d ",b[i]); puts(""); // printf("s: "); for(int i=1; i<=n; i++) printf("%d ",s[i]); puts("");
#include <bits/stdc++.h> #define endl '\n' #define fi first #define se second #define MOD(n,k) ( ( ((n) % (k)) + (k) ) % (k)) #define forn(i,n) for (int i = 0; i < n; i++) #define forr(i,a,b) for (int i = a; i <= b; i++) #define all(v) v.begin(), v.end() #define pb(x) push_back(x) using namespace std; typedef long long ll; typedef long double ld; typedef pair<int, int> ii; typedef vector<ll> vi; typedef vector<vi> vvi; typedef vector<ii> vii; const int MX = 1000005; int st[4 * MX], lz[4 * MX]; void push (int i, int j, int pos) { if (i < j) { lz[pos * 2] += lz[pos]; lz[pos * 2 + 1] += lz[pos]; } st[pos] += lz[pos]; lz[pos] = 0; } void update (int i, int j, int pos, int a, int b, int k) { push(i, j, pos); if (j < a || b < i) return; if (a <= i && j <= b) { lz[pos] = k; push(i, j, pos); return; } int m = (i + j) / 2; update(i, m, pos * 2, a, b, k); update(m + 1, j, pos * 2 + 1, a, b, k); st[pos] = max(st[pos * 2], st[pos * 2 + 1]); } int n; string s; int solve (int mx) { memset(st, 0, sizeof(st)); memset(lz, 0, sizeof(lz)); int acu = 0, mn = 0; forn (i, n) { char c = s[i]; if (c == '1') acu++; else acu--; update(1, n, 1, i + 1, i + 1, acu); } acu = 0; forn (i, n) { char c = s[i]; if (c == '1') acu++; else if (c == '0') acu--; else { update(1, n, 1, i + 1, n, 2); if (st[1] <= mx) { acu++; } else { update(1, n, 1, i + 1, n, -2); acu--; } } mn = min(mn, acu); } return mn; } int main () { ios_base::sync_with_stdio(0); cin.tie(0); cin >> s; n = s.size(); int acu = 0, mx = 0; for (int c : s) { if (c == '1') acu++; else acu--; mx = max(mx, acu); } cout << min(mx - solve(mx), mx + 1 - solve(mx + 1)) << endl; return 0; }
#include <bits/stdc++.h> typedef long long int ll; typedef long double ld; #define pb push_back #define pii pair < int , int > #define F first #define S second #define endl '\n' #define int long long #define sync ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0) #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #define kill(x) return cout<<x<<'\n', 0; using namespace std; const int N=1e6+100; ll dp[N]; ll a[N]; int32_t main(){ string s; cin >> s; ll n=s.size(); for (int i=1;i<=n;i++){ if (s[i-1]=='1') a[i]=1; else a[i]=-1; } ll sig=0,ma=0; for (int i=1;i<=n;i++){ sig+=a[i]; ma=max(ma,sig); } for (int i=n;i;i--) dp[i]=max(dp[i],dp[i+1]+a[i]); sig=0; ll mi=0; //cout << ma << endl; ll ans=1e9; for (int j=1;j<=2;j++){ sig=0,mi=0; for (int i=1;i<=n;i++){ if (s[i-1]=='?'){ if (sig+1+dp[i+1]>ma){ sig--; mi=min(mi,sig); } else{ sig++; mi=min(sig,mi); } } else{ sig+=a[i]; mi=min(mi,sig); } } ans=min(ans,ma-mi); ma++; } cout <<ans << endl; }
// B.cpp #include <bits/stdc++.h> using namespace std; const int MAX_N = 1e6 + 200; int n, pre[MAX_N], suf[MAX_N], ans = 0x7fffffff; char str[MAX_N]; void prepare() { for (int i = 1; i <= n; i++) pre[i] = pre[i - 1] + (str[i] == '0' ? -1 : 1); suf[n + 1] = MAX_N; for (int i = n; i >= 0; i--) suf[i] = min(suf[i + 1], pre[i]); } void solve(int lbound) { int bias = 0, upper = 0; for (int i = 1; i <= n; i++) { if (str[i] == '?' && suf[i] - 2 - bias >= lbound) bias += 2; pre[i] -= bias, upper = max(upper, pre[i]); } ans = min(ans, upper - lbound); } int main() { scanf("%s", str + 1), n = strlen(str + 1); prepare(), solve(suf[0]); prepare(), solve(suf[0] - 1); printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> #define rep(i,n) for(int i=0;i<(int)(n);i++) #define FOR(i,n,m) for(int i=(int)(n); i<=(int)(m); i++) #define RFOR(i,n,m) for(int i=(int)(n); i>=(int)(m); i--) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define RITR(x,c) for(__typeof(c.rbegin()) x=c.rbegin();x!=c.rend();x++) #define setp(n) fixed << setprecision(n) template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; } template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } #define ll long long #define vll vector<ll> #define vi vector<int> #define pll pair<ll,ll> #define pi pair<int,int> #define all(a) (a.begin()),(a.end()) #define rall(a) (a.rbegin()),(a.rend()) #define fi first #define se second #define pb push_back #define mp make_pair #define ins insert using namespace std; const int INF=1e9; //------------------------------------------------- int main(void) { cin.tie(0); ios::sync_with_stdio(false); string S; cin>>S; int N = S.size(); vi sum(N+1); rep(i,N){ if (S[i]=='0') sum[i+1]=sum[i]+1; else sum[i+1]=sum[i]-1; } vi maxi(N+1,-INF); RFOR(i,N-1,0){ maxi[i] = max(maxi[i+1],sum[i+1]); } auto getDiff = [&](int x){ int res=0; int c=0; rep(i,N){ if (S[i]=='?' && maxi[i]+c+2<=x) c+=2; chmin(res,sum[i+1]+c); } return x-res; }; int minMax = max(0,maxi[0]); int ans=min(getDiff(minMax), getDiff(minMax+1)); cout<<ans<<"\n"; return 0; }
#include<cstdio> #include<cstring> #include<algorithm> using namespace std; const int maxn=1000005; int n,a[maxn],b[maxn],ans=1e9; char s[maxn]; inline void work(int x){ int cnt=0,now=n; for (int i=0;i<=n;i++){ if(s[i]=='?'&&b[i]+cnt+2<=x) cnt+=2; now=min(now,cnt+a[i]); } ans=min(ans,x-now); } int main(){ scanf("%s",s+1);n=strlen(s+1); for (int i=1;i<=n;i++) b[i]=a[i]=a[i-1]+(s[i]=='1'?1:-1); for (int i=n;i;i--) b[i-1]=max(b[i-1],b[i]); work(b[0]),work(b[0]+1); printf("%d\n",ans); return 0; }
#include<bits/stdc++.h> using namespace std; char s[1001000];int n,P,suf[1001000]; int main() { scanf("%s",s+1);n=strlen(s+1); for(int i=1,now=0;i<=n;i++) { if(s[i]=='1') now++;else now--; P=max(P,now); } for(int i=n;i;i--) { suf[i]=suf[i+1]; if(s[i]=='1') suf[i]++;else suf[i]--; suf[i]=max(suf[i],0); } int ans=n; for(int wzp=P;wzp<=P+1;wzp++) { int res=0,now=0; for(int i=1;i<=n;i++) { if(s[i]=='1') now++; if(s[i]=='0') now--; if(s[i]=='?') { if(suf[i+1]+now+1<=wzp) now++; else now--; } res=min(res,now); } ans=min(ans,wzp-res); } cout<<ans<<endl; }
#include<bits/stdc++.h> using namespace std; #define reg register typedef long long ll; #define INF 0X3F3F3F3F const int MAXS=1000000+5; int n; char str[MAXS]; int a[MAXS],sum[MAXS]; int sMin[MAXS]; inline int Solve(reg int Min){ reg int base=0; static int tmp[MAXS]; for(reg int i=1;i<=n;++i) if(str[i]=='?') if(sMin[i]-base-2>=Min){ base+=2; tmp[i]=-1; } else tmp[i]=1; else tmp[i]=(str[i]=='0')?(-1):(1); int Max=0,sum=0; for(reg int i=1;i<=n;++i){ sum+=tmp[i]; Max=max(Max,sum); } return Max-Min; } int main(void){ scanf("%s",str+1); n=strlen(str+1); for(reg int i=1;i<=n;++i) a[i]=(str[i]=='0')?(-1):(1); for(reg int i=1;i<=n;++i) sum[i]=sum[i-1]+a[i]; sMin[n]=sum[n]; for(reg int i=n-1;i>=0;--i) sMin[i]=min(sMin[i+1],sum[i]); printf("%d\n",min(Solve(sMin[0]),Solve(sMin[0]-1))); return 0; }
#include <iostream> #include <string> using namespace std; int main() { string s; cin >> s; int left = 0, right = s.size(); while (left < right) { int mid = (left + right) / 2; // test mid int even_low = 0; int even_high = mid; bool even_ok = even_high >= even_low; if (mid % 2) { even_high--; } int odd_low = 1; int odd_high = mid; bool odd_ok = odd_high >= odd_low; if (mid % 2 == 0) { odd_high--; } for (int i = 0; i < s.size(); i++) { if (s[i] == '1') { even_low++; even_high++; odd_low++; odd_high++; } else if (s[i] == '0') { even_low--; even_high--; odd_low--; odd_high--; } else { even_low--; even_high++; odd_low--; odd_high++; } swap(even_low, odd_low); swap(even_high, odd_high); swap(even_ok, odd_ok); while (even_low < 0) { even_low += 2; } while (even_high > mid) { even_high -= 2; } while (odd_low < 0) { odd_low += 2; } while (odd_high > mid) { odd_high -= 2; } if (even_high < even_low) { even_ok = false; } if (odd_high < odd_low) { odd_ok = false; } } if (odd_ok || even_ok) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include <iostream> #include<set> #include<vector> #include<string> using namespace std; const int mod=1000000007; int add(int a, int b) { int c=a+b; if(c>=mod)c-=mod; return c; } int dif(int a, int b) { int c=a-b; if(c<0)c+=mod; return c; } int mlt(int a, int b) { long long c=a*1LL*b; return c%mod; } int bp(int a, int b) { if(b==0)return 1; if(b%2==0) { int val=bp(a, b/2); return mlt(val, val); } if(b%2==1) { int val=bp(a, b-1); return mlt(val, a); } } int inv(int a) { return bp(a, mod-2); } void outp(vector<vector<int>>&v) { for(int i=0; i<v.size(); i++) { for(int j=0; j<v[i].size(); j++)cout<<v[i][j]<<' '; cout<<endl; } cout<<endl; } bool tst(string s, int k, int a, int b) { int cura=a, curb=b; for(int j=0; j<s.length(); j++) { if(s[j]=='0') { if(curb==k) curb--; else curb++; cura++; if(cura>curb)return false; if(cura<0)return false; } if(s[j]=='1') { curb--; cura--; if(cura<0)cura+=2; if(cura>curb)return false; } if(s[j]=='?') { cura--; if(cura<0)cura=1; curb++; if(curb>k)curb-=2; if(cura>curb)return false; } } return true; } bool check(string s, int k) { if(k%2==0) { if(tst(s, k, 0, k))return true; if(tst(s, k, 1, k-1))return true; return false; } else { if(tst(s, k, 0, k-1))return true; if(tst(s, k, 1, k))return true; return false; } } int main() { string s; cin>>s; int n=s.length(); vector<int>l0(n+1), l1(n+1); int maxval=0; for(int i=1; i<=n; i++) { if(s[i-1]=='0') { l0[i]=l0[i-1]+1; } else{ l0[i]=max(l0[i-1]-1, 0); } if(s[i-1]=='1') { l1[i]=l1[i-1]+1; } else{ l1[i]=max(l1[i-1]-1, 0); } maxval=max(maxval, l0[i]); maxval=max(maxval, l1[i]); } if(check(s, maxval))cout<<max(maxval,1)<<endl; else cout<<maxval+1<<endl; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using PII = pair<int, int>; using VI = vector<int>; #define fst first #define snd second const int INF = 1e9; bool valid(const string& s, int lim) { // cerr << "> lim = " << lim << endl; const int olim = lim - (1 - lim%2), elim = lim - (lim%2); int olo = 1, ohi = olim; int elo = 0, ehi = elim; for (char c: s) { swap(olo, elo); swap(ohi, ehi); if (c == '0' || c == '?') { olo = max(1, olo - 1); elo = max(0, elo - 1); } else { olo++; if (olo > lim) olo = INF; elo++; if (elo > lim) elo = INF; } if (c == '1' || c == '?') { ohi = min(olim, ohi + 1); ehi = min(elim, ehi + 1); } else { ohi--; if (ohi < 0) ohi = -INF; ehi--; if (ehi < 0) ehi = -INF; } // fprintf(stderr, ">> odd: [%d, %d], even: [%d, %d]\n", olo, ohi, elo, ehi); } return olo <= ohi || elo <= ehi; } int main() { #ifdef LOCAL_EXEC // freopen("sample.in", "r", stdin); // freopen("sample.out", "w", stdout); #else ios_base::sync_with_stdio(false); cin.tie(NULL); #endif string s; cin >> s; int lo = 1, hi = s.size(); while (lo < hi) { int mid = (lo + hi) / 2; if (valid(s, mid)) { hi = mid; } else { lo = mid + 1; } } cout << lo << endl; return 0; }
#include <algorithm> #include <assert.h> #include <bitset> #include <chrono> #include <cstring> #include <functional> #include <iostream> #include <istream> #include <map> #include <numeric> #include <ostream> #include <queue> #include <set> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> #include <iostream> #include <iomanip> #include <math.h> #include <cmath> #include <array> #include <complex> #define endl '\n' using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); string s; cin >> s; vector<int> pre(s.length()); int x = 0, m = 0; for (int i = 0; i < s.length(); ++i) { x += s[i] == '0' ? +1 : -1; m = max(x, m); pre[i] = x; } vector<int> pre_rev = pre; for (int i = (int)s.length() - 2; i >= 0; --i) pre_rev[i] = max(pre_rev[i], pre_rev[i + 1]); pre_rev.push_back(-1000000000); int res = s.length(); for (int j = 0; j < 2; ++j) { int z = m + j, l = 0, x = 0, k = 0; for (int i = 0; i < s.length(); ++i) { if (s[i] == '?') { if (max(x + 1, pre_rev[i + 1] + 2 * (k + 1)) <= z) { x += 1; k += 1; } else { x--; } } else if (s[i] == '0') { x++; } else { x--; } l = min(l, x); } res = min(res, z - l); } cout << res << endl; return 0; }
#include<bits/stdc++.h> using namespace std; typedef long double ld; const int N=1000005,M=1000000007; int n,i,j,ans,l,r,al,ar,sp; char c[N]; void rt(int m,int l,int r) { for(i=strlen(c+1);i>=1;--i) { if(c[i]=='0') { --l; --r; if(l<0) l+=2; } if(c[i]=='1') { ++l,++r; if(r>m) r-=2; } if(c[i]=='?') { --l; if(l<0) l+=2; ++r; if(r>m) r-=2; } if(l>r||l>m||r<0) { al=1; ar=0; return; } } al=l,ar=r; } bool check(int m) { int i; int a[2][2],b[2][2]; rt(m,0,m/2*2); a[0][0]=al,a[0][1]=ar; rt(m,1,(m&1?m:m-1)); a[1][0]=al,a[1][1]=ar; for(i=1;c[i];++i) if(c[i]=='0') c[i]='1'; else if(c[i]=='1') c[i]='0'; rt(m,0,m/2*2); b[0][0]=m-ar,b[0][1]=m-al; rt(m,1,(m&1?m:m-1)); b[1][0]=m-ar,b[1][1]=m-al; if(m&1) { swap(b[0][0],b[1][0]); swap(b[0][1],b[1][1]); } for(i=1;c[i];++i) if(c[i]=='0') c[i]='1'; else if(c[i]=='1') c[i]='0'; if(min(a[0][1],b[0][1])>=max(a[0][0],b[0][0])||min(a[1][1],b[1][1])>=max(a[1][0],b[1][0])) return true; else return false; } int main() { scanf("%s",c+1); int l=1,r=strlen(c+1); while(l<r) { int mid=l+r>>1; if(check(mid)) r=mid; else l=mid+1; } cout<<l; }
#include<iostream> #include<string> #include<algorithm> #include<cstdlib> template<typename T> void fin(T const& t){ std::cout << t << std::endl; exit(0); } int main() { std::cin.tie(0); std::ios::sync_with_stdio(false); std::string s; std::cin >> s; int a0 = 0, a1 = 1, b0 = 0, b1 = -1; int c0 = a0-b0, c1 = a0-b1, c2 = a1-b0, c3 = a1-b1; for(auto c: s) { if(c=='0') { --a0; --a1; --b0; --b1; } else if(c=='1') { ++a0; ++a1; ++b0; ++b1; } else { --a0; --a1; ++b0; ++b1; } if(a0 < 0) a0 += 2; if(a1 < 0) a1 += 2; if(b0 > 0) b0 -= 2; if(b1 > 0) b1 -= 2; c0 = std::max(c0, a0-b0); c1 = std::max(c1, a0-b1); c2 = std::max(c2, a1-b0); c3 = std::max(c3, a1-b1); } fin(std::min(std::min(c0, c1), std::min(c2, c3))); return 0; }
#include <iostream> #include <algorithm> #include <string> using namespace std; bool p[1000009]; int a[1000009], n, mni, mxi, ul; bool ps(int dl) { int l = 0, r = 0; for (int i = 0; i <= n; i++) { int u = (ul - a[i]) / 2, d = (dl - a[i] + 1) / 2; if (p[i]) r++; l = max(l, d); r = min(r, u); if (l > r) return false; } return true; } int bs(int l, int r) { int md = (l + r) / 2; if (r == l + 1 && md == l) md = r; if (l >= r) return md; if (ps(md)) return bs(md, r); else return bs(l, md - 1); } int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin >> s; n = s.length(); for (int i = 0; i < n; i++) { if (s[i] == '?') { s[i] = '0'; p[i + 1] = true; } if (s[i] == '0') a[i + 1] = a[i] - 1; else a[i + 1] = a[i] + 1; } mxi = 0, mni = 0; for (int i = 1; i <= n; i++) { if (a[mxi] <= a[i]) mxi = i; if (a[mni] > a[i]) mni = i; } int ans = a[mxi] - a[mni]; if (mni <= mxi) { cout << ans << '\n'; return 0; } ul = a[mxi]; ans = min(ans, ul - bs(a[mni], a[mxi])); ul = a[mxi] + 1; ans = min(ans, ul - bs(a[mni], a[mxi])); cout << ans << '\n'; return 0; }
#include<bits/stdc++.h> using namespace std; #define int long long #define rep(i,n) for(int i=0;i<(n);i++) #define pb push_back #define eb emplace_back #define all(v) (v).begin(),(v).end() #define fi first #define se second using vint=vector<int>; using pint=pair<int,int>; using vpint=vector<pint>; template<typename A,typename B>inline void chmin(A &a,B b){if(a>b)a=b;} template<typename A,typename B>inline void chmax(A &a,B b){if(a<b)a=b;} template<class A,class B> ostream& operator<<(ostream& ost,const pair<A,B>&p){ ost<<"{"<<p.first<<","<<p.second<<"}"; return ost; } template<class T> ostream& operator<<(ostream& ost,const vector<T>&v){ ost<<"{"; for(int i=0;i<v.size();i++){ if(i)ost<<","; ost<<v[i]; } ost<<"}"; return ost; } inline int topbit(unsigned long long x){ return x?63-__builtin_clzll(x):-1; } inline int popcount(unsigned long long x){ return __builtin_popcountll(x); } inline int parity(unsigned long long x){ return __builtin_parity(x); } int N; string S; int calc(int M){ vint A(N+1); rep(i,N){ A[i+1]=A[i]; if(S[i]=='1')A[i+1]++; else A[i+1]--; } vint suf=A; for(int i=N-1;i>=0;i--)chmax(suf[i],suf[i+1]); int offset=0; int mi=0; rep(i,N){ if(S[i]=='?'&&suf[i+1]+offset+2<=M)offset+=2; chmin(mi,A[i+1]+offset); } return M-mi; } signed main(){ cin>>S; N=S.size(); int cur=0; int m=0; rep(i,N){ if(S[i]=='1')cur++; else cur--; chmax(m,cur); } cout<<min(calc(m),calc(m+1))<<endl; return 0; }
#include<bits/stdc++.h> #define re register #define inc(i,j,k) for(re int i=j;i<=k;i++) #define dec(i,j,k) for(re int i=j;i>=k;i--) using namespace std; const int N=1e6+5; int n,sum[N],ans,minn,maxx,cur,pos,suf[N],now; char s[N]; void get(int x){ now=minn=maxx=0; inc(i,1,n){ if(s[i]=='1') sum[i]=sum[i-1]+1; if(s[i]=='0') sum[i]=sum[i-1]-1; if(s[i]=='?'){ if(suf[i]+now+2<=x) sum[i]=sum[i-1]+1,now+=2; else sum[i]=sum[i-1]-1; } minn=min(minn,sum[i]); maxx=max(maxx,sum[i]); } ans=min(ans,maxx-minn); } int main(){ scanf("%s",s+1); n=strlen(s+1); minn=maxx=0; inc(i,1,n){ if(s[i]=='1') sum[i]=sum[i-1]+1; else sum[i]=sum[i-1]-1; maxx=max(maxx,sum[i]); } suf[n+1]=-n; dec(i,n,1) suf[i]=max(suf[i+1],sum[i]); int z=maxx;ans=n; get(z),get(z+1); printf("%d",ans); }
#include <bits/stdc++.h> using namespace std; int solve (string const& s, int h) { int n = s.size(); vector<pair<int, int>> dp(n + 1, {0, h}); for (int i = n - 1, par = -1; i >= 0; i--) { if (par != -1) par ^= 1; if (s[i] == '1') { dp[i] = {dp[i + 1].first - 1, dp[i + 1].second - 1}; } else if (s[i] == '0') { dp[i] = {dp[i + 1].first + 1, dp[i + 1].second + 1}; } else { if (dp[i + 1].first == dp[i + 1].second && par == -1) { par = (dp[i + 1].first + 1) & 1; } dp[i] = {dp[i + 1].first - 1, dp[i + 1].second + 1}; } dp[i].first = max(dp[i].first, 0); dp[i].second = min(dp[i].second, h); if ((dp[i].first > h) || (dp[i].second < 0) || (par != -1 && dp[i].first == dp[i].second && (dp[i].first & 1) != par)) { return 0; } } return 1; } int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin >> s; int n = s.size(); int l = 1, r = n; while (l != r) { int mid = (l + r) / 2; int ok = solve(s, mid); if (ok) { r = mid; } else l = mid + 1; } cout << l << '\n'; return 0; }
#include<bits/stdc++.h> using namespace std; using ll = long long; const int maxn = 1<<20, mod = 1e9 + 7; string s; int n, ans = 1<<30; int p[maxn], sm[maxn], tt[maxn]; //0 => -1 && 1 => 1 int solve() {//initialize to 1 memset(p, 0, sizeof p);//prefix sum memset(sm, 0, sizeof sm);//suffix min of prefix sums int g_min = 0, g_max = 0; for(int i = 1; i <= n; i++) { p[i] = p[i-1] + (s[i] == '0' ? -1 : 1); sm[i] = p[i]; } for(int i = n; i--;) sm[i] = min(sm[i], sm[i+1]); g_min = sm[0]; for(int run = 0, i = 0; i <= n; i++) { sm[i] += run; p[i] += run; if(s[i] == '?' && sm[i] - 2 >= g_min) { sm[i] -= 2; p[i] -= 2; run -= 2; } g_max = max(g_max, p[i]); } return g_max - g_min; } int main() { cin.tie(0)->sync_with_stdio(0); cin >> s; n = s.size(); s = "." + s; int ans = 1<<30; for(int i = 0; i < 2; i++) { ans = min(ans, solve()); for(auto &c : s) if(c == '0') c = '1'; else if(c == '1') c = '0'; ans = min(ans, solve()); reverse(1 + s.begin(), s.end()); } cout << ans; }
#include <iostream> #include <cstdio> #include <algorithm> #include <string.h> using namespace std; #define endl '\n' #define ll long long #define pi pair<int, int> #define f first #define s second const int mxn = 1000000; int n; string s; int a[mxn], b[mxn]; int sol(int x){ int r1 = 0, r2 = 0; for(int i = 0; i < n; i++){ r2 += 2 * (s[i] == '?' && b[i] + r2 < x - 1); r1 = min(r1, a[i] + r2); } return x - r1; } int main(){ ios::sync_with_stdio(0); cin.tie(0); cin >> s; n = s.size(); for(int i = 0; i < n; i++){ a[i] = 2 * (s[i] == '1') - 1 + (i ? a[i - 1] : 0); } for(int i = n - 1; ~i; i--){ b[i] = max(a[i], (i < n - 1 ? b[i + 1] : a[i])); } int v = max(b[0], 0); cout << min(sol(v), sol(v + 1)) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using Int = long long; const char newl = '\n'; template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;} template<typename T> void drop(const T &x){cout<<x<<endl;exit(0);} template<typename T=int> vector<T> read(size_t n){ vector<T> ts(n); for(size_t i=0;i<n;i++) cin>>ts[i]; return ts; } //INSERT ABOVE HERE signed main(){ cin.tie(0); ios::sync_with_stdio(0); string s; cin>>s; int n=s.size(); vector<int> sm(n+1,0); for(int i=0;i<n;i++) sm[i+1]=sm[i]+(s[i]=='1'?1:-1); vector<int> mx(n+1); for(int i=n;i>=0;i--){ mx[i]=sm[i]; if(i+1<=n) chmax(mx[i],mx[i+1]); } int ans=n; for(int k=0;k<2;k++){ int lim=mx[0]+k; int cur=0; int num=0; int low=0,hgh=0; for(int i=0;i<n;i++){ if(s[i]=='1'){ cur+=1; chmin(low,cur); chmax(hgh,cur); continue; } if(s[i]=='0'){ cur-=1; chmin(low,cur); chmax(hgh,cur); continue; } assert(s[i]=='?'); if(mx[i+1]+(num+1)*2<=lim){ num++; cur+=1; }else{ cur-=1; } chmin(low,cur); chmax(hgh,cur); } chmin(ans,hgh-low); } cout<<ans<<newl; return 0; }
#include <iostream> #include <string> using namespace std; int main() { string s; cin >> s; int left = 0, right = s.size(); while (left < right) { int mid = (left + right) / 2; bool flag = false; for (int base = 0; !flag && base <= 1; base++) { int low = base; int high = mid; if ((high - low) & 1) { high--; } bool ok = high >= low; for (int i = 0; ok && i < s.size(); i++) { if (s[i] == '1') { low++; high++; } else if (s[i] == '0') { low--; high--; } else { low--; high++; } if (low < 0) { low += 2; } if (high > mid) { high -= 2; } ok = high >= low; } flag = ok; } if (flag) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include <algorithm> #include <cmath> #include <complex> #include <cstdio> #include <iostream> #include <map> #include <numeric> #include <queue> #include <set> #include <stack> #include <string> #include <vector> using namespace std; #define MOD 1000000007 #define MOD2 998244353 #define PRIM 3 #define INF (1 << 29) #define LINF (1LL << 60) #define EPS (1e-10) #define PI 3.1415926535897932384626433832795028 typedef long long Int; typedef pair<Int, Int> P; typedef long double Real; typedef complex<Real> CP; string s; bool ok(int x) { for (int p = 0; p < 2; p++) { bool ng = false; int bottom = p, top = x; if (top % 2 != p) top--; for (char c : s) { if (c == '0') bottom--, top--; if (c == '1') bottom++, top++; if (c == '?') bottom--, top++; if (bottom < 0) bottom += 2; if (top > x) top -= 2; if (top < bottom) ng = true; } if (!ng) return true; } return false; } int main() { cin >> s; int bottom = 0, top = s.size(); while (top - bottom > 1) { int mid = (top + bottom) / 2; if (ok(mid)) top = mid; else bottom = mid; } cout << top << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define ll long long #define all(aaa) aaa.begin(), aaa.end() const int N = 1e6 + 5; string s; int n; int mx_suf[N]; int f(int z) { int mn = 0, suf = 0; for (int i = 0; i < n; i++) { for (char c = '1'; c >= '0'; c--) { int d = (c == '1' ? 1 : -1); if ((c == s[i] || s[i] == '?') && suf + d + mx_suf[i + 1] <= z) { suf += d; break; } } mn = min(mn, suf); } return z - mn; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> s; n = s.size(); for (int i = n - 1; i >= 0; i--) { mx_suf[i] = max(mx_suf[i + 1] + (s[i] == '1' ? 1 : -1), 0); } cout << min(f(mx_suf[0]), f(mx_suf[0] + 1)); return 0; }
#include<cstdio> #include<cstring> #include<cstdlib> #include<algorithm> #include<cmath> #include<queue> #include<vector> #include<ctime> #include<map> #include<bitset> #include<set> #include<assert.h> #include<chrono> #include<random> #include<iostream> #define LL long long #define mp(x,y) make_pair(x,y) #define pll pair<long long,long long> #define pii pair<int,int> #define SZ(x) ((int)x.size()) #define VI vector<int> using namespace std; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); inline LL read() { LL f=1,x=0;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } int stack[20]; template<typename T>inline void write(T x) { if(x<0){putchar('-');x=-x;} if(!x){putchar('0');return;} int top=0; while(x)stack[++top]=x%10,x/=10; while(top)putchar(stack[top--]+'0'); } template<typename T>inline void pr1(T x){write(x);putchar(' ');} template<typename T>inline void pr2(T x){write(x);putchar('\n');} template<typename T>inline void chkmin(T &x,T y){x=x<y?x:y;} template<typename T>inline void chkmax(T &x,T y){x=x>y?x:y;} const int MAXN=1000005; char ch[MAXN];int len; int val[MAXN],rmx[MAXN]; int calculate(int lim) { for(int i=1;i<=len;i++) { if(ch[i]=='1')val[i]=1;else val[i]=-1; val[i]+=val[i-1]; }rmx[len+1]=-1e9; for(int i=len;i>=1;i--)rmx[i]=val[i],chkmax(rmx[i],rmx[i+1]); int ret=0; for(int i=1,sum=0,S=0;i<=len;i++) { if(ch[i]=='1')++S; else if(ch[i]=='0')--S; else { if(rmx[i]+sum+2<=lim)sum+=2,++S; else --S; }chkmin(ret,S); }return ret; } int main() { #ifdef Rose double BeginJudgeTime=clock(); #endif scanf("%s",ch+1);len=strlen(ch+1); int mxp=0; for(int i=1,S=0;i<=len;i++) { if(ch[i]=='1')++S; else --S;chkmax(mxp,S); } int z1=calculate(mxp),z2=calculate(mxp+1); pr2(min(mxp-z1,mxp+1-z2)); #ifdef Rose double EndJudgeTime=clock(); cerr<<"JudgeTime is"<<" "; cerr<<(EndJudgeTime-BeginJudgeTime)/CLOCKS_PER_SEC<<endl; #endif return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000005; int n; char s[MAXN]; bool ok(int lim) { bool flag[2] = {1,1}; for (int par = 0;par <= 1;par++) { int l = par,r = ((lim & 1) == par ? lim : lim - 1); if (l > r) flag[par] = 0; for (int i = 1;i <= n;i++) { if (s[i] == '?') { l--; r++; } else { l += (s[i] == '0' ? -1 : 1); r += (s[i] == '0' ? -1 : 1); } if (l < 0) l += 2; if (r > lim) r -= 2; if (l > r) flag[par] = 0; } } return flag[0] || flag[1]; } int main() { scanf("%s",s + 1); n = strlen(s + 1); int low = 1,high = n; while (low < high) { int mid = low + high >> 1; if (ok(mid)) high = mid; else low = mid + 1; } printf("%d\n",low); return 0; }
#include<bits/stdc++.h> using namespace std; typedef long long LL; const int N=1000000; char s[N+9]; int n; void into(){ scanf("%s",s+1); n=strlen(s+1); } int pre[N+9],suf[N+9]; void Get_suf(){ for (int i=1;i<=n;++i) pre[i]=pre[i-1]+(s[i]=='0'?-1:1); suf[n]=pre[n]; for (int i=n-1;i>=0;--i) suf[i]=min(pre[i],suf[i+1]); } int Get_ans(int lim){ int res=0,now=0; for (int i=1;i<=n;++i){ if (s[i]=='?'&&suf[i]+now>=lim+2) now-=2; res=max(res,pre[i]+now); } return res-lim; } int ans; void Get_ans(){ ans=min(Get_ans(suf[0]),Get_ans(suf[0]-1)); } void work(){ Get_suf(); Get_ans(); } void outo(){ printf("%d\n",ans); } int main(){ into(); work(); outo(); return 0; }
#include<iostream> #include<algorithm> #include<vector> #include<set> using namespace std; typedef long long ll; typedef pair<ll,ll> pll; #define rep(i,n) for(int i=0;i<n;i++) #define all(x) x.begin(),x.end() #define chmin(a,b) a=min(a,b) #define chmax(a,b) a=max(a,b) int solve(string s){ int cs=0,mi=0,ans=0; set<int> S; for(int i=0;i<s.size();i++){ if(s[i]=='1')cs++; else cs--; chmin(mi,cs); if(ans<cs-mi){ S.clear(); ans=cs-mi; } if(ans==cs-mi){ S.insert(i%2); } } if(S.size()==2)ans++; return ans; } int main(){ string s; cin>>s; if(s.size()==1){ cout<<1<<endl; return 0; } int a=solve(s); for(int i=0;i<s.size();i++){ if(s[i]=='0')s[i]='1'; else if(s[i]=='1')s[i]='0'; } int b=solve(s); //cout<<a<<" "<<b<<endl; cout<<max(a,b)<<endl; }
#include<iostream> #include<string> #include<algorithm> #include<cstdlib> template<typename T> void fin(T const& t){ std::cout << t << std::endl; exit(0); } int main() { std::cin.tie(0); std::ios::sync_with_stdio(false); std::string s; std::cin >> s; int a0 = 0, a1 = 1, b0 = 0, b1 = -1; int c0 = a0-b0, c1 = a0-b1, c2 = a1-b0, c3 = a1-b1; for(int i = 0; i < s.size(); i += 2) { char c = s[i]; if(c=='0') { --a0; --a1; --b0; --b1; } else if(c=='1') { ++a0; ++a1; ++b0; ++b1; } else { --a0; --a1; ++b0; ++b1; } if(a0 < 0) a0 += 2; if(b0 > 0) b0 -= 2; c0 = std::max(c0, a0-b0); c1 = std::max(c1, a0-b1); c2 = std::max(c2, a1-b0); c3 = std::max(c3, a1-b1); c = s[i+1]; if(c=='0') { --a0; --a1; --b0; --b1; } else if(c=='1') { ++a0; ++a1; ++b0; ++b1; } else { --a0; --a1; ++b0; ++b1; } if(a1 < 0) a1 += 2; if(b1 > 0) b1 -= 2; c0 = std::max(c0, a0-b0); c1 = std::max(c1, a0-b1); c2 = std::max(c2, a1-b0); c3 = std::max(c3, a1-b1); } if(s.size()%2==1) { char c = s.back(); if(c=='0') { --a0; --a1; --b0; --b1; } else if(c=='1') { ++a0; ++a1; ++b0; ++b1; } else { --a0; --a1; ++b0; ++b1; } if(a0 < 0) a0 += 2; if(b0 > 0) b0 -= 2; c0 = std::max(c0, a0-b0); c1 = std::max(c1, a0-b1); c2 = std::max(c2, a1-b0); c3 = std::max(c3, a1-b1); } fin(std::min(std::min(c0, c1), std::min(c2, c3))); return 0; }
#include <cstdio> #include <cstring> #include <iostream> using namespace std; int n, M, a[1000010]; char s[1000010]; inline int Solve (int x) { int res = 0; for (int i = 1, t = 1, su = 0; i <= n; ++i) { if (s[i] == '?') if (a[i] + t * 2 <= x) ++t, ++su; else --su; else su += s[i] == '1' ? 1 : -1; res = min (res, su); } return res; } int main () { scanf ("%s", s + 1); n = strlen (s + 1); for (int i = 1; i <= n; ++i) { a[i] = a[i - 1] + (s[i] == '1' ? 1 : -1); M = max (M, a[i]); } for (int i = n - 1; i >= 1; --i) a[i] = max (a[i], a[i + 1]); printf ("%d\n", min (M - Solve (M), M + 1 - Solve (M + 1))); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; int main() { ll Z=0; string s; cin>>s; ll rui=0; ll a=0; ll f=0; ll s1=s.size(); ll b[s1+1]; ll c[s1+1]; for (ll i=0;i<s1;i++){ if(s.at(i)=='1'){ a++;} else{ a--;} b[i]=a; c[i]=a; Z=max(Z,a);} for (ll i=s1-2;i>=0;i--){ b[i]=max(b[i],b[i+1]);} for (ll i=0;i<s1;i++){ if(s.at(i)=='1'){ rui++;} else if(s.at(i)=='0'){ rui--;} else{ if(rui-c[i-1]+b[i]+2<=Z){ rui++;} else{ rui--;}} f=min(f,rui);} ll Z1=Z+1; ll f1=0; rui=0; for (ll i=0;i<s1;i++){ if(s.at(i)=='1'){ rui++;} else if(s.at(i)=='0'){ rui--;} else{ if(rui+b[i]-c[i-1]+2<=Z1){ rui++;} else{ rui--;}} f1=min(f1,rui);} ll ans=min(Z-f,Z1-f1); if(s.at(0)=='?'&&s1==1){ ans=1;} cout<<ans<<endl;}
#include <iostream> #include <string> #include <algorithm> using namespace std; const int MAXN = 1000010; int suffix_one[MAXN]; int suffix_zero[MAXN]; int main() { string s; cin >> s; int suffix_0 = 0; int suffix_1 = 0; for (int i = s.size(); i > 0; i--) { suffix_one[i] = suffix_1; suffix_zero[i] = suffix_0; if (s[i - 1] == '1') { suffix_1++; suffix_0--; } else if (s[i - 1] == '0') { suffix_1--; suffix_0++; } else { suffix_1--; suffix_0--; } suffix_1 = max(suffix_1, 0); suffix_0 = max(suffix_0, 0); } int left = 0, right = s.size(); while (left < right) { bool flag = true; int mid = (left + right) / 2; int allowed_1 = mid; int allowed_0 = mid; for (int i = 0; flag && i < s.size(); i++) { if (s[i] == '1') { if (allowed_1 <= 0) { flag = false; } allowed_1--; allowed_0++; } else if (s[i] == '0') { if (allowed_0 <= 0) { flag = false; } allowed_1++; allowed_0--; } else { int capacity_1 = allowed_1 - suffix_one[i + 1]; int capacity_0 = allowed_0 - suffix_zero[i + 1]; if (allowed_1 > 0 && allowed_1 - 1 >= suffix_one[i + 1] && (capacity_1 > capacity_0 || capacity_1 == capacity_0 && allowed_1 > allowed_0)) { allowed_1--; allowed_0++; } else if (allowed_0 > 0 && allowed_0 - 1 >= suffix_zero[i + 1]) { allowed_1++; allowed_0--; } else { flag = false; break; } } allowed_1 = min(allowed_1, mid); allowed_0 = min(allowed_0, mid); } if (flag) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include <cstdio> #include <cstring> #include <algorithm> const int MN = 1000005; int N; char S[MN]; int p[MN]; inline int Solve(int lb) { p[N] = 0; for (int i = N; i >= 1; --i) p[i - 1] = std::max(p[i] + (S[i] == '1' ? 1 : -1), 0); int maxval = 0; for (int i = 1, now = 0; i <= N; maxval = std::max(maxval, now), ++i) if (S[i] == '?') now += now - 1 - p[i] >= lb ? -1 : 1; else now += S[i] == '0' ? 1 : -1; return maxval; } int main() { scanf("%s", S + 1), N = strlen(S + 1); int minval = 0; for (int i = 1, now = 0; i <= N; ++i) if (S[i] == '1') minval = std::min(minval, --now); else ++now; printf("%d\n", std::min(Solve(minval) - minval, Solve(minval - 1) - minval + 1)); return 0; }
#include <iostream> #include <string> using namespace std; int main() { string s; cin >> s; int left = 0, right = s.size(); while (left < right) { int mid = (left + right) / 2; // test mid int even_low = 0; int even_high = mid; bool even_ok = even_high >= even_low; if (mid % 2) { even_high--; } int odd_low = 1; int odd_high = mid; bool odd_ok = odd_high >= odd_low; if (mid % 2 == 0) { odd_high--; } for (int i = 0; i < s.size(); i++) { if (s[i] == '1') { even_low++; even_high++; odd_low++; odd_high++; } else if (s[i] == '0') { even_low--; even_high--; odd_low--; odd_high--; } else { even_low--; even_high++; odd_low--; odd_high++; } while (even_low < 0) { even_low += 2; } while (even_high > mid) { even_high -= 2; } while (odd_low < 0) { odd_low += 2; } while (odd_high > mid) { odd_high -= 2; } if (even_high < even_low) { even_ok = false; } if (odd_high < odd_low) { odd_ok = false; } } if (odd_ok || even_ok) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5; int _w; char str[N]; int n , mn , f[N] , mx , ans , g[N]; bool mark[N]; int main( void ) { _w = scanf("%s",str+1); n = strlen( str + 1 ); mx = 0; for( int i = 1 , s = 0 ; i <= n ; ++i ) { if( str[i] == '?' ) mark[i] = 1 , str[i] = '0'; if( str[i] == '0' ) --s; else ++s; f[i] = s; mx = max( mx , f[i] ); } ans = n; g[n] = f[n]; for( int i = n - 1 ; i ; --i ) g[i] = max( g[i + 1] , f[i] ); for( int _ = 0 ; _ < 2 ; ++_ , ++mx ) { mn = 0; for( int i = 1 , s = 0 ; i <= n ; ++i ) { if( mark[i] ) { if( s + g[i] - f[i - 1] + 2 <= mx ) ++s; else --s; } else { if( str[i] == '0' ) --s; else ++s; } mn = min( mn , s ); } ans = min( ans , mx - mn ); } printf("%d",ans); return 0; }
#include<bits/stdc++.h> using namespace std; const int N=1e6+5; char s[N]; int n,a[N],b[N]; int solve(int mx) { int add=0; for(int i=1;i<=n;i++) if(s[i]!='?') b[i]=s[i]=='1'?1:-1; else { if(a[i]+add+2<=mx) b[i]=1,add+=2; else b[i]=-1; } for(int i=1;i<=n;i++) b[i]+=b[i-1]; int mn=0;mx=0; for(int i=1;i<=n;i++) mn=min(mn,b[i]),mx=max(mx,b[i]); return mx-mn; } int main() { scanf("%s",s+1); n=strlen(s+1); for(int i=1;i<=n;i++) a[i]=a[i-1]+(s[i]=='1'?1:-1); for(int i=n-1;i>=1;i--) a[i]=max(a[i],a[i+1]); int ans=min(solve(a[1]),solve(a[1]+1)); ans=min(ans,solve(a[1]+2)); printf("%d\n",ans); }
#include <cstdio> #include <cstring> #include <iostream> #include <string> #include <cmath> #include <bitset> #include <vector> #include <map> #include <set> #include <queue> #include <deque> #include <algorithm> #include <complex> #include <unordered_map> #include <unordered_set> #include <random> #include <cassert> #include <fstream> #include <utility> #include <functional> #include <time.h> #include <stack> #include <array> #define popcount __builtin_popcount using namespace std; typedef long long int ll; typedef pair<int, int> P; int main() { string s; cin>>s; int n=s.size(); int ans=1e9; for(int p=0; p<2; p++){ for(int q=0; q<2; q++){ int l=0, r=0, sl=0, sr=0; int d=0, L=-p, R=q; for(int i=0; i<n; i++){ if(s[i]=='0'){ l--; r--; sl--; sr--; if(~(i+p)&1){ sl=max(sl, 1); } }else if(s[i]=='1'){ l++; r++; sl++; sr++; if(~(i+q)&1){ sr=min(sr, -1); } }else{ l--; r++; sl--; sr++; if(~(i+p)&1){ sl=max(sl, 1); } if(~(i+q)&1){ sr=min(sr, -1); } } d=max(d, sl-sr); L=min(L, r-sl); R=max(R, l-sr); } ans=min(ans, max(d, R-L)); } } cout<<ans<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define sz(x) ((int) ((x).size())) typedef long long ll; typedef long double ld; int n; string s; int isPos(int u, int sv) { int l = sv, h = sv, il = 0, ih = 0; for (int i = 0; i < n; i++) { if (s[i] == '0') l--, h--; else if (s[i] == '1') l++, h++; else l--, h++; if (l < 0) l += 2, il++; if (h > u) h -= 2, ih++; if (l > h) return il >= ih ? 1 : 2; } return 0; } bool isPos(int u) { int l = -1, r = u; while (l + 1 < r) { int m = (l + r) / 2; int a = isPos(u, m); if (a == 0) return true; if (a == 1) l = m; else r = m; } return isPos(u, r) == 0; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(10); cin >> s; n = sz(s); int l = -1, r = n; while (l + 1 < r) { int m = (l + r) / 2; if (isPos(m)) r = m; else l = m; } cout << r << "\n"; }