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#include <bits/stdc++.h> #define FOR(i, a, n) for(ll i = (ll)a; i < (ll)n; i++) #define FORR(i, n) for(ll i = (ll)n - 1LL; i >= 0LL; i--) #define rep(i, n) FOR(i, 0, n) #define ALL(x) begin(x), end(x) using namespace std; using ll = long long; constexpr ll Mod = 998244353; constexpr ll mod = 1e9 + 7; constexpr ll inf = 1LL << 60; const double PI = acos(-1); template <typename T> constexpr bool chmax(T &a, const T &b) { if(a >= b) return false; a = b; return true; } template <typename T> constexpr bool chmin(T &a, const T &b) { if(a <= b) return false; a = b; return true; } /*-------------------------------------------*/ int main() { cin.tie(nullptr); ios::sync_with_stdio(false); string s; cin >> s; int n = s.size(); vector<int> h{0}; for(auto c : s) { int cur = h.back() + (c == '1' ? 1 : -1); h.push_back(cur); } vector<int> z = h; FORR(i, n) chmax(z[i], z[i + 1]); int mx = *max_element(ALL(h)); int ans = 1 << 30; rep(_, 2) { int cur = 0, mn = 0; rep(i, n) { if(s[i] == '?') { if(cur + z[i + 1] - h[i] + 2 <= mx) cur++; else cur--; } else if(s[i] == '0') cur--; else cur++; chmin(mn, cur); } chmin(ans, mx - mn); mx++; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin >> s; int n = (int) s.length(); int z = 0, cur = 0; for (auto& c : s) { if (c == '1') { cur++; } else { cur--; } z = max(z, cur); } auto f = [&](const int& m) { vector<int> v; v.push_back(0); string t = s; for (int i = 0; i < n; i++) { if (s[i] == '1') { v.push_back(v.back() + 1); } else { if (s[i] == '?') { t[i] = '0'; } v.push_back(v.back() - 1); } } for (int i = n - 1; i >= 0; i--) { v[i] = max(v[i], v[i + 1]); } int add = 0; for (int i = 0; i < n; i++) { if (s[i] == '?') { if (v[i + 1] + add + 2 <= m) { add += 2; t[i] = '1'; } } } v.clear(); v.push_back(0); for (auto& c : t) { if (c == '1') { v.push_back(v.back() + 1); } else { v.push_back(v.back() - 1); } } return *min_element(v.begin(), v.end()); }; cout << min(z - f(z), (z + 1) - f(z + 1)) << '\n'; return 0; }
#include <cstdio> #include <cstring> #include <cstdlib> #include <iostream> #include <algorithm> #include <vector> #define X first #define Y second #define PB push_back using namespace std; typedef long long ll; typedef pair < int, int > pii; typedef vector < int > vi; const int N = 1e6 + 500; const int INF = 0x3f3f3f3f; const int MOD = 998244353; int mini = 0, maxi = 0, n; char s[N]; int desno[N]; int probaj(int x){ if(desno[0] < x) return n; int cur = 0, gran = 0; for(int i = 0;i < n;i++){ if(s[i] == '1'){ cur++; } else if(s[i] == '0'){ cur--; } else{ if(cur + desno[i + 1] > x) cur--; else cur++; } gran = max(cur, gran); } return gran - x; } int main(){ scanf("%s", s); n = strlen(s); desno[n] = 0; for(int i = n - 1;i >= 0;i--){ if(s[i] == '1' || s[i] == '?'){ desno[i] = min(desno[i + 1] + 1, 0); } else{ desno[i] = desno[i + 1] - 1; } } int sol = n; for(int x = desno[0];x >= desno[0] - 50;x--) sol = min(sol, probaj(x)); printf("%d\n", sol); return 0; }
#include <bits/stdc++.h> using namespace std; /* 右側の塊を考えて、なるべく現在と逆のを書きつつ、やばそうなら右側のと逆を書く */ template<typename T> void chmax(T &a,T b){ if(a<b)a=b; } signed main(){ string s;cin>>s; int n=s.size(); vector<int> o(n+1,0),z(n+1,0); int ot=0,zt=0; for(int i=n-1;i>=0;i--){ if(s[i]=='0')z[i]=++zt; else{chmax(--zt,0);z[i]=zt;} } for(int i=n-1;i>=0;i--){ if(s[i]=='1')o[i]=++ot; else{chmax(--ot,0);o[i]=ot;} } int ans=0; ot=zt=0; for(int i=0;i<n;i++){ if(s[i]=='0'){ chmax(ans,++zt); chmax(--ot,0); } else if(s[i]=='1'){ chmax(ans,++ot); chmax(--zt,0); } else{ if(zt+z[i+1]>ot+o[i+1]){ chmax(ans,++ot); chmax(--zt,0); } else{ chmax(ans,++zt); chmax(--ot,0); } } } int ans2=ans; ans=ot=zt=0; for(int i=0;i<n;i++){ if(s[i]=='0'){ chmax(ans,++zt); chmax(--ot,0); } else if(s[i]=='1'){ chmax(ans,++ot); chmax(--zt,0); } else{ if(zt+z[i+1]>=ot+o[i+1]){ chmax(ans,++ot); chmax(--zt,0); } else{ chmax(ans,++zt); chmax(--ot,0); } } } cout<<min(ans,ans2)<<endl; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; #define mp make_pair #define PI pair<ll,ll> #define poly vector<ll> #define mem(a) memset((a),0,sizeof(a)) #define For(i,l,r) for(int i=(int)(l);i<=(int)(r);i++) #define Rep(i,r,l) for(int i=(int)(r);i>=(int)(l);i--) #define pb push_back #define fi first #define se second #define SZ(x) ((int)(x.size())) inline char gc(){ static char buf[100000],*p1=buf,*p2=buf; return p1==p2&&(p2=(p1=buf)+fread(buf,1,100000,stdin),p1==p2)?EOF:*p1++; } #define gc getchar inline ll read(){ ll x = 0; char ch = gc(); bool positive = 1; for (; !isdigit(ch); ch = gc()) if (ch == '-') positive = 0; for (; isdigit(ch); ch = gc()) x = x * 10 + ch - '0'; return positive ? x : -x; } inline void write(ll a){ if(a<0){ a=-a; putchar('-'); } if(a>=10)write(a/10); putchar('0'+a%10); } inline void writeln(ll a){write(a); puts("");} inline void wri(ll a){write(a); putchar(' ');} ll rnd(){ ull ans=0; For(i,0,4)ans=ans<<15^rand(); return ans%((ull)1<<63); } const int N=1000005; char ch[N]; int ans; int main(){ #ifdef Brollan //freopen("1.in","r",stdin); #endif scanf("%s",ch+1); int n=strlen(ch+1); int x=0,y=0; Rep(i,n,1){ if(ch[i]=='0'){x++; y--;} else if(ch[i]=='1'){x--; y++;} else {x--; y--;} x=max(x,0); y=max(y,0); ans=max(ans,max(x,y)); } int l=0,r=ans,sum=ans,zt=1; For(i,1,n){ if(l==r)zt=0; if(ch[i]=='0'){ l++; r++; if(r>sum){if(zt)r=sum; else {r=sum-1;}} }else if(ch[i]=='1'){ l--; r--; if(l<0){if(zt)l=0; else {l=1;}} }else{ l--; r++; if(r>sum){if(zt)r=sum; else {r=sum-1; }} if(l<0){if(zt)l=0; else {l=1; }} } if(l>sum||r<0){ sum++; break; } //cout<<l<<" "<<r<<" mx:"<<mx<<" sum:"<<sum<<" "<<zt<<endl; } cout<<sum<<endl; } /* 20 01 40 50/31 41/22 23/04 14/05 */
#include<iostream> #include<cstdio> #include<cstring> using namespace std; #define N 1000010 inline int read(){ int x=0,f=1; char c=getchar(); while(c<'0'||c>'9'){ if(c=='-')f=-1; c=getchar(); } while(c>='0'&&c<='9'){ x=(x<<1)+(x<<3)+c-'0'; c=getchar(); } return x*f; } int mx,n,a[N],b[N]; char s[N]; void init(){ int sum=0; for(int i=1;i<=n;++i){ sum+=(s[i]=='1'?1:-1); mx=max(mx,sum); a[i]=sum; } b[n]=a[n]; for(int i=n-1;i>=0;--i){ b[i]=max(a[i],b[i+1]); } } int calc(int lim){ int mn=0,sum=0; for(int i=1;i<=n;++i){ if(s[i]=='1')++sum; else if(s[i]=='0')--sum; else{ if(b[i]-a[i-1]+sum+2<=lim)++sum; else --sum; } mn=min(mn,sum); } return mn; } int main(){ scanf("%s",s+1); n=strlen(s+1); init(); printf("%d\n",min(mx-calc(mx),mx+1-calc(mx+1))); return 0; }
#include<iostream> #include<cstring> #include<cstdio> #include<vector> #include<algorithm> using namespace std; #define LL long long #define fgx cerr<<"--------------"<<endl; #define dgx cerr<<"=============="<<endl; inline int read(){ int x=0,f=1;char c=getchar(); for(;!isdigit(c);c=getchar()) if(c=='-') f=-1; for(;isdigit(c);c=getchar()) x=x*10+c-'0'; return x*f; } const int MAXN = 1000010; const int INF = 2147483600; int N; char s[MAXN+1]; int g[MAXN+1]; inline int fn(int x){ int mn=0,now=0; for(int i=1;i<=N;i++){ if(s[i]=='1') ++now; else if(s[i]=='0') --now; else{ if(now+1+max(g[i+1],0)<=x) ++now; else --now; } mn=min(mn,now); } return x-mn; } int main(){ //freopen(".in","r",stdin); //freopen(".out","w",stdout); scanf("%s",s+1); N=strlen(s+1); g[N+1]=0; for(int i=N;i>=1;i--){ int val=(s[i]!='1'?-1:1); g[i]=max(val,g[i+1]+val); } int mx=0,now=0; for(int i=1;i<=N;i++){ if(s[i]!='1') --now; else ++now; mx=max(mx,now); } printf("%d\n",min(fn(mx),fn(mx+1))); return 0; }
#include<bits/stdc++.h> using namespace std; #define int long long #define ii pair <int, int> #define app push_back #define all(a) a.begin(), a.end() #define bp __builtin_popcountll #define ll long long #define mp make_pair #define f first #define s second #define Time (double)clock()/CLOCKS_PER_SEC const int INF = 1e9; int solve(string s, int up) { int n = s.size(); vector <int> pref(n + 1); for (int i = 0; i < n; ++i) { int x; if (s[i] == '1') x = 1; else x = -1; pref[i + 1] = pref[i] + x; } vector <int> suff(n + 1, -INF); for (int i = n - 1; i >= 0; --i) suff[i] = max(suff[i + 1], pref[i + 1]); int rem = 0, cur = 0; int mn = 0; for (int i = 0; i < n; ++i) { if (s[i] == '?') { if (suff[i] + 2 * (rem + 1) <= up) { ++rem; ++cur; } else { --cur; } } else if (s[i] == '1') { ++cur; } else { --cur; } //cout << "cur : " << cur << endl; mn = min(mn, cur); } return up - mn; } signed main() { #ifdef HOME freopen("input.txt", "r", stdin); #else #define endl '\n' ios_base::sync_with_stdio(0); cin.tie(0); #endif string s; cin >> s; int n = s.size(); int mx = 0, cur = 0; for (int i = 0; i < n; ++i) { if (s[i] == '1') { ++cur; } else { --cur; } mx = max(mx, cur); } cout << min(solve(s, mx), solve(s, mx + 1)) << endl; }
#include<bits/stdc++.h> #define rep(i,a,b) for(int i=(a);i<=(b);i++) #define per(i,a,b) for(int i=(a);i>=(b);i--) #define REP(i,n) for(int i=0;i<(n);i++) #define fi first #define se second #define pb push_back #define mp make_pair using namespace std; typedef pair<int,int> pii; typedef vector<int> vi; typedef long long ll; template<class T> void read(T &x){ int f=0; x=0; char ch=getchar(); for(;!isdigit(ch);ch=getchar()) f|=(ch=='-'); for(;isdigit(ch);ch=getchar()) x=x*10+ch-'0'; if(f) x=-x; } const int N=1000005; int f[N],n,mn,sum,mx; char s[N]; int solve(){ n=strlen(s+1); per(i,n,1){ f[i]=f[i+1]; if(s[i]=='0') f[i]--; else f[i]++; f[i]=min(f[i],0); } mn=f[1]; sum=mx=0; rep(i,1,n){ if(s[i]=='0') sum--; else if(s[i]=='1') sum++; else{ if(sum-1+f[i+1]<mn) sum++; else sum--; } mx=max(mx,sum); } return mx-mn; } int main(){ scanf("%s",s+1); int n=strlen(s+1); int ans=solve(); reverse(s+1,s+n+1); ans=min(ans,solve()); rep(i,1,n){ if(s[i]=='1') s[i]='0'; else if(s[i]=='0') s[i]='1'; } ans=min(ans,solve()); reverse(s+1,s+n+1); ans=min(ans,solve()); cout<<ans<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; int n; char s[1010101]; int a[1010101]; int b[1010101]; int main() { scanf("%s", s + 1); n = strlen(s + 1); for(int i = 1; i <= n; i++) { if(s[i] == '1') a[i] = 1; else a[i] = -1; a[i] += a[i-1]; } b[n] = a[n]; for(int i = n - 1; i >= 0; i--) b[i] = max(b[i+1], a[i]); int c = 0, mi = 0; for(int i = 1; i <= n; i++) { if(s[i] == '?' && c + 2 + b[i] <= b[0]) c += 2; mi = min(mi, a[i] + c); } int ans = 1e7; ans = min(ans, b[0] - mi); c = 0, mi = 0; for(int i = 1; i <= n; i++) { if(s[i] == '?' && c + 2 + b[i] <= b[0] + 1) c += 2; mi = min(mi, a[i] + c); } ans = min(ans, b[0] + 1 - mi); printf("%d\n", ans); return 0; }
#include <iostream> #include <algorithm> #include <cmath> #include <stdio.h> #include <stdlib.h> #include <vector> #include <map> #include <queue> #include <set> #include <string> #include <string.h> #include <stack> #include <assert.h> #include <bitset> #define Endl endl #define mp make_pair #define ll long long #define ull unsigned long long #define pii pair<int,int> #define pll pair<ll,ll> #define over(A) {cout<<A<<endl;exit(0);} #define all(A) A.begin(),A.end() #define ceil(a,b) ((a-1)/b+1) #define quickcin ios_base::sync_with_stdio(false); const int mod=1e9+7; const int inf=1039074182; const ll llinf=1LL*inf*inf; using namespace std; template <typename T1,typename T2> inline void chmin(T1 &x,T2 b) {if(b<x) x=b;} template <typename T1,typename T2> inline void chmax(T1 &x,T2 b) {if(b>x) x=b;} template <typename T1,typename T2> inline void chadd(T1 &x,T2 b) {x+=b;if(x>=mod) x-=mod;} template <typename T1,typename T2> inline void chmul(T1 &x,T2 b) {x=1LL*x*b%mod;} template <typename T1,typename T2> inline void chmod(T1 &x,T2 b) {x%=b,x+=b;if(x>=b) x-=b;} string s; int n; int sum[1000005]; int maxch[1000005]; int main(){ cin>>s; n=s.size(); string ts=s; int mx=0; for(int i=0;i<n;i++){ sum[i]=(i?sum[i-1]:0)+(s[i]=='1'?1:-1); chmax(mx,sum[i]); } int res=inf; for(int k=0;k<2;k++){ s=ts; int mx=0; for(int i=0;i<n;i++){ sum[i]=(i?sum[i-1]:0)+(s[i]=='1'?1:-1); chmax(mx,sum[i]); } mx+=k; for(int i=n-1;i>=0;i--){ maxch[i]=min((i==n-1?inf:maxch[i+1]),(mx-sum[i])/2); } int ss=0; for(int i=0;i<n;i++){ if(s[i]!='?'){ continue; } if(ss<maxch[i]){ ss++; s[i]='1'; } } for(int i=0;i<n;i++){ if(s[i]=='?') s[i]='0'; } int mn=0; for(int i=0;i<n;i++){ sum[i]=(i?sum[i-1]:0)+(s[i]=='1'?1:-1); chmin(mn,sum[i]); } chmin(res,mx-mn); } cout<<res<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; #ifndef ONLINE_JUDGE #define dbg(x...) do{cout << "\033[32;1m" << #x << "->" ; err(x);} while(0) void err(){cout << "\033[39;0m" << endl;} template<template<typename...> class T,typename t,typename... A> void err(T<t> a,A... x){for (auto v:a) cout << v << ' '; err(x...);} template<typename T,typename... A> void err(T a,A... x){cout << a << ' '; err(x...);} #else #define dbg(...) #endif typedef long long ll; typedef pair<int,int> pi; typedef vector<int> vi; template<class T> using vc=vector<T>; template<class T> using vvc=vc<vc<T>>; template<class T> void mkuni(vector<T>&v) { sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template<class T> void print(T x,int suc=1) { cout<<x; if(suc==1) cout<<'\n'; else cout<<' '; } template<class T> void print(const vector<T>&v,int suc=1) { for(int i=0;i<v.size();i++) print(v[i],i==(int)(v.size())-1?suc:2); } const int INF=0x3f3f3f3f; string s; int solve(int x) { int n=s.length(); vi pre(n); vi suf(n); for(int i=0;i<n;i++) { if(s[i]=='1') pre[i]=1; else pre[i]=-1; if(i) pre[i]+=pre[i-1]; } for(int i=n-1;i>=0;i--) { suf[i]=pre[i]; if(i!=n-1) suf[i]=max(suf[i],suf[i+1]); } int mi=0; int cur=0; for(int i=0;i<n;i++) { if(s[i]=='?'&&suf[i]+2+cur<=x) cur+=2; mi=min(mi,pre[i]+cur); } return x-mi; } int main() { cin>>s; if(s.length()==1) { print(1); return 0; } int cur=0,mx=0; for(auto u:s) { if(u=='?'||u=='0') cur--; else cur++; mx=max(mx,cur); } //dbg(mx); //for(int i=mx;i<mx+20;i++) dbg(i,solve(i)); print(min(solve(mx),solve(mx+1))); }
#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 da[4], db[4]; da[0] = db[0] = da[3] = -1; da[1] = db[1] = db[3] = 1; 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) { a0 += da[c&3]; if(a0 < 0) a0 = 1; a1 += da[c&3]; if(a1 < 0) a1 = 1; b0 += db[c&3]; if(b0 > 0) b0 = -1; b1 += db[c&3]; if(b1 > 0) b1 = -1; 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 <bits/stdc++.h> #define rep(i, a, b) for (int i = (a); i <= int(b); i++) #define per(i, a, b) for (int i = (a); i >= int(b); i--) using namespace std; const int maxn = 1e6; char s[maxn + 5]; int n, b[maxn + 5]; int solve(int low) { int x = 0, hi = 0; rep(i, 1, n) { if (s[i] != '?') { x += s[i] == '0' ? 1 : -1; } else { if (x - 1 + b[i + 1] >= low) x--; else x++; } hi = max(hi, x); } return hi - low; } int main() { scanf("%s", s + 1), n = strlen(s + 1); per(i, n, 1) b[i] = min(0, b[i + 1] + (s[i] != '1' ? 1 : -1)); printf("%d\n", min(solve(b[1]), solve(b[1] - 1))); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 10; char s[maxn]; int n; int L[maxn], R[maxn], par[maxn]; bool check(int mid) { for(int i = 0; i <= n; ++i) L[i] = R[i] = par[i] = 0; L[n] = 0; R[n] = mid; for(int i = n - 1; ~i; --i) { if(s[i + 1] == '0') { L[i] = L[i + 1] + 1; R[i] = min(mid, R[i + 1] + 1); if(par[i + 1] && R[i + 1] == mid) R[i] = min(R[i], mid - 1); } else if(s[i + 1] == '1') { L[i] = max(0, L[i + 1] - 1); R[i] = R[i + 1] - 1; if(par[i + 1] && L[i + 1] == 0) L[i] = max(L[i], 1); } else { L[i] = max(0, L[i + 1] - 1); R[i] = min(mid, R[i + 1] + 1); if(par[i + 1]) { if(L[i + 1] == 0) L[i] = max(L[i], 1); if(R[i + 1] == mid) R[i] = min(R[i], mid - 1); } } if(L[i] > R[i]) return 0; if(L[i] == R[i] || par[i + 1]) par[i] = 1; } return 1; } int main() { scanf("%s", s + 1); n = strlen(s + 1); int l = 1, r = n; while(l <= r) { int mid = l + r >> 1; if(check(mid)) r = mid - 1; else l = mid + 1; } printf("%d\n", l); return 0; }
#include <cstdio> #include <cstring> #include <vector> int main() { static char s[1000010]; scanf("%s",s); int n=strlen(s); std::vector<int> down(n+1); down[n]=0; int c=0; for(int i=n-1;i>=0;i--){ down[i]=(s[i]=='0'?down[i+1]-1:std::min(down[i+1]+1,0)); } int m=down[0]; int ans=n; for(int b=0;b<2;b++){ int M=0,c=0; for(int i=0;i<n;i++){ if(s[i]=='0'||(s[i]=='?'&&c-1+down[i+1]>=m-b)){ c--; } else{ c++; } M=std::max(M,c); } ans=std::min(ans,M-(m-b)); } printf("%d\n",ans); return 0; }
#include<cstdio> #include<cstring> #include<iostream> #define RI register int #define CI const int& using namespace std; const int N=1000005; char s[N]; int n,pfx[N],smi[N]; inline int work(CI mi) { RI i; int cur=0,mx=0; for (i=1;i<=n;++i) { if (s[i]=='?'&&smi[i]-cur-2>=mi) cur+=2; mx=max(mx,pfx[i]-cur); } return mx-mi; } int main() { RI i; for (scanf("%s",s+1),n=strlen(s+1),i=1;i<=n;++i) pfx[i]=pfx[i-1]+(s[i]=='0'?-1:1); smi[n]=pfx[n]; for (i=n-1;~i;--i) smi[i]=min(smi[i+1],pfx[i]); return printf("%d",min(work(smi[0]),work(smi[0]-1))),0; }
#ifdef DEBUG #define _GLIBCXX_DEBUG #endif #include <bits/stdc++.h> using namespace std; typedef long double ld; #ifdef DEBUG #define eprintf(...) fprintf(stderr, __VA_ARGS__), fflush(stderr) #else #define eprintf(...) ; #endif #define sz(x) ((int) (x).size()) #define TASK "text" const int inf = (int) 1.01e9; const long long infll = (long long) 1.01e18; const ld eps = 1e-9; const ld pi = acos((ld) -1); #ifdef DEBUG mt19937 mrand(300); #else mt19937 mrand(chrono::steady_clock::now().time_since_epoch().count()); #endif int rnd(int x) { return mrand() % x; } void precalc() { } const int maxn = (int) 1e6 + 5; char tmp[maxn]; int n; string s; bool read() { if (scanf("%s", tmp) < 1) { return false; } s = tmp; n = sz(s); return true; } bool check(int len) { int l = 0, r = len; bool odd = false; for (int i = 0; i < n; i++) { if (s[i] == '0') { l--; r--; } else if (s[i] == '1') { l++; r++; } else { l--; r++; } if (l < 0) { l += 1 + (int) odd; } if (r > len) { r -= 1 + (int) odd; } if (l > r) { return false; } if (l == r) { odd = true; } } return true; } void solve() { int l = 0, r = n; while (l < r - 1) { int m = (l + r) / 2; if (check(m)) { r = m; } else { l = m; } } printf("%d\n", r); } int main() { precalc(); #ifdef DEBUG assert(freopen(TASK ".in", "r", stdin)); assert(freopen(TASK ".out", "w", stdout)); #endif while (read()) { solve(); #ifdef DEBUG eprintf("Time %.2f\n", (double) clock() / CLOCKS_PER_SEC); #endif } return 0; }
#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 da[4], db[4]; da[1] = db[0] = da[3] = db[3] = -1; da[0] = db[1] = 1; int ma = 0, mb = 0; int a[2] = {-1, 0}, b[2] = {-1, 0}; for(int i = 0; i < s.size(); ++i) { char c = s[i]; ma += da[c&3]; if(ma < 0) ma = 0; mb += db[c&3]; if(mb < 0) mb = 0; a[i&1] = std::max(a[i&1], ma); b[i&1] = std::max(b[i&1], mb); } ma = std::max(a[0], a[1]); if(a[0] == a[1]) ++ma; mb = std::max(b[0], b[1]); if(b[0] == b[1]) ++mb; fin(std::max(ma, mb)); return 0; }
#include<bits/stdc++.h> #define ll long long #define uint unsigned int #define ull unsigned long long #define inf 1010000000 #define infll 1010000000000000000ll #define vi vector<int> #define vll vector<ll> #define pb push_back #define pii pair<int,int> #define pll pair<ll,ll> #define pdd pair<double,double> #define mpr make_pair #define fi first #define se second #define pq priority_queue<int> #define pqll priority_queue<ll> #define up(x,y) (x<(y)?x=(y):0) #define dn(x,y) (x>(y)?x=(y):0) #define ad(x,y) (x=(x+(y))%mod) #define cbn(x,y) ((ll)fac[x]*inv[y]%mod*inv[(x)-(y)]%mod) using namespace std; int read(); ll readll(); int n; char ch[1000009]; bool check(int B){ int i,x=0,y=B,z=2; for (i=1; i<=n; i++) if (ch[i]=='0'){ x--; y--; if (z<2) z^=1; if (x<0) x=0; if (z<2 && (x&1)!=z) x=1; if (x>y) return 0; } else if (ch[i]=='1'){ x++; y++; if (z<2) z^=1; if (y>B) y=B; if (z<2 && (y&1)!=z) y--; if (x>y) return 0; } else{ if (z==2){ if (x==y) z=y&1^1; x--; y++; if (x<0) x=0; if (z<2 && (x&1)!=z) x++; if (y>B) y=B; if (z<2 && (y&1)!=z) y--; if (x>y) return 0; } else{ x--; y++; z^=1; if (x<0) x=0; if ((x&1)!=z) x++; if (y>B) y=B; if ((y&1)!=z) y--; if (x>y) return 0; } } return 1; } int main(){ scanf("%s",ch+1); n=strlen(ch+1); int l=1,r=n,mid; while (l<r){ mid=l+r>>1; if (check(mid)) r=mid; else l=mid+1; } printf("%d\n",l); return 0; } int read(){ int x=0; char ch=getchar(); bool flag=0; while (ch<'0' || ch>'9'){ if (ch=='-') flag=1; ch=getchar(); } while (ch>='0' && ch<='9'){ x=x*10+ch-'0'; ch=getchar(); } return flag?-x:x; } ll readll(){ ll x=0; char ch=getchar(); bool flag=0; while (ch<'0' || ch>'9'){ if (ch=='-') flag=1; ch=getchar(); } while (ch>='0' && ch<='9'){ x=x*10+ch-'0'; ch=getchar(); } return flag?-x:x; }
#include <bits/stdc++.h> using namespace std; typedef long long Int; typedef pair<int,int> PII; typedef vector<int> VInt; #define FOR(i, a, b) for(i = (a); i < (b); ++i) #define RFOR(i, a, b) for(i = (a) - 1; i >= (b); --i) #define EACH(it, a) for(auto it = (a).begin(); it != (a).end(); ++it) #define CLEAR(a, b) memset(a, b, sizeof(a)) #define SIZE(a) int((a).size()) #define ALL(a) (a).begin(),(a).end() #define MP make_pair bool check(string& S, int limit) { int i; int a = 0, b = limit, step = 1; FOR(i, 0, SIZE(S)) { if(S[i] == '0') { --a; --b; } else if(S[i] == '1') { ++a; ++b; } else { --a; ++b; } if(a < 0) a += step; if(b > limit) b -= step; if(a > b) return false; if(a == b) step = 2; } return true; } void SolveTest(int test) { string S; cin >> S; int mn = 0, mx = SIZE(S); while(mx - mn > 1) { int md = (mx + mn)/2; if(check(S, md)) mx = md; else mn = md; } cout << mx << endl; } int main() { int T, t; T = 1; FOR(t, 0, T) SolveTest(t); return 0; };
#include <algorithm> #include <cstdio> #include <functional> #include <iostream> #include <cfloat> #include <climits> #include <cstdlib> #include <cstring> #include <cmath> #include <map> #include <unordered_map> #include <unordered_set> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <time.h> #include <complex> #include <vector> #include<limits> #include<iomanip> using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<long long, long long> pll; const long double pi = 3.141592653589793; #define debug(x) cout << #x << " = " << (x) << endl; #define rep(i, n) for(int i = 0;i < n;i++) #define repi(i, j, n) for(int i = j;i < n;i++) #define pb push_back #define mp make_pair #define mod 998244353 #define F first #define S second char ch; int A[1 << 20], B[1 << 20], C[1 << 20], N = 1; int solve(int M) { int max_left = 0, max_min = 0; int ops = 0; for(int i = 1;i < N;i++) { if(B[i] && (C[i] + 2*(ops + 1) <= M)) { ops += 1; } int to_add = 2*ops; max_min = min(A[i] + to_add, max_min); max_left = max(A[i] + to_add, max_left); } // debug(M); // debug(max_min); return M - max_min; } int main() { // freopen("input.in","r",stdin); //freopen("output.out","w",stdout); while(cin>>ch) { A[N] = (ch == '1' ? 1 : -1); if(ch == '?') B[N] = 1; N += 1; } int Z = A[0]; for(int i = 1;i < N;i++) { A[i] += A[i-1]; Z = max(Z, A[i]); } C[N-1] = A[N-1]; for(int i = N-2;i >= 1;i--) { C[i] = max(A[i], C[i+1]); } // rep(i,4) cout<<A[i+1]<<" "<<B[i+1] << " "<<C[i+1]<<endl; cout << min(solve(Z), solve(Z+1)) << endl; return 0; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; ll read(){ ll a=0,b=getchar(),c=1; while(!isdigit(b))c=b=='-'?-1:1,b=getchar(); while(isdigit(b))a=a*10+b-'0',b=getchar(); return a*c; } int n,ans; char s[1200005]; bool check(int t){ int l=0,r=t,p=0; for(int i=1;i<=n;i++){ if(s[i]=='0')l++,r++; if(s[i]=='1')l--,r--; if(s[i]=='?')l--,r++; if(!p){ l=max(l,0); r=min(r,t); } else{ if(l<0)l=1; if(r>t)r=t-1; } if(l>r)return 0; if(l==r)p=1; } return 1; } int main(){ scanf("%s",s+1); n=strlen(s+1); int l=1,r=n; while(l<=r){ int mid=(l+r)>>1; if(check(mid)) ans=mid,r=mid-1; else l=mid+1; } printf("%d",ans); return 0; }
#include <algorithm> #include <cassert> #include <cstring> #include <iostream> #include <vector> #define TRACE(x) std::cout << #x << " = " << x << "\n" #define _ << " _ " << using namespace std; const int MAX = 1001000; int fl[MAX][2], fr[MAX][2]; int main() { std::ios_base::sync_with_stdio(false); string S; cin >> S; int N = S.size(); auto can = [&](int K) -> bool { for (int i = 0; i <= N; ++i) { for (int j = 0; j < 2; ++j) { fl[i][j] = MAX, fr[i][j] = -MAX; } } fl[0][0] = 0, fr[0][0] = K - (K % 2 ? 1 : 0); fl[0][1] = 1, fr[0][1] = K - (K % 2 ? 0 : 1); for (int i = 0; i <= N; ++i) { for (int j = 0; j < 2; ++j) { fl[i][j] = max(fl[i][j], fl[0][j]); fr[i][j] = min(fr[i][j], fr[0][j]); if (fl[i][j] > fr[i][j]) fl[i][j] = MAX, fr[i][j] = -MAX; } if (i == N) break; if (S[i] == '0') { for (int j = 0; j < 2; ++j) { fl[i + 1][j ^ 1] = fl[i][j] - 1; fr[i + 1][j ^ 1] = fr[i][j] - 1; } } else if (S[i] == '1') { for (int j = 0; j < 2; ++j) { fl[i + 1][j ^ 1] = fl[i][j] + 1; fr[i + 1][j ^ 1] = fr[i][j] + 1; } } else { for (int j = 0; j < 2; ++j) { fl[i + 1][j ^ 1] = fl[i][j] - 1; fr[i + 1][j ^ 1] = fr[i][j] + 1; } } } return fl[N][0] <= fr[N][0] || fl[N][1] <= fr[N][1]; }; int lo = 0, hi = N; while (lo < hi) { int mid = (lo + hi) / 2; if (can(mid)) hi = mid; else lo = mid + 1; } cout << lo << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i,a,b) for(int i=a;i<(b);++i) #define debug(x) cerr<<#x<<": "<<x<<endl #define trav(a,x) for(auto &a:x) #define all(x) x.begin(),x.end() #define sz(x) (int)(x).size() typedef long long ll; typedef pair<int,int> pii; typedef vector<int> vi; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); string s; cin>>s; int n = sz(s); int lo = 1, hi = n; while(lo<hi) { int mid = (lo+hi)/2; bool either = false; rep(par,0,2) { int l = par; int r = mid-(mid%2); if(mid%2==0) r-=par; else r+=par; bool ok = true; rep(i,0,n) { if(s[i]=='0') { ++l; ++r; if(r>mid) r-=2; } else if(s[i]=='1') { --r; --l; if(l<0) l+=2; } else { if(r+1<=mid) ++r; else --r; if(l-1>=0) --l; else ++l; } if(l>r) { ok = false; break; } } if(ok) either = true; } if(either) hi = mid; else lo = mid+1; } cout<<lo<<"\n"; }
#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 ans = s.size(); int aa[] = {0, 1, 0, 1}; int bb[] = {0, -1, -1, 0}; for(int i = 0; i < 4; ++i) { int a = aa[i], b = bb[i]; int cur = a-b; for(auto c: s) { if(c=='0') { --a; --b; } else if(c=='1') { ++a; ++b; } else { --a; ++b; } if(a < 0) a += 2; if(b > 0) b -= 2; cur = std::max(cur, a-b); } ans = std::min(ans, cur); } fin(ans); return 0; }
#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] + 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; }
#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 l = 0, h = u; bool d = u == 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 (!d) l = max(l, 0), h = min(h, u); else { if (l < 0) l += 2; if (h > u) h -= 2; } if (l == h) d = true; if (l > h) return false; } return true; } 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"; }
#include <bits/stdc++.h> using namespace std; typedef double D; typedef long long int LL; #define st first #define nd second #define PLL pair <LL, LL> #define PII pair <int, int> const int N = 1e6 + 7; const int MX = 1e9 + 7; const LL INF = 1LL * MX * MX; int n; char in[N]; int limit[N]; int check(int v){ int zeroes = 0, ones = 0, mx = 0; for(int i = 1; i <= n; ++i){ char c = in[i]; if(c == '0'){ ++zeroes; } else if(c == '1'){ ++ones; mx = max(mx, ones - zeroes); } else{ if(zeroes - ones + limit[i] + 1 <= v) ++zeroes; else{ ++ones; mx = max(mx, ones - zeroes); } } } return mx + v; } int main(){ scanf("%s", in + 1); n = strlen(in + 1); int mx = 0; for(int i = n; i >= 1; --i){ limit[i] = mx; if(in[i] == '0'){ ++mx; } else{ --mx; if(mx < 0) mx = 0; } } int ans = N; int s = mx, e = n; while(e - s >= 5){ int mid = (s + e) / 2; int Left = min(check(mid - 1), check(mid)); int Right = min(check(mid + 1), check(mid + 2)); ans = min(ans, min(Left, Right)); if(Left < Right) e = mid; else s = mid + 1; } for(int i = s; i <= e; ++i) ans = min(ans, check(i)); printf("%d\n", ans); return 0; }
#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 da[4], db[4]; da[0] = db[0] = da[3] = -1; da[1] = db[1] = db[3] = 1; int a = 0, b = 0, m = 0, M = 0; int c0 = a-b, c1 = c0 + 1, c2 = c0 + 1, c3 = c0 + 2; for(auto c: s) { a += da[c&3]; if(a < 0) { a += 1; m ^= 1; } b += db[c&3]; if(b > 0) { b -= 1; M ^= 1; } c0 = std::max(c0, a-b+m+M); c1 = std::max(c1, a-b+m+(M^1)); c2 = std::max(c2, a-b+(m^1)+M); c3 = std::max(c3, a-b+(m^1)+(M^1)); } fin(std::min(std::min(c0, c1), std::min(c2, c3))); return 0; }
#include "bits/stdc++.h" using namespace std; #define FAST ios_base::sync_with_stdio(false); cin.tie(0); #define pb push_back #define eb emplace_back #define ins insert #define f first #define s second #define cbr cerr<<"hi\n" #define mmst(x, v) memset((x), v, sizeof ((x))) #define siz(x) ll(x.size()) #define all(x) (x).begin(), (x).end() #define lbd(x,y) (lower_bound(all(x),y)-x.begin()) #define ubd(x,y) (upper_bound(all(x),y)-x.begin()) mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); //can be used by calling rng() or shuffle(A, A+n, rng) inline long long rand(long long x, long long y) { return rng() % (y+1-x) + x; } //inclusivesss string inline to_string(char c) {string s(1,c);return s;} template<typename T> inline T gcd(T a,T b){ return a==0?llabs(b):gcd(b%a,a); } using ll=long long; using ld=long double; #define FOR(i,s,e) for(ll i=s;i<=ll(e);++i) #define DEC(i,s,e) for(ll i=s;i>=ll(e);--i) using pi=pair<ll,ll>; using spi=pair<ll,pi>; using dpi=pair<pi,pi>; #define llinf ((long long)1e18) #define inf int(1e9+1e6) #define maxn (1000006) ll n,psum[maxn]; string A; int main(){ FAST cin>>A; n=A.size(); A='*'+A; FOR(i,1,n){ psum[i]=psum[i-1]+(A[i] == '1' ? 1 : -1); } ll Z = *max_element(psum, psum+n+1); auto f=[&](ll x){ mmst(psum,0); FOR(i,1,n){ psum[i]=psum[i-1]+(A[i] == '1' ? 1 : -1); } vector<ll> suf_max(n+2, -llinf); DEC(i,n,1)suf_max[i]=max(suf_max[i+1], psum[i]); ll change=0; FOR(i,1,n){ if(A[i] == '?'){ if(suf_max[i] + 2 * (change+1) <= x) ++ change; } psum[i] += 2 * change; } return *min_element(psum, psum+n+1); }; cout<<min(Z - f(Z), Z+1 - f(Z+1))<<'\n'; }
#include <iostream> #include <cstdio> #include <cstring> #include <vector> #include <algorithm> #include <cmath> #include <stack> using namespace std; #define mp make_pair #define pb push_back #define ll long long //#define debug(x) ; #define debug(x) cerr << #x << " = " << x << "\n"; ostream& operator<<(ostream& cerr, vector<ll> aux) { cerr << "["; for (auto e : aux) cerr << e << ' '; cerr << "]"; return cerr; } const int maxN = 1000011; int n, curr, z; char s[maxN]; int aux[maxN]; stack<int> where; int check(int lower) { int higher = 0; curr = 0; while (!where.empty()) where.pop(); for (int i = 0; i < n; i++) { aux[i] = (s[i] == '1' ? +1 : -1); curr += aux[i]; if (s[i] == '?') where.push(i); if (curr < lower) { aux[where.top()] = 1; where.pop(); curr += 2; } } while (!where.empty()) where.pop(); for (int i = 0; i < n; i++) { if (i > 0) aux[i] += aux[i - 1]; higher = max(higher, aux[i]); } return higher - lower; } int main() { //freopen("test.in", "r", stdin); scanf("%s", s); n = strlen(s); for (int i = 0; i < n; i++) { curr += (s[i] == '0' ? -1 : +1); z = min(z, curr); } printf("%d", min(check(z), check(z - 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; 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 < 1) { low++; } else { low--; } if (s[i] == '0' || high > mid - 1) { high--; } else { high++; } ok = high >= low; } flag = ok; } if (flag) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include<bits/stdc++.h> #define ll long long #define ull unsigned ll #define uint unsigned #define pii pair<int,int> #define pll pair<ll,ll> #define IT iterator #define PB push_back #define fi first #define se second #define For(i,j,k) for (int i=(int)(j);i<=(int)(k);i++) #define Rep(i,j,k) for (int i=(int)(j);i>=(int)(k);i--) #define CLR(a,v) memset(a,v,sizeof(a)); #define CPY(a,b) memcpy(a,b,sizeof(a)); #define debug puts("wzpakking") #define y1 ysghysgsygsh using namespace std; const int N=1000005; char s[N]; int n; bool check(int v){ int l0=0,r0=v,l1=1,r1=v; v&1?r0--:r1--; For(i,1,n){ int nl0=1e9,nr0=-1e9; int nl1=1e9,nr1=-1e9; if (s[i]!='1'){ if (l1<=r1){ nl0=min(nl0,l1-1); nr0=max(nr0,r1-1); } if (l0<=r0){ nl1=min(nl1,l0-1); nr1=max(nr1,r0-1); } } if (s[i]!='0'){ if (l1<=r1){ nl0=min(nl0,l1+1); nr0=max(nr0,r1+1); } if (l0<=r0){ nl1=min(nl1,l0+1); nr1=max(nr1,r0+1); } } if (nl0<0) nl0+=2; if (nr0>v) nr0-=2; if (nl1<0) nl1+=2; if (nr1>v) nr1-=2; //cout<<l0<<' '<<l1<<' '<<r0<<' '<<r1<<endl; l0=nl0; l1=nl1; r0=nr0; r1=nr1; //cout<<l0<<' '<<l1<<' '<<r0<<' '<<r1<<endl; } return l0<=r0||l1<=r1; } int main(){ scanf("%s",s+1); n=strlen(s+1); int l=1,r=n,ans=-1; while (l<=r){ int mid=(l+r)/2; if (check(mid)) ans=mid,r=mid-1; else l=mid+1; } cout<<ans; } /* >_< */
/*************************************************************** File name: B.cpp Author: huhao Create time: Sun 07 Jun 2020 08:22:30 PM CST ***************************************************************/ #include<stdio.h> #include<string.h> #include<math.h> #include<algorithm> #define fr(i,a,b) for(int i=(a),end_##i=(b);i<=end_##i;i++) #define fd(i,a,b) for(int i=(a),end_##i=(b);i>=end_##i;i--) int read() { int r=0,t=1,c=getchar(); while(c<'0'||c>'9') { t=c=='-'?-1:1; c=getchar(); } while(c>='0'&&c<='9') { r=r*10+c-48; c=getchar(); } return r*t; } const int N=1000010; int f,g,F,G,n; char s[N]; void solve(int m,int w,int l,int r) { if(l<0){ f=std::max(f,m); l+=2; } if(r>w){ g=std::max(g,m); r-=2; } if(l>r) return ; if(m>n){ printf("%d\n",w); exit(0); } if(s[m]=='0') solve(m+1,w,l+1,r+1); else if(s[m]=='1') solve(m+1,w,l-1,r-1); else solve(m+1,w,l-1,r+1); } int main() { scanf("%s",s+1); n=strlen(s+1); f=g=1; fr(i,1,n) { F=f; G=g; f=-1; g=-1; if(F!=-1) solve(F,i,0,0); if(G!=-1) solve(G,i,i,i); } return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) constexpr int MX = 1000005; char s[MX]; int ac[MX], am[MX], t, n, z, mi[2], aa[2]; int main(){ scanf("%s", s); n = strlen(s); rep(i,n) z = max(z, ac[i] = t += s[i] == '1' ? 1 : -1); am[n-1] = ac[n-1]; for(int i=n-2; i>=0; i--) am[i] = max(am[i+1], ac[i]); rep(i,n) rep(j,2){ if(s[i] == '?' && am[i] + aa[j] + 2 <= z + j) aa[j] += 2; if(mi[j] > ac[i] + aa[j]) mi[j] = ac[i] + aa[j]; } printf("%d\n", min(z-mi[0],z+1-mi[1])); }
#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 da[4], db[4]; da[1] = db[0] = da[3] = db[3] = -1; da[0] = db[1] = 1; int a0 = 0, b0 = 0, a1 = -1, b1 = -1, ma = 0, mb = 0; for(int i = 0; i < s.size(); ++i) { char c = s[i]; ma += da[c&3]; if(ma < 0) ma = 0; mb += db[c&3]; if(mb < 0) mb = 0; if(i&1) { a0 = std::max(a0, ma); b0 = std::max(b0, mb); } else { a1 = std::max(a1, ma); b1 = std::max(b1, mb); } } ma = std::max(a0, a1); if(a0 == a1) ++ma; mb = std::max(b0, b1); if(b0 == b1) ++mb; fin(std::max(ma, mb)); return 0; }
#include<bits/stdc++.h> using namespace std; const int MAXN = 1e6 + 5; typedef long long ll; template <typename T> void chkmax(T &x, T y) {x = max(x, y); } template <typename T> void chkmin(T &x, T y) {x = min(x, y); } template <typename T> void read(T &x) { x = 0; int f = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -f; for (; isdigit(c); c = getchar()) x = x * 10 + c - '0'; x *= f; } char s[MAXN]; int n, a[MAXN], sMin[MAXN]; bool b[MAXN]; void init() { for (int i = 1; i <= n; i++) { if (s[i] == '0') a[i] = a[i - 1] - 1; else a[i] = a[i - 1] + 1; if (s[i] == '?') b[i] = true; } sMin[n + 1] = n + 5; for (int i = n; i >= 0; i--) sMin[i] = min(sMin[i + 1], a[i]); } int work(int limit) { int mns = 0; for (int i = 1; i <= n; i++) { if (s[i] == '?' && sMin[i] - mns - 2 >= limit) { b[i] = false; mns += 2; } a[i] -= mns; } int Max = 0; for (int i = 1; i <= n; i++) chkmax(Max, a[i]); return Max - limit; } int main() { scanf("%s", s + 1); n = strlen(s + 1); int ans = n + 5, tmp = 0; init(); chkmin(ans, work(sMin[0])); init(); chkmin(ans, work(sMin[0] - 1)); cout << ans << endl; return 0; }
#include <bits/stdc++.h> #define mp make_pair #define pb push_back #define all(x) x.begin(),x.end() #define cmin(a,b) (a>b?a=b:a) #define cmax(a,b) (a<b?a=b:a) #define mem(a,k) memset(a,k,sizeof(a)) #define lop(i,s,t) for(int i=s;i<(t);++i) #define rep(i,s,t) for(int i=s;i<=(t);++i) #define dec(i,s,t) for(int i=s;i>=(t);--i) #define fore(i,v) for(int i=g[v],d=es[i].d;i;i=es[i].nxt,d=es[i].d) using namespace std; #define Pr(f,...) fprintf(stderr,f,##__VA_ARGS__),fflush(stderr) typedef long long ll; template<typename T> void read(T &x){ x=0; char c; for(c=getchar();!isdigit(c);c=getchar()); for(;isdigit(c);c=getchar())x=x*10+c-'0'; } const int N=1e6+50,P=1e9+7,oo=P; int mul(int a,int b){ return 1ll*a*b%P; } //int add(int a,int b){ a+=b; return a>=P?a-P:a; } int sub(int a,int b){ a-=b; return a<0?a+P:a; } int gcd(int a,int b){ return !b?a:gcd(b,a%b); } int z,n,sum[N],mx[N],ans; char s[N]; int main(int argc,char *argv[]){ #ifdef CURIOUSCAT freopen("d.in","r",stdin); #endif scanf("%s",s+1); z=0,n=strlen(s+1); rep(i,1,n){ sum[i]=sum[i-1]+(s[i]=='1'?1:-1); cmax(z,sum[i]); } mx[n+1]=-oo; dec(i,n,1){ mx[i]=max(mx[i+1],sum[i]); } ans=oo; lop(k,0,2){ int w=0,mn=0; rep(i,1,n){ if(s[i]=='?'&&w+mx[i]+2<=z+k){ w+=2; } cmin(mn,w+sum[i]); } cmin(ans,z+k-mn); } cout<<ans<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; #define cs const #define pb push_back #define pii pair<int,int> #define fi first #define se second #define ll long long #define bg begin namespace IO{ cs int RLEN=1<<22|1; char ibuf[RLEN],*ib,*ob; inline char gc(){ (ib==ob)&&(ob=(ib=ibuf)+fread(ibuf,1,RLEN,stdin)); return (ib==ob)?EOF:*ib++; } inline int read(){ char ch=gc(); int res=0;bool f=0; while(!isdigit(ch))f=ch=='-',ch=gc(); while(isdigit(ch))res=(res*10)+(ch^48),ch=gc(); return f?-res:res; } inline ll readll(){ char ch=gc(); ll res=0;bool f=0; while(!isdigit(ch))f=ch=='-',ch=gc(); while(isdigit(ch))res=(res*10)+(ch^48),ch=gc(); return f?-res:res; } inline int readstring(char *s){ int top=0;char ch=gc(); while(isspace(ch))ch=gc(); while(!isspace(ch)&&ch!=EOF)s[++top]=ch,ch=gc(); s[top+1]='\0';return top; } } using IO::read; using IO::readll; using IO::readstring; template<typename tp>inline void chemx(tp &a,tp b){(a<b)?(a=b):0;} template<typename tp>inline void chemn(tp &a,tp b){(a>b)?(a=b):0;} cs int N=1000005; int n,lmn,a[N]; char str[N]; int main(){ #ifdef Stargazer freopen("lx.in","r",stdin); #endif n=readstring(str); for(int i=1,s=0;i<=n;i++){ s+=(str[i]=='1')?1:-1; chemx(lmn,s),a[i]=s; }int res=1e9; for(int i=n-1;i>=1;i--)chemx(a[i],a[i+1]); for(int t=0;t<2;t++){ lmn+=t;int f=0; for(int i=1,s=0,del=0;i<=n;i++){ if(str[i]=='?'&&a[i]+s+2<=lmn)s+=2; del+=(str[i]=='1')?1:-1; chemn(f,del+s); } chemn(res,lmn-f); }cout<<res<<'\n';return 0; }
#include <bits/stdc++.h> using namespace std; #define Maxn 1000007 char s[Maxn]; int val[Maxn],sum[Maxn],r[Maxn]; bool flag[Maxn]; int n; int main() { scanf("%s",s+1); n=strlen(s+1); memset(flag,false,sizeof(flag)); int mx=0; for (int i=1;i<=n;i++) { if (s[i]=='1') val[i]=1; else if (s[i]=='0') val[i]=-1; else { flag[i]=true; val[i]=-1; } sum[i]=sum[i-1]+val[i]; mx=max(mx,sum[i]); } r[n]=sum[n]; for (int i=n-1;i;i--) r[i]=max(sum[i],r[i+1]); int tmp=0; for (int i=1;i<=n;i++) if (flag[i]) { if (r[i]+tmp+2<=mx) { tmp+=2; val[i]=1; } } int mn=0; for (int i=1;i<=n;i++) { sum[i]=sum[i-1]+val[i]; mn=min(mn,sum[i]); } int ans=mx-mn; ++mx; for (int i=1;i<=n;i++) { if (s[i]=='1') val[i]=1; else if (s[i]=='0') val[i]=-1; else { flag[i]=true; val[i]=-1; } sum[i]=sum[i-1]+val[i]; } r[n]=sum[n]; for (int i=n-1;i;i--) r[i]=max(sum[i],r[i+1]); tmp=0; for (int i=1;i<=n;i++) if (flag[i]) { if (r[i]+tmp+2<=mx) { tmp+=2; val[i]=1; } } mn=0; for (int i=1;i<=n;i++) { sum[i]=sum[i-1]+val[i]; mn=min(mn,sum[i]); } ans=min(ans,mx-mn); printf("%d\n",ans); return 0; }
#include <iostream> #include <sstream> #include <algorithm> #include <cstdio> #include <cmath> #include <set> #include <map> #include <queue> #include <string> #include <cstring> #include <bitset> #include <functional> #include <random> #define REP(_i,_a,_n) for(int _i=_a;_i<=_n;++_i) #define PER(_i,_a,_n) for(int _i=_n;_i>=_a;--_i) #define hr putchar(10) #define pb push_back #define lc (o<<1) #define rc (lc|1) #define mid ((l+r)>>1) #define ls lc,l,mid #define rs rc,mid+1,r #define x first #define y second #define io std::ios::sync_with_stdio(false) #define endl '\n' #define DB(_a) ({REP(_i,1,n) cout<<_a[_i]<<',';hr;}) using namespace std; typedef long long ll; typedef pair<int,int> pii; const int P = 1e9+7, INF = 0x3f3f3f3f; ll gcd(ll a,ll b) {return b?gcd(b,a%b):a;} ll qpow(ll a,ll n) {ll r=1%P;for (a%=P;n;a=a*a%P,n>>=1)if(n&1)r=r*a%P;return r;} ll inv(ll x){return x<=1?1:inv(P%x)*(P-P/x)%P;} inline int rd() {int x=0;char p=getchar();while(p<'0'||p>'9')p=getchar();while(p>='0'&&p<='9')x=x*10+p-'0',p=getchar();return x;} //head #ifdef __APPLE__ const int N = 1e2+50; #else const int N = 1e6+50; #endif int n, mi[N], sum[N]; char s[N]; int solve(int x) { int tot = 0, now = 0, mx = 0; REP(i,1,n) { if (s[i]=='?') { if (mi[i]-tot-2>=x) --now,tot+=2; else ++now; } else if (s[i]=='0') --now; else ++now; mx = max(mx, now); } return mx; } int main() { scanf("%s", s+1); n = strlen(s+1); REP(i,1,n) sum[i] = sum[i-1]+(s[i]=='0'?-1:1); mi[n] = sum[n]; PER(i,0,n-1) mi[i] = min(mi[i+1], sum[i]); printf("%d\n", min(solve(mi[0])-mi[0],solve(mi[0]-1)-mi[0]+1)); }
#include <bits/stdc++.h> using namespace std; typedef long long LL; typedef pair<int, int> pii; #ifdef DEBUG #define display(x) cerr << #x << " = " << (x) << endl; #define displaya(a, st, n)\ {cerr << #a << " = {";\ for(int qwq = (st); qwq <= (n); ++qwq) {\ if(qwq == (st)) cerr << ((a)[qwq]);\ else cerr << ", " << ((a)[qwq]);\ } cerr << "}" << endl;} #define displayv(v) displaya(v, 0, (int)(v).size() - 1) #define eprintf(...) fprintf(stderr, __VA_ARGS__) #else #define display(x) ; #define displaya(a, st, n) ; #define displayv(v) ; #define eprintf(...) if(0) fprintf(stderr, "...") #endif template<typename T> bool chmin(T &a, const T &b) { return a > b ? a = b, true : false; } template<typename T> bool chmax(T &a, const T &b) { return a < b ? a = b, true : false; } template<typename A, typename B> ostream& operator << (ostream& out, const pair<A, B> &p) { return out << '(' << p.first << ", " << p.second << ')'; } const int maxN = 1000000 + 5; int n, s[maxN]; char a[maxN]; int work(int low) { s[0] = 0; for(int i = 1; i <= n; ++i) s[i] = s[i - 1] + 1 - 2 * int(a[i] == '0'); for(int i = n, pf = s[n]; i >= 1; --i) { chmin(pf, s[i]); s[i] = pf - s[i - 1]; } displaya(s, 0, n); int now = 0, mx = 0; for(int i = 1; i <= n; ++i) { if(a[i] == '0') now--; else if(a[i] == '1') now++; else { if(now + s[i] - 2 >= low) now--; else now++; } chmax(mx, now); display(now); } return mx - low; } int main() { #ifndef LOCAL ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); #endif cin >> (a + 1); n = strlen(a + 1); s[0] = 0; for(int i = 1; i <= n; ++i) s[i] = s[i - 1] + 1 - 2 * int(a[i] == '0'); int mn = *min_element(s, s + n + 1); int a1 = work(mn); int a2 = work(mn - 1); eprintf("a1 = %d, a2 = %d\n", a1, a2); cout << min(a1, a2) << endl; return 0; }
#include<bits/stdc++.h> using namespace std; template<typename T>inline T read(){ T x=0,f=0;char c=getchar(); while(!isdigit(c)) f=c=='-',c=getchar(); while(isdigit(c)) x=x*10+c-48,c=getchar(); return f?-x:x; } namespace run{ const int N=1e6+9; int n,sum[N],g[N],ans=N;char s[N],t[N]; inline void solve(int Z){ for(int i=1;i<=n;i++) t[i]=s[i]; for(int i=n;i>=1;i--) g[i]=(Z-sum[i])/2; for(int i=n-1;i>=1;i--) g[i]=min(g[i],g[i+1]); // for(int i=1;i<=n;i++) cout<<g[i]<<" ";cout<<endl; int now=0; for(int i=1;i<=n;i++) if(t[i]=='?'){ if(now<g[i]) t[i]='1',now++; else t[i]='0'; } int tmp=0,mn=0,mx=0; for(int i=1;i<=n;i++){ tmp+=(t[i]=='1')*2-1; mn=min(tmp,mn),mx=max(tmp,mx); } // for(int i=1;i<=n;i++) cout<<t[i]<<" ";cout<<endl; // cout<<mn<<" "<<mx<<endl; ans=min(ans,mx-mn); } int main(){ scanf("%s",s+1),n=strlen(s+1); int Z=0; for(int i=1;i<=n;i++) sum[i]=sum[i-1]+((s[i]=='1')*2-1),Z=max(Z,sum[i]); // cout<<Z<<endl; solve(Z),solve(Z+1); printf("%d\n",ans); return 0; } } int main(){ #ifdef my freopen(".in","r",stdin); freopen(".out","w",stdout); #endif return run::main(); }
#include<iostream> #include<cstring> #include<cstdio> using namespace std; #define N 1000012 int n,Z,a[N],s[N];char sc[N]; inline int calc(int m) { int i,sum=0,mi=0; for(i=1;i<=n;i++){if(sc[i]=='?'){if(max(sum+1,sum+1+s[i+1])<=m)++sum;else --sum;}else sum+=a[i];mi=min(mi,sum);}return mi; } int main(){ scanf("%s",sc+1);n=strlen(sc+1);Z=0;int i,sum=0; for(i=1;i<=n;i++){a[i]=(sc[i]=='1')?1:(-1);sum+=a[i];Z=max(Z,sum);} s[n+1]=0;for(i=n;i>=1;i--)s[i]=max(s[i+1]+a[i],a[i]);printf("%d",min(Z-calc(Z),Z+1-calc(Z+1)));return 0; }
#include <iostream> #include <algorithm> #include <cmath> #include <stdio.h> #include <stdlib.h> #include <vector> #include <map> #include <queue> #include <set> #include <string> #include <string.h> #include <stack> #include <assert.h> #include <bitset> #define Endl endl #define mp make_pair #define ll long long #define ull unsigned long long #define pii pair<int,int> #define pll pair<ll,ll> #define over(A) {cout<<A<<endl;exit(0);} #define all(A) A.begin(),A.end() #define ceil(a,b) ((a-1)/b+1) #define quickcin ios_base::sync_with_stdio(false); const int mod=1e9+7; const int inf=1039074182; const ll llinf=1LL*inf*inf; using namespace std; template <typename T1,typename T2> inline void chmin(T1 &x,T2 b) {if(b<x) x=b;} template <typename T1,typename T2> inline void chmax(T1 &x,T2 b) {if(b>x) x=b;} template <typename T1,typename T2> inline void chadd(T1 &x,T2 b) {x+=b;if(x>=mod) x-=mod;} template <typename T1,typename T2> inline void chmul(T1 &x,T2 b) {x=1LL*x*b%mod;} template <typename T1,typename T2> inline void chmod(T1 &x,T2 b) {x%=b,x+=b;if(x>=b) x-=b;} string s; int n; int sum[1000005]; int maxch[1000005]; int main() { // freopen("input.txt","r",stdin); cin>>s; n=s.size(); string ts=s; int mx=0; for(int i=0;i<n;i++) { sum[i]=(i?sum[i-1]:0)+(s[i]=='1'?1:-1); chmax(mx,sum[i]); } int res=inf; for(int k=0;k<2;k++) { s=ts; int mx=0; for(int i=0;i<n;i++) { sum[i]=(i?sum[i-1]:0)+(s[i]=='1'?1:-1); chmax(mx,sum[i]); } mx+=k; for(int i=n-1;i>=0;i--) { maxch[i]=min((i==n-1?inf:maxch[i+1]),(mx-sum[i])/2); } int ss=0; for(int i=0;i<n;i++) { if(s[i]!='?') continue; if(ss<maxch[i]) { ss++; s[i]='1'; } } for(int i=0;i<n;i++) { if(s[i]=='?') s[i]='0'; } int mn=0; for(int i=0;i<n;i++) { sum[i]=(i?sum[i-1]:0)+(s[i]=='1'?1:-1); chmin(mn,sum[i]); } chmin(res,mx-mn); } cout<<res<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; string s; int n,mi,p[1000010]; int tr(int x){ int mi=0; for (int i=0,j=0;i<n;i++){if (s[i]=='1') j++;else j--;p[i]=(x-j)/2;} for (int i=n-2;i>=0;i--)p[i]=min(p[i+1],p[i]); for (int i=0,j=0,k=0;i<n;i++){ if (s[i]=='1')j++;if (s[i]=='0')j--; if (s[i]=='?'){if (k<p[i])k++,j++;else j--;} mi=min(mi,j); } return x-mi; } int main(){ cin>>s;n=s.length();mi=0; for (int i=0,j=0;i<n;i++){if (s[i]=='1')j++;else j--;mi=max(mi,j);} cout<<min(tr(mi),tr(mi+1))<<endl; return 0; }
#include<bits/stdc++.h> #define cs const #define pb push_back using namespace std; cs int N = 1e6 + 50; cs int INF = 1e9 + 7; char S[N]; int n, a[N]; int chk(int lm){ static int sf[N];sf[n+1]=-INF; for(int i=n; i>=0; i--) sf[i]=max(sf[i+1],a[i]); static bool o[N]; int t=0; for(int i=1;i<=n;i++){ if(S[i]=='?'&&sf[i]+t+2<=lm)t+=2,o[i]=true; else o[i]=false; } int mn=0; for(int i=1,sm=0;i<=n;i++){ if(S[i]=='?')sm+=o[i]?1:-1; else sm+=(S[i]=='0')?-1:1; mn=min(mn,sm); } return lm-mn; } int main(){ #ifdef FSYolanda freopen("1.in","r",stdin); #endif 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); int mx=-INF; for(int i=0; i<=n; i++) mx=max(mx,a[i]); cout<<min(chk(mx),chk(mx+1)); return 0; }
#include<bits/stdc++.h> using namespace std; #define N 1200000 int n,ans; char s[N]; bool check(int t){ int l=0,r=t,p=0; for (int i=1;i<=n;++i){ if (s[i]=='0'){++l; ++r;} if (s[i]=='1'){--l; --r;} if (s[i]=='?'){--l; ++r;} if (!p){ l=max(l,0); r=min(r,t); } else{ if (l<0) l=1; if (r>t) r=t-1; } if (l>r) return 0; if (l==r) p=1; } return 1; } int main(){ scanf("%s",s+1); n=strlen(s+1); int l=1,r=n; while (l<=r){ int mid=(l+r)>>1; if (check(mid)){ans=mid; r=mid-1;} else l=mid+1; } printf("%d\n",ans); return 0; }
#include <bits/stdc++.h> using namespace std; #ifdef LOCAL #define eprintf(...) fprintf(stderr, __VA_ARGS__) #else #define eprintf(...) 42 #endif using ll = long long; using ld = long double; using D = double; using uint = unsigned int; template<typename T> using pair2 = pair<T, T>; using pii = pair<int, int>; using pli = pair<ll, int>; using pll = pair<ll, ll>; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); #define pb push_back #define mp make_pair #define all(x) (x).begin(),(x).end() #define fi first #define se second const int maxn = 1000006; char s[maxn]; int n; bool can(int mxb) { //cout << "can " << mxb << endl; for (int par = 0; par < 2; par++) { int low = par; int high = (mxb % 2 == par ? mxb : mxb - 1); if (low > high) continue; assert(low % 2 == high % 2); bool ok = true; for (int i = 0; i < n; i++) { if (s[i] == '0') { if (low == 0) low = 1; else low--; high--; } else if (s[i] == '1') { if (high == mxb) high = mxb - 1; else high++; low++; } else if (s[i] == '?') { if (low == 0) low = 1; else low--; if (high == mxb) high = mxb - 1; else high++; } else assert(false); //cout << i << ' ' << low << ' ' << high << endl; if (low > high) { ok = false; break; } } if (ok) return true; } return false; } int main() { scanf("%s", s); n = strlen(s); int l = 0; int r = n; while (r - l > 1) { int m = (l + r) / 2; if (can(m)) r = m; else l = m; } printf("%d\n", r); return 0; }
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; #define maxn 1000010 int n,sum[maxn],msum[maxn]; char s[maxn]; int main() { scanf("%s",s+1);n=strlen(s+1); for(int i=1;i<=n;i++)sum[i]=sum[i-1]+(s[i]=='1'?1:-1); msum[n]=sum[n];for(int i=n-1;i>=1;i--)msum[i]=max(msum[i+1],sum[i]); int mx=max(msum[1],0),mn,now,ans=n+1; for(int j=1;j<=2;j++) { now=mn=0; for(int i=1;i<=n;i++) { if(s[i]=='?'){if(msum[i]-sum[i-1]+now+2<=mx)now++; else now--;} else if(s[i]=='1')now++; else now--; // printf("%c : %d %d %d\n",s[i],now,msum[i],sum[i-1]); mn=min(mn,now); } ans=min(ans,mx-mn);mx++; } printf("%d",ans); }
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) typedef long long Int; int main() { string S; cin >> S; Int N; N = S.size(); vector<Int> v(N, 0), sum(N, 0), m(N, 0); Int Z = 0; rep(i,N) { if (S[i] == '1') v[i] = 1; else v[i] = -1; } sum[0] = v[0]; Z = max(Z, v[0]); rep1(i,N-1) { sum[i] = sum[i-1] + v[i]; Z = max(Z, sum[i]); } //cout << Z << endl; m[N-1] = sum[N-1]; Int tmp = sum[N-1]; rep(i,N-1) { if (tmp >= sum[N-2-i]) m[N-2-i] = tmp; else { tmp = sum[N-2-i]; m[N-2-i] = tmp; } } Int tmp1 = 0, min1 = 0, max1 = 0, tmp2 = 0, min2 = 0, max2 = 0; rep(i,N) { if (S[i] == '?') { if (tmp1 + 1 + m[i] - sum[i] <= Z) { tmp1++; } else tmp1--; } else { tmp1 += v[i]; } min1 = min(min1, tmp1); max1 = max(max1, tmp1); } rep(i,N) { if (S[i] == '?') { if (tmp2 + 1 + m[i] - sum[i] <= Z+1) { tmp2++; } else tmp2--; } else { tmp2 += v[i]; } min2 = min(min2, tmp2); max2 = max(max2, tmp2); } Int ans = 0; ans = min(max1-min1, max2-min2); cout << ans << endl; }
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; char s[1000001]; int a[1000000]; int calc(int n, int m) { int x = 0, y = 0, i; for (i = 0; i < n; i++) { if (s[i] == '1' || (s[i] == '?' && x + 1 + a[i] <= m)) { x++; } else { x--; } y = min(y, x); } return m - y; } int main() { int n, m = 0, x = 0, y = 0, i; scanf("%s", s); n = strlen(s); for (i = 0; i < n; i++) { if (s[i] == '1') { x++; } else { x--; } m = max(m, x); } x = 0; for (i = n - 1; i >= 0; i--) { a[i] = y - x; if (s[i] == '1') { x--; } else { x++; } y = max(y, x); } printf("%d\n", min(calc(n, m), calc(n, m + 1))); return 0; }
#include <iostream> #include <sstream> #include <algorithm> #include <cstdio> #include <cmath> #include <set> #include <map> #include <queue> #include <string> #include <cstring> #include <bitset> #include <functional> #include <random> #define REP(_i,_a,_n) for(int _i=_a;_i<=_n;++_i) #define PER(_i,_a,_n) for(int _i=_n;_i>=_a;--_i) #define hr putchar(10) #define pb push_back #define lc (o<<1) #define rc (lc|1) #define mid ((l+r)>>1) #define ls lc,l,mid #define rs rc,mid+1,r #define x first #define y second #define io std::ios::sync_with_stdio(false) #define endl '\n' #define DB(_a) ({REP(_i,1,n) cout<<_a[_i]<<',';hr;}) using namespace std; typedef long long ll; typedef pair<int,int> pii; const int P = 1e9+7, INF = 0x3f3f3f3f; ll gcd(ll a,ll b) {return b?gcd(b,a%b):a;} ll qpow(ll a,ll n) {ll r=1%P;for (a%=P;n;a=a*a%P,n>>=1)if(n&1)r=r*a%P;return r;} ll inv(ll x){return x<=1?1:inv(P%x)*(P-P/x)%P;} inline int rd() {int x=0;char p=getchar();while(p<'0'||p>'9')p=getchar();while(p>='0'&&p<='9')x=x*10+p-'0',p=getchar();return x;} //head #ifdef __APPLE__ const int N = 1e2+50; #else const int N = 1e6+50; #endif char s[N]; int n; int chk(int x) { REP(k,0,1) { int a=k, b=x; if (a%2!=b%2) --b; REP(i,1,n) { if (s[i]=='0') --a,--b; else if (s[i]=='1') ++a,++b; else --a,++b; if (a<0) a+=2; if (b>x) b-=2; if (b<a) break; if (i==n) return 1; } } return 0; } int main() { scanf("%s", s+1); n = strlen(s+1); if (n==1) return puts("1"),0; int l = 0, r = n, ans; while (l<=r) { if (chk(mid)) ans=mid,r=mid-1; else l=mid+1; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; #define REP(i,a,b) for(int i = a; i <= b; ++i) #define PER(i,a,b) for(int i = a; i >= b; --i) #define MP make_pair #define PB push_back #define fi first #define se second typedef long long LL; typedef long double LD; const int maxn = 1e6; int n, f[maxn+5], mx[maxn+5], mi[maxn+5]; char ss[maxn+5]; int run(int lim) { int mmi = 0, mmx = 0, del = 0; for(int i = 1; i <= n; ++i) { if(ss[i]=='?' && mx[i]+del+2<=lim) del += 2; mmi = min(mmi, f[i]+del); mmx = max(mmx, f[i]+del); } return mmx-mmi; } int main() { scanf("%s", ss+1), n = strlen(ss+1); f[0] = 0; REP(i,1,n) { if(ss[i] == '1') f[i] = 1; else f[i] = -1; f[i] += f[i-1]; } mx[n] = mi[n] = f[n]; for(int i = n-1; i >= 0; --i) { mx[i] = max(f[i], mx[i+1]); mi[i] = min(f[i], mi[i+1]); } int ans = min(run(mx[0]), run(mx[0]+1)); printf("%d\n", ans); return 0; }
#include<string> #include<iostream> #include<vector> #include<algorithm> using namespace std; using ll = long long; using P = pair<ll, ll>; #define rep(i, n) for(ll i = 0; i < (ll)n; i++) #define rrep(i, n) for(ll i = (ll)(n-1); i >= 0; i--) int main() { string S; cin>>S; ll N=S.size(); //assume ? == 0 vector<ll> sums(N,-1); ll x = 0; rep(i,N){ char c = S[i]; //x is sum if(c=='1'){ x+=1; }else{ x-=1; } sums[i]=x; } vector<ll> maxSums(N,-1); ll maxSum=sums[N-1]; rrep(i,N){ maxSum=max(maxSum,sums[i]); maxSums[i]=maxSum; } ll limit1 = max(maxSum,(ll) 0);//max(maxSum,(ll)0); ll limit2 = limit1+1;//max(maxSum+1,(ll) 0); string S1(S); string S2(S); ll cnt=0; rep(i,N){ if (S[i]!='?') continue; ll cur = maxSums[i] + cnt*2; if (limit1 >= cur + 2){ cnt += 1; S1[i] = '1'; }else{ S1[i] = '0'; } } cnt=0; rep(i,N){ if (S[i]!='?') continue; ll cur = maxSums[i] + cnt*2; if (limit2 >= cur + 2){ cnt += 1; S2[i] = '1'; }else{ S2[i] = '0'; } } ll min1=0; ll max1=0; x=0; rep(i,N){ char c = S1[i]; if(c=='1'){ x+=1; }else{ x-=1; } min1 = min(min1,x); max1 = max(max1,x); } ll min2=0; ll max2=0; x=0; rep(i,N){ char c = S2[i]; if(c=='1'){ x+=1; }else{ x-=1; } min2 = min(min2,x); max2 = max(max2,x); } ll ans = min(max1-min1,max2-min2); cout<<ans<<endl; return 0; }
#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); suf[len]=pre[len]; per(i,len-1,1) suf[i]=min(suf[i+1],pre[i]); mn=min(mn,suf[1]); rep(j,1,2) { int 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> #define fi first #define se second const int N = 1000011; const long long mod = 1e9 + 7; using namespace std; int n; int mx[N]; string s; int solve(int B) { int cur = 0, A = 0; for(int i = 0; i < n; i++){ if(s[i] == '0'){ cur -= 1; } else if(s[i] == '1'){ cur += 1; } else{ if(cur + 1 + max(0, mx[i + 1]) > B){ cur -= 1; } else{ cur += 1; } } A = min(A, cur); } return B - A; } int main() { ios_base::sync_with_stdio(0); //freopen("input.txt", "r", stdin); //freopen("output.txt", "w", stdout); cin >> s; n = s.size(); for(int i = n - 1; i >= 0; i--){ mx[i] = max(0, mx[i + 1]) + (s[i] == '1' ? 1 : -1); } int l = 0, r = n; for(int i = 0, cur = 0; i < n; i++){ cur += (s[i] == '1' ? 1 : -1); l = max(l, cur); } int res = solve(l); for(int i = 1; i <= 40; i++){ if(i + l <= n){ res = min(res, solve(i + l)); } } while(l + 40 < r){ int m = (r - l) / 3; int h1 = l + m, h2 = r - m; if(solve(h1) < solve(h2)){ r = h2; } else{ l = h1; } } while(l <= r){ res = min(res, solve(l)); l += 1; } cout << res << "\n"; }
#include <bits/stdc++.h> using namespace std; template <typename T> void read(T &t) { t=0; char ch=getchar(); int f=1; while (ch<'0'||ch>'9') { if (ch=='-') f=-1; ch=getchar(); } do { (t*=10)+=ch-'0'; ch=getchar(); } while ('0'<=ch&&ch<='9'); t*=f; } const int maxn=(1e6)+10; const int INF=(1e9); int n,sum[maxn],mx[maxn]; char s[maxn]; int solve(int mid) { int mn=0,now=0,mxx=0; for (int i=1;i<=n;i++) { if (s[i]=='?') { if (mx[i]+2+now<=mid) { now+=2; } } mn=min(mn,sum[i]+now); mxx=max(mxx,sum[i]+now); } if (mxx>mid) return INF; return mid-mn; } int main() { //freopen("1.txt","r",stdin); scanf("%s",s+1); n=strlen(s+1); for (int i=1;i<=n;i++) { sum[i]=sum[i-1]; if (s[i]=='1') sum[i]++; else sum[i]--; } mx[n]=sum[n]; for (int i=n-1;i>=1;i--) mx[i]=max(mx[i+1],sum[i]); //for (int i=0;i<=n;i++) printf("%d ",solve(i)); printf("\n"); int l=0,r=n-1,res=n,mid,ans=2*n; while (l<=r) { mid=(l+r)/2; if (solve(mid)<solve(mid+1)) r=mid-1,res=mid; else l=mid+1; } for (int i=res-10;i<=res+10;i++) if (0<=i&&i<=n) ans=min(ans,solve(i)); printf("%d\n",ans); return 0; } /* 0. Enough array size? Enough array size? Enough array size? Interger overflow? 1. Think TWICE, Code ONCE! Are there any counterexamples to your algo? 2. Be careful about the BOUNDARIES! N=1? P=1? Something about 0? 3. Do not make STUPID MISTAKES! Time complexity? Memory usage? Precision error? */
#include <bits/stdc++.h> using namespace std; typedef long long ll; int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin>>s; ll n = s.size(); vector<ll> h; h.push_back(0); //h stores cumulative sum assuming 0s and ?s are -1 for(auto c:s) h.push_back(h.back() + (c=='1'?1:-1)); vector<ll> z = h; for(ll i=n-1;i>=0;i--) z[i] = max(z[i],z[i+1]); ll mx = -1; for(ll i=0;i<=n;i++) mx = max(mx,h[i]); ll ans = INT64_MAX; for(ll random_variable=0;random_variable<2;random_variable++){ ll cur = 0,mn = 0; for(ll i=0;i<n;i++){ if(s[i] == '?'){ if(cur + z[i+1] - h[i] +2 <=mx) cur++; else cur--; } else if(s[i] == '0') cur--; else cur++; mn = min(mn,cur); } ans = min(ans,mx-mn); mx++; } cout<<ans<<endl; return 0; }
# include <bits/stdc++.h> using namespace std; namespace Base{ # define mr make_pair typedef long long ll; typedef double db; const int inf = 0x3f3f3f3f, INF = 0x7fffffff; const ll infll = 0x3f3f3f3f3f3f3f3fll, INFll = 0x7fffffffffffffffll; template<typename T> void read(T &x){ x = 0; int fh = 1; double num = 1.0; char ch = getchar(); while (!isdigit(ch)){ if (ch == '-') fh = -1; ch = getchar(); } while (isdigit(ch)){ x = x * 10 + ch - '0'; ch = getchar(); } if (ch == '.'){ ch = getchar(); while (isdigit(ch)){num /= 10; x = x + num * (ch - '0'); ch = getchar();} } x = x * fh; } template<typename T> void chmax(T &x, T y){x = x < y ? y : x;} template<typename T> void chmin(T &x, T y){x = x > y ? y : x;} } using namespace Base; const int N = 1000100; char s[N]; int n; int bak[N]; int main(){ scanf("\n%s", s + 1); n = strlen(s + 1); int mx = 0, pre = 0, mn, lim, ans; for (int i = 1; i <= n; i++){ if (s[i] == '1') pre++; else pre--; mx = max(pre, mx); } for (int i = n; i >= 1; i--){ if (s[i] == '1') bak[i] = 1 + bak[i + 1]; else bak[i] = -1 + bak[i + 1]; bak[i] = max(bak[i], 0); } lim = mx, pre = 0, mn = 0; for (int i = 1; i <= n; i++){ if (s[i] == '1') pre++; if (s[i] == '0') pre--; if (s[i] == '?'){ if (pre + 1 + bak[i + 1] <= lim) pre++; else pre--; } mn = min(mn, pre); } ans = lim - mn; lim = mx + 1, pre = 0, mn = 0; for (int i = 1; i <= n; i++){ if (s[i] == '1') pre++; if (s[i] == '0') pre--; if (s[i] == '?'){ if (pre + 1 + bak[i + 1] <= lim) pre++; else pre--; } mn = min(mn, pre); } ans = min(ans, lim - mn); cout << ans << endl; return 0; }
#include<iostream> #include<algorithm> #include<cstdlib> template<typename T> void fin(T const& t){ std::cout << t << std::endl; exit(0); } char buf[1000010]; int main() { std::cin.tie(0); std::ios::sync_with_stdio(false); std::cin >> buf; int a0 = 0, a1 = 1, b0 = 0, b1 = -1; int c0 = a0-b0, c1 = a0-b1, c2 = a1-b0, c3 = a1-b1; for(char *p = buf; *p; p++) { if(*p=='0') { --a0; --a1; --b0; --b1; } else if(*p=='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<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) { if(b<a)return false; 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<<maxval<<endl; else cout<<maxval+1<<endl; }
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #include <bits/stdc++.h> using namespace std; template<class t> inline t read(t &x){ char c=getchar();bool f=0;x=0; while(!isdigit(c)) f|=c=='-',c=getchar(); while(isdigit(c)) x=(x<<1)+(x<<3)+(c^48),c=getchar(); if(f) x=-x;return x; } template<class t,class ...A> inline void read(t &x,A &...a){ read(x);read(a...); } template<class t> inline void write(t x){ if(x<0) putchar('-'),write(-x); else{if(x>9) write(x/10);putchar('0'+x%10);} } const int N=1e6+5; int sum[N],suf[N],n; char s[N]; int calc(int mi){ int ma=0,tot=0; for(int i=1;i<=n;i++){ if(s[i]=='?'&&suf[i]-tot-2>=mi) tot+=2; ma=max(ma,sum[i]-tot); } return ma-mi; } signed main(){ scanf("%s",s+1); n=strlen(s+1); for(int i=1;i<=n;i++) sum[i]=sum[i-1]+(s[i]!='0')-(s[i]=='0'); suf[n]=sum[n]; for(int i=n-1;~i;i--) suf[i]=min(suf[i+1],sum[i]); write(min(calc(suf[0]-1),calc(suf[0]))); }
#include<bits/stdc++.h> using namespace std; #define ll long long const int N = 1000005; int n, a[N], f[N<<2], g[N<<2], h[N<<2]; char s[N]; set<int> c, d; void build(int l, int r, int t){ if(l==r) return (void)(f[t]=g[t]=a[l]); int mid=(l+r)>>1, k=t<<1; build(l, mid, k), build(mid+1, r, k|1); f[t]=max(f[k], f[k|1]), g[t]=min(g[k], g[k|1]), h[t]=0; } int find(int l, int r, int t, int x){ if(l==r) return l; int mid=(l+r)>>1, k=t<<1; if(h[t]) f[k]+=h[t], g[k]+=h[t], f[k|1]+=h[t], g[k|1]+=h[t], h[t]=0; if(f[k]>x) return find(l, mid, k, x); else return find(mid+1, r, k|1, x); } void change(int l, int r, int t, int L){ if(L<=l) return (void)(f[t]-=2, g[t]-=2, h[t]-=2); int mid=(l+r)>>1, k=t<<1; if(h[t]) f[k]+=h[t], g[k]+=h[t], f[k|1]+=h[t], g[k|1]+=h[t], h[t]=0; if(L<=mid) change(l, mid, k, L); change(mid+1, r, k|1, L); f[t]=max(f[k], f[k|1]), g[t]=min(g[k], g[k|1]); } int main() { scanf("%s", s+1), n=strlen(s+1); for(int i=1; i<=n; ++i){ a[i]=a[i-1]+(s[i]=='0'?-1:1); if(s[i]=='?') c.insert(i); } d=c; int ans=n; build(0, n, 1); for(int i=n;; i-=2){ if(f[1]>i){ int x=find(0, n, 1, i); auto it=c.upper_bound(x); if(it==c.begin()) break; change(0, n, 1, *--it); c.erase(it); } ans=min(ans, f[1]-g[1]); } build(0, n, 1); for(int i=n+1;; i-=2){ if(f[1]>i){ int x=find(0, n, 1, i); auto it=d.upper_bound(x); if(it==d.begin()) break; change(0, n, 1, *--it); d.erase(it); } ans=min(ans, f[1]-g[1]); } printf("%d\n", ans); return 0; }
#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 da[4], db[4]; da[0] = db[0] = da[3] = -1; da[1] = db[1] = db[3] = 1; 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) { a0 += da[c&3]; if(a0 < 0) a0 += 2; a1 += da[c&3]; if(a1 < 0) a1 += 2; b0 += db[c&3]; if(b0 > 0) b0 -= 2; b1 += db[c&3]; 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<cstdio> #include<algorithm> char buf[1000010]; int main() { scanf("%s", buf); int a0 = 0, a1 = 1, b0 = 0, b1 = -1; int c0 = a0-b0, c1 = a0-b1, c2 = a1-b0, c3 = a1-b1; for(char *p = buf; *p; p++) { if(*p=='0') { --a0; --a1; --b0; --b1; } else if(*p=='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; if(c0 < a0-b0) c0 = a0-b0; if(c1 < a0-b1) c1 = a0-b1; if(c2 < a1-b0) c2 = a1-b0; if(c3 < a1-b1) c3 = a1-b1; } if(c0 > c1) c0 = c1; if(c2 > c3) c2 = c3; if(c0 > c2) c0 = c2; printf("%d\n", c0); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long i64; const int MAX = 1e6 + 10; const int MOD = 1e9 + 7; const int oo = 1e9; int main(){ ios::sync_with_stdio(false); cin.tie(0); #define endl '\n' string s; cin >> s; int n = s.size(); int b = 1, e = n; while(b < e){ int m = (b + e) / 2; bool pos = true; int rd = 0, ru = m; int phase = 1; for(int i = 0; i < n; i++){ if(s[i] == '0'){ rd--; ru--; } else if(s[i] == '1'){ rd++, ru++; } else{ rd--; ru++; } if(rd < 0)rd += phase; if(ru > m) ru -= phase; if(ru < rd){ pos = false; break; } if(ru == rd && phase == 1)phase = 2; } if(pos) e = m; else b = m + 1; } cout << b << endl; }
#include<bits/stdc++.h> using namespace std; const int N=1e6+10; int gi() { int x=0,o=1;char ch=getchar(); while(!isdigit(ch)&&ch!='-') ch=getchar(); if(ch=='-') o=-1,ch=getchar(); while(isdigit(ch)) x=x*10+ch-'0',ch=getchar(); return x*o; } int n,mid; char s[N]; struct dat { int l,r; dat() {} dat(int _l,int _r) { l=_l;r=_r; if(l<0) l+=2; if(r>mid) r-=2; } bool empty() { return l>r; } } I[2],new_I[2]; bool check() { I[0]=dat(0,mid-(mid&1)); I[1]=dat(1,mid-(mid&1^1)); //cerr<<I[1].l<<' '<<I[1].r<<'\n'; for(int i=1;i<=n;i++) { if(s[i]=='1') { new_I[0]=dat(I[1].l+1,I[1].r+1); new_I[1]=dat(I[0].l+1,I[0].r+1); } else if(s[i]=='0') { new_I[0]=dat(I[1].l-1,I[1].r-1); new_I[1]=dat(I[0].l-1,I[0].r-1); } else { new_I[0]=dat(I[1].l-1,I[1].r+1); new_I[1]=dat(I[0].l-1,I[0].r+1); } if(I[0].empty()) new_I[1]=dat(1,0); if(I[1].empty()) new_I[0]=dat(1,0); I[0]=new_I[0];I[1]=new_I[1]; //cerr<<I[0].l<<' '<<I[0].r<<' '<<I[1].l<<' '<<I[1].r<<'\n'; if(I[0].empty()&&I[1].empty()) return 0; } return 1; } int main() { scanf("%s",s+1);n=strlen(s+1); //mid=0;check();return 0; int l=0,r=n; while(l<r) { mid=(l+r)>>1; if(check()) r=mid; else l=mid+1; } cout<<l; return 0; }
#include<bits/stdc++.h> using namespace std; typedef long long lint; typedef long double louble; #define so(a) ((int)((a).size())) template<typename T1,typename T2> inline T1 max(T1 a,T2 b){return a<b?b:a;} template<typename T1,typename T2> inline T1 min(T1 a,T2 b){return a<b?a:b;} const char lf = '\n'; namespace ae86 { const int bufl = 1 << 15; char buf[bufl],*s=buf,*t=buf; inline int fetch() { if(s==t){t=(s=buf)+fread(buf,1,bufl,stdin);if(s==t)return EOF;} return *s++; } inline int ty() { int a=0;int b=1,c=fetch(); while(!isdigit(c))b^=c=='-',c=fetch(); while(isdigit(c))a=a*10+c-48,c=fetch(); return b?a:-a; } template<typename T> inline int ts(T *s) { int a=0,c=fetch(); while(c<=32 && c!=EOF)c=fetch(); while(c>32 && c!=EOF)s[a++]=c,c=fetch(); s[a]=0; return a; } } using ae86::ty; using ae86::ts; const int _ = 1000007; int n,val[_],sval[_]={0},smx[_]={0}; int make(int lim) { int now=0,mi=0; for(int i=1;i<=n;i++) { if(val[i]==0)now+=(now+2+(smx[i]-sval[i-1])<=lim)?1:-1; else now+=val[i]; mi=min(mi,now); } return lim-mi; } int main() { ios_base::sync_with_stdio(0),cout.tie(nullptr); n=ts(val+1); for(int i=1;i<=n;i++) { if(val[i]=='1')val[i]=1; else if(val[i]=='0')val[i]=-1; else val[i]=0; sval[i]=sval[i-1]+(val[i]==1?1:-1); } smx[n]=sval[n]; for(int i=n-1;i>=1;i--)smx[i]=max(smx[i+1],sval[i]); int mxval=0; for(int i=1;i<=n;i++)mxval=max(mxval,sval[i]); cout<<min(make(mxval),make(mxval+1))<<lf; return 0; }
#include<cstdio> #include<cstring> #include<algorithm> using namespace std; char s[1000010]; int n,sufmx[1000010]; int work(int mx) { int add=0,mi=0,cur=0; for(int i=1;i<=n;++i) { if(s[i]=='?'&&add+sufmx[i]+2<=mx)++cur,add+=2; else cur+=s[i]=='1'?1:-1; mi=min(mi,cur); } return mx-mi; } int main() { scanf("%s",s+1); n=strlen(s+1); int cur=0; for(int i=1;i<=n;++i) { cur+=s[i]=='1'?1:-1; sufmx[i]=cur; } for(int i=n-1;i>=0;--i)sufmx[i]=max(sufmx[i+1],sufmx[i]); printf("%d",min(work(sufmx[0]),work(sufmx[0]+1))); return 0; }
#include <bits/stdc++.h> using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- string S; int N; int Rcur[1010101]; int Rma[1010101]; void solve() { int i,j,k,l,r,x,y; string s; cin>>S; N=S.size(); int cur=0,Z=0; FORR(c,S) { if(c=='1') cur++; else cur--; Z=max(cur,Z); } for(i=N-1;i>=0;i--) { if(S[i]=='1') { Rcur[i]=Rcur[i+1]-1; } else { Rcur[i]=Rcur[i+1]+1; } Rma[i]=max(Rcur[i],Rma[i+1]); } int mi=0; cur=0; FOR(i,N) { //cout<<i<<" "<<cur<<" "<<Rma[i+1]<<" "<<Z<<" "<<(cur+1+Rma[i+1]>Z)<<" "<<S[i]<<endl; if(S[i]=='1') cur++; else if(S[i]=='0') cur--; else { if(cur+1+(Rma[i+1]-Rcur[i+1])>Z) { cur--; } else { cur++; } } mi=min(mi,cur); } int ret=Z-mi; cur=mi=0; FOR(i,N) { //cout<<i<<" "<<cur<<" "<<Rma[i+1]<<" "<<Z<<" "<<(cur+1+Rma[i+1]>Z)<<" "<<S[i]<<endl; if(S[i]=='1') cur++; else if(S[i]=='0') cur--; else { if(cur+1+(Rma[i+1]-Rcur[i+1])>Z+1) { cur--; } else { cur++; } } mi=min(mi,cur); } ret=min(ret,Z+1-mi); cout<<ret<<endl; } int main(int argc,char** argv){ string s;int i; if(argc==1) ios::sync_with_stdio(false), cin.tie(0); FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin); cout.tie(0); solve(); return 0; }
#include<bits/stdc++.h> using namespace std; char s[1111111]; int n,mx,pre[1111111],suf[1111111]; int f(int x) { int num=0,mn=0; for (int i=1;i<=n;i++) { if (s[i-1]=='?') { if (suf[i]+(num+1)*2<=x) num++; } mn=min(mn,num*2+pre[i]); } return mn; } int main() { scanf("%s",s); n=strlen(s);mx=0; for (int i=1;i<=n;i++) { if (s[i-1]=='?' || s[i-1]=='0') pre[i]=pre[i-1]-1; else pre[i]=pre[i-1]+1; mx=max(mx,pre[i]); } suf[n+1]=-1e9; for (int i=n;i>=1;i--) suf[i]=max(suf[i+1],pre[i]); printf("%d\n",min(mx-f(mx),mx+1-f(mx+1))); return 0; }
#include <bits/stdc++.h> namespace IO { char gc() { #ifdef FREAD static char buf[1<<21], *P1 = buf, *P2 = buf; if(P1 == P2) { P1 = buf; P2 = buf + fread(buf, 1, 1<<21, stdin); if(P1 == P2) return EOF; } return *(P1++); #else return getchar(); #endif } template<typename Tp> bool get1(Tp &x) { bool neg = 0; char c = gc(); while( c != EOF && (c < '0' || c > '9') && c != '-' ) c = gc(); if(c == '-') c = gc(), neg = 1; if(c == EOF) return false; x = 0; for(; c>='0' && c<='9'; c = gc()) x = x*10 + c - '0'; if(neg) x = -x; return true; } template<typename Tp> void printendl(Tp x) { if(x<0)putchar('-'),x=-x; static short a[40], sz; sz = 0; while(x>0)a[sz++]=x%10,x/=10; if(sz==0)putchar('0'); for(int i=sz-1; i>=0; i--)putchar('0'+a[i]); puts(""); } } // namespace IO using IO::get1; using IO::printendl; #define get2(x,y) get1(x) && get1(y) #define get3(x,y,z) get2(x,y) && get1(z) #define get4(x,y,z,w) get3(x,y,z) && get1(w) #define pb push_back #define mp std::make_pair #define ff first #define ss second typedef long long LL; typedef unsigned long long uLL; typedef std::pair<int,int> pii; const int inf = 0x3f3f3f3f; const LL Linf = 1ll<<61; const int maxn = 1000111; char s[maxn]; int n, suf[maxn]; int check(int x) { if(x < 0 || suf[1] > x) return inf; int sum = 0, mn = 0; for(int i=1; i<=n; i++) { if(s[i] == '0') sum++; else if(s[i] == '1') sum--; else if(sum + suf[i+1] >= x) sum--; else sum++; if(sum > x) return inf; mn = std::min(mn, sum); } return x - mn; } int main() { scanf("%s", s+1); n = strlen(s + 1); int sum = 0, mx = 0; for(int i=1; i<=n; i++) { if(s[i] == '0') sum++; else sum--; mx = std::max(mx, sum); } for(int i=n; i>=1; i--) suf[i] = std::max(0, suf[i+1] + (s[i] == '0') - (s[i] != '0')); printf("%d\n", std::min(check(mx), check(mx+1))); return 0; }
#include <iostream> #include <string> #include <algorithm> #include <cmath> #include <functional> #include <vector> #include <queue> #include <deque> #include <map> #include <set> #include <cassert> #define InfL 2000000000 #define InfLL 4000000000000000000LL #define mod 1000000007 #define rep(i,n) for(int i=0;i<n;i++) #define rrep(i,n) for(int i=(n-1);i>=0;i--) using namespace std; typedef long long ll; typedef double db; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<ll> vl; typedef vector<bool> vb; typedef vector<db> vd; int main() { string S; cin >> S; int N = S.length(); vi Ssum(N + 1, 0); rep(i, N) { Ssum[i + 1] = Ssum[i]; if (S[i] == '1') Ssum[i + 1]++; else Ssum[i + 1]--; } vi Ssummax(N + 1); Ssummax[N] = Ssum[N]; rrep(i, N) Ssummax[i] = max(Ssummax[i + 1], Ssum[i]); int Ssummax_all = Ssummax[0]; int ans = InfL; for (int Ssummax_all_new = Ssummax_all; Ssummax_all_new <= Ssummax_all + 1; Ssummax_all_new++) { int Ssummin_all_new = Ssum[0]; int plus1_count = 0; rep(i, N) { int Ssumtmp = Ssum[i + 1] + plus1_count * 2; if (S[i] == '?') { if (Ssummax[i + 1] + 2 + plus1_count * 2 <= Ssummax_all_new) { // -1 -> +1 plus1_count++; Ssumtmp += 2; } } Ssummin_all_new = min(Ssummin_all_new, Ssumtmp); } int anstmp = Ssummax_all_new - Ssummin_all_new; ans = min(ans, anstmp); } cout << ans << endl; return 0; }
#include <iostream> #include <sstream> #include <algorithm> #include <cstdio> #include <cmath> #include <set> #include <map> #include <queue> #include <string> #include <cstring> #include <bitset> #include <functional> #include <random> #define REP(_i,_a,_n) for(int _i=_a;_i<=_n;++_i) #define PER(_i,_a,_n) for(int _i=_n;_i>=_a;--_i) #define hr putchar(10) #define pb push_back #define lc (o<<1) #define rc (lc|1) #define mid ((l+r)>>1) #define ls lc,l,mid #define rs rc,mid+1,r #define x first #define y second #define io std::ios::sync_with_stdio(false) #define endl '\n' #define DB(_a) ({REP(_i,1,n) cout<<_a[_i]<<',';hr;}) using namespace std; typedef long long ll; typedef pair<int,int> pii; const int P = 1e9+7, INF = 0x3f3f3f3f; ll gcd(ll a,ll b) {return b?gcd(b,a%b):a;} ll qpow(ll a,ll n) {ll r=1%P;for (a%=P;n;a=a*a%P,n>>=1)if(n&1)r=r*a%P;return r;} ll inv(ll x){return x<=1?1:inv(P%x)*(P-P/x)%P;} inline int rd() {int x=0;char p=getchar();while(p<'0'||p>'9')p=getchar();while(p>='0'&&p<='9')x=x*10+p-'0',p=getchar();return x;} //head #ifdef __APPLE__ const int N = 1e2+50; #else const int N = 1e6+50; #endif char s[N]; int n; int chk(int x) { REP(k,0,1) { int a=k, b=x; if (a%2!=b%2) --b; REP(i,1,n) { if (s[i]=='0') --a,--b; else if (s[i]=='1') ++a,++b; else --a,++b; if (a<0) a+=2; if (b>x) b-=2; if (b<a) break; if (i==n) return 1; } } return 0; } int main() { scanf("%s", s+1); n = strlen(s+1); int l = 0, r = n; while (r-l>1) { if (chk(mid)) r=mid; else l=mid; } printf("%d\n", r); }
#include<bits/stdc++.h> using namespace std; #define ll long long #define ui long long #define ull unsigned long long #define db double #define pii pair<int,int> #define pli pair<ll,int> #define X first #define Y second #define mp make_pair #define pb push_back #define vi vector<int> #define vii vector<vi> #define lb lower_bound #define rep(i,a,b) for(int i=(a);i<=(b);++i) #define per(i,b,a) for(int i=(b);i>=(a);--i) #define rep0(i,a,b) for(int i=(a);i<(b);++i) #define fore(i,a) for(int i=0;i<a.size();++i) #define gc() getchar() #define ls x<<1,l,m #define rs x<<1|1,m+1,r inline ll rd() { ll x=0,w=1;char c=gc();while(!isdigit(c)&&c!='-')c=gc(); if(c=='-')c=gc(),w=-1;while(isdigit(c))x=x*10+c-48,c=gc();return x*w; } const int N=1000005; int n,ans=N,p[N],a[N];char s[N]; void chk(int mn) { int c=0,mx=0; rep(i,1,n) { if(s[i]=='0')c++;else if(s[i]=='1')c--; else if(c-1+p[i+1]>=mn)c--;else c++; mx=max(mx,c);if(c<mn){mx=1e9;break;} } ans=min(ans,mx-mn); } int main() { scanf("%s",s+1);n=strlen(s+1); per(i,n,1)p[i]=min(0,p[i+1]+(s[i]=='1'?-1:1)); int c=0,mn=0; rep(i,1,n) { if(s[i]=='0')c++;else if(s[i]=='1')c--;else c++; mn=min(mn,c); } chk(mn);chk(mn-1); printf("%d\n",ans);return 0; }
#include <bits/stdc++.h> #define pb push_back #define F first #define S second #define all(x) x.begin(), x.end() #define debug(x) cerr << #x << " : " << x << '\n' using namespace std; typedef long long ll; typedef long double ld; typedef string str; typedef pair<ll, ll> pll; const ll Mod = 1000000007LL; const int N = 2e5 + 10; const ll Inf = 2242545357980376863LL; const ll Log = 30; int main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); str s; cin >> s; int n = s.size(); int L = 0, R = n + 3; int mid; int lz, rz, lf, rf; while(L + 1 < R){ mid = (L + R) >> 1; lz = 0, rz = mid - (mid & 1); lf = 1, rf = mid - (1 - (mid & 1)); bool flz = true, flf = true; for(auto &c : s){ if(c == '0'){ lz --; rz--; lf --; rf--; } if(c == '1'){ lz ++; rz ++; lf ++; rf++; } if(c == '?'){ lz --; rz ++; lf --; rf ++; } swap(lz, lf); swap(rz, rf); swap(flz, flf); lz = max(lz, 0); lf = max(lf, 1); rz = min(rz, mid - (mid & 1)); rf = min(rf, mid - (1 - (mid & 1))); if(lz > rz) flz = false; if(lf > rf) flf = false; } if(flz || flf) R = mid; else L = mid; } cout << R << '\n'; 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)); ans=min(ans,solve(a[1]+3)); ans=min(ans,solve(a[1]+4)); printf("%d\n",ans); }
#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]; void solvep(string s) {//stuff with + p[0] = 0; int gm = 0; //cout << s << '\n'; for(int i = 1; i <= n; i++) { p[i] = p[i-1] + (s[i] == '1' ? -1 : 1); gm = min(gm, p[i]); // cout << p[i] << " "; } // cout << '\n'; sm[n] = p[n]; for(int i = n-1; i >= 0;i--) sm[i] = min(p[i], sm[i+1]); //for(int i = 0; i <= n; i++) cout << sm[i] << " "; //for(int i = 0; i <= n; i++) cout << p[i] << ' '; cout << '\n'; int r = 0; for(int i = 0; i <= n; i++) { sm[i] += r; p[i] += r; //cout << i << " " << sm[i] << " " << sm[i]-2 << " " << gm << '\n'; if(s[i] == '?' && sm[i] - 2 >= gm) { r-=2; //cout <<"at " << i << '\n'; sm[i] -= 2; p[i] -= 2; s[i] = '1'; } tt[i] = r; if(s[i] == '?') s[i] = '0'; //cout << p[i] << "\n"; } //for(int i = 0; i <= n; i++) cout << p[i] << ' '; cout << '\n'; //cout << s << '\n'; int x = 0, y = 0; r = 0; for(auto i : s) { if(i == '1') r--; else if(i != '.') r++; x = min(x, r); y = max(y, r); } ans = min(ans, y-x); } int main() { cin.tie(0)->sync_with_stdio(0); cin >> s; n = s.size(); s = "." + s; for(int i = 0; i < 2; i++) { memset(p, 0, sizeof p); memset(sm, 0, sizeof sm); solvep(s); memset(p, 0, sizeof p); memset(sm, 0, sizeof sm); for(auto &i : s) if(i != '?' && i != '.') i ^='0'^'1'; solvep(s); reverse(s.begin(), s.end()); s.pop_back(); s = "." + s; } cout << ans; }
#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() + 1]; for (int i = s.size(), j = numeric_limits<int>::max(); i > 0; --i) { j = min(j, maxPrefix - prefix[i]); capacity[i] = j / 2; } int sum = 0, result = 0, tempMinPrefix = 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 + 1] > 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> const int MAX_N = int(1e6) + 10; int n, ans, sum[MAX_N], suf[MAX_N], b[MAX_N]; char s[MAX_N]; void solve(int low) { for (int i = 0; i <= n; ++i) b[i] = sum[i]; int del = 0; for (int i = 1; i <= n; ++i) { if (s[i] == '?' && suf[i] - del - 2 >= low) del += 2; b[i] -= del; } int m = 0; for (int i = 1; i <= n; ++i) m = std::max(m, b[i]); ans = std::min(ans, m - low); } int main() { scanf("%s", s + 1); n = strlen(s + 1); for (int i = 1; i <= n; ++i) sum[i] = sum[i - 1] + (s[i] == '0' ? -1 : 1); suf[n + 1] = ans = n + 1; for (int i = n; i >= 0; --i) suf[i] = std::min(suf[i + 1], sum[i]); solve(suf[0]); solve(suf[0] - 1); printf("%d\n", ans); }
#include<iostream> #include<cstring> #include<cstdio> #include<algorithm> using namespace std; const int inf=2147483547; int n; #define Maxn 1000010 char S[Maxn]; int sum[Maxn],at[Maxn],cnt=0; int le[Maxn],ri[Maxn]; inline int D(int x){ if(x>0)return x; return -x; } inline bool Judge(int mid){ le[0]=0;ri[0]=mid; for(int i=1;i<=cnt;++i){ le[i]=-inf;ri[i]=inf; } for(int i=0;i<=n;++i){ le[at[i]]=max(le[at[i]],-sum[i]); ri[at[i]]=min(ri[at[i]],mid-sum[i]); } if(le[0]>ri[0])return false; int l,r,ty; if(le[0]==ri[0]){ l=r=le[0]; ty=(D(le[0])%2); }else{ l=le[0];r=ri[0]; ty=2; } for(int i=1;i<=cnt;++i){ if(ty==2){ l--;r++; l=max(l,le[i]);r=min(r,ri[i]); if(l>r)return false; if(l==r){ ty=(D(l)%2); continue; } continue; } l--;r++; l=max(l,le[i]);r=min(r,ri[i]); if(l>r)return false; int g=(D(l)%2); ty^=1; if(l+(g^ty)>r)return false; } return true; } int main(){ scanf("%s",S+1);n=strlen(S+1); cnt=0; for(int i=1;i<=n;++i){ sum[i]+=sum[i-1]; if(S[i]=='1') sum[i]++; if(S[i]=='0') sum[i]--; if(S[i]=='?')cnt++; at[i]=cnt; } int l=0,r=n; while(l<r){ int mid=(l+r)>>1; if(Judge(mid))r=mid; else l=mid+1; } printf("%d\n",l); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double db; typedef pair<int,int> pii; #define fir first #define sec second #define rep(i,a,b) for (int i = (a) ; i <= (b) ; ++ i) #define rrp(i,a,b) for (int i = (a) ; i >= (b) ; -- i) #define gc() getchar() template <typename tp> inline void read(tp& x) { x = 0; char tmp; bool key = 0; for (tmp = gc() ; !isdigit(tmp) ; tmp = gc()) key = (tmp == '-'); for ( ; isdigit(tmp) ; tmp = gc()) x = (x << 3) + (x << 1) + (tmp ^ '0'); if (key) x = -x; } template <typename tp> inline void ckmn(tp& x,tp y) { x = x < y ? x : y; } template <typename tp> inline void ckmx(tp& x,tp y) { x = x < y ? y : x; } const int N = 1000010; char str[N]; int n, val[N], mxp, mx[N]; int doit(int lim) { int cur = 0, mn = n; rep (i, 0, mxp) mn = min(mn, val[i]); rep (i, mxp + 1, n) { if (str[i] == '?') { if (mx[i] + 2 * (cur + 1) <= lim) { ++ cur; } } mn = min(mn, val[i] + 2 * cur); } return lim - mn; } int main() { scanf("%s", str + 1); n = strlen(str + 1); rep (i, 1, n) { val[i] = val[i-1]; if (str[i] == '0' || str[i] == '?') -- val[i]; else ++ val[i]; } mxp = 0; rep (i, 1, n) if (val[i] > val[mxp]) mxp = i; rrp (i, n, 1) { mx[i] = val[i]; if (i < n) mx[i] = max(mx[i], mx[i+1]); } int ans = min(doit(val[mxp]), doit(val[mxp] + 1)); printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define ll long long #define f(i, x, n) for (int i = x; i < (int)(n); ++i) int const N = 1000000; int n; char s[N + 1]; bool ok(int m){ int l[2] = { 0, 1 }, r[2] = { m, m }; --r[m & 1 ^ 1]; f(i, 0, n)f(j, 0, 2){ if (s[i] == '?')--l[j], ++r[j]; else if (s[i] == '0')--l[j], --r[j]; else ++l[j], ++r[j]; if (l[j] < 0)l[j] += 2; if (r[j] > m)r[j] -= 2; if (l[j] > m || r[j] < 0)r[j] = 1e9; } return r[0] <= m || r[1] <= m; } int main(){ scanf("%s", s); n = strlen(s); int l = 1, r = n; while (r > l){ int m = l + r >> 1; if (ok(m))r = m; else l = m + 1; } printf("%d\n", l); }
#include<bits/stdc++.h> #define debug(x) cerr<<#x<<" = "<<x #define sp <<" " #define el <<endl #define fgx cerr<<" ---------------------------------------------- "<<endl #define LL long long #define uint unsigned int #define ULL unsigned long long #define LDB long double #define DB double #define pii pair<int,int> #define pli pair<LL,int> #define mp make_pair #define pb push_back using namespace std; inline LL read(){ LL nm=0; bool fh=true; char cw=getchar(); for(;!isdigit(cw);cw=getchar()) fh^=(cw=='-'); for(;isdigit(cw);cw=getchar()) nm=nm*10+(cw-'0'); return fh?nm:-nm; } #define mod 1000000007 namespace CALC{ inline int add(int x,int y){return (x+y>=mod)?(x+y-mod):(x+y);} inline int mns(int x,int y){return (x-y<0)?(x-y+mod):(x-y);} inline int mul(LL x,LL y){return x*y%mod;} inline void upd(int &x,int y){x=(x+y>=mod)?(x+y-mod):(x+y);} inline void dec(int &x,int y){x=(x-y<0)?(x-y+mod):(x-y);} inline int qpow(int x,int sq){int res=1;for(;sq;sq>>=1,x=mul(x,x))if(sq&1)res=mul(res,x);return res;} }using namespace CALC; #define M 3200000 int n,m,pre[M],mx,suf[M],t[M],ans; char ch[M]; int main(){ //freopen(".in","r",stdin); //freopen(".out","w",stdout); scanf("%s",ch+1),n=strlen(ch+1),suf[n+1]=n+n+1,mx=0; for(int i=1;i<=n;i++) mx=max(mx,pre[i]=pre[i-1]+((ch[i]=='1')?1:-1)); for(int i=n;i>0;i--) suf[i]=min(suf[i+1],mx-pre[i]); int dn=0; for(int i=1,now=0,pr=0;i<=n;i++){ if(ch[i]!='?') t[i]=((ch[i]-'0')<<1)-1; else if(now+2<=suf[i]) now+=2,t[i]=1; else t[i]=-1; pr+=t[i],dn=min(dn,pr); } ans=mx-dn; mx++,dn=0; for(int i=n;i>0;i--) suf[i]=min(suf[i+1],mx-pre[i]); for(int i=1,now=0,pr=0;i<=n;i++){ if(ch[i]!='?') t[i]=((ch[i]-'0')<<1)-1; else if(now+2<=suf[i]) now+=2,t[i]=1; else t[i]=-1; pr+=t[i],dn=min(dn,pr); } ans=min(ans,mx-dn); printf("%d\n",ans); return 0; }
#include <bits/stdc++.h> #define clr(x) memset(x,0,sizeof (x)) #define For(i,a,b) for (int i=(a);i<=(b);i++) #define Fod(i,b,a) for (int i=(b);i>=(a);i--) #define fi first #define se second #define kill _z_kill #define pb(x) push_back(x) #define mp(x,y) make_pair(x,y) #define outval(x) cerr<<#x" = "<<x<<endl #define outv(x) cerr<<#x" = "<<x<<" " #define outtag(x) cerr<<"--------------"#x"---------------"<<endl #define outarr(a,L,R) cerr<<#a"["<<L<<".."<<R<<"] = ";\ For(_x,L,R) cerr<<a[_x]<<" ";cerr<<endl; #define User_Time ((double)clock()/CLOCKS_PER_SEC) using namespace std; typedef long long LL; typedef unsigned long long ULL; typedef unsigned uint; typedef long double LD; typedef vector <int> vi; typedef pair <int,int> pii; LL read(){ LL x=0,f=0; char ch=getchar(); while (!isdigit(ch)) f=ch=='-',ch=getchar(); while (isdigit(ch)) x=(x<<1)+(x<<3)+(ch^48),ch=getchar(); return f?-x:x; } const int mod=1e9+7; int Pow(int x,int y){ int ans=1; for (;y;y>>=1,x=(LL)x*x%mod) if (y&1) ans=(LL)ans*x%mod; return ans; } void Add(int &x,int y){ if ((x+=y)>=mod) x-=mod; } void Del(int &x,int y){ if ((x-=y)<0) x+=mod; } int Add(int x){ return x>=mod?x-mod:x; } int Del(int x){ return x<0?x+mod:x; } void ckmax(int &x,int y){ if (x<y) x=y; } void ckmin(int &x,int y){ if (x>y) x=y; } const int N=1000005*4; int n; char s[N]; int pre[N],suf[N]; int gao(int dan4){ int mi=0,val=0; For(i,1,n){ if (s[i]=='0') val--; else if (s[i]=='1') val++; else { if (val+1+suf[i]-pre[i]<=dan4) val++; else val--; } mi=min(mi,val); } return dan4-mi; } int main(){ scanf("%s",s+1); n=strlen(s+1); For(i,1,n) pre[i]=pre[i-1]+(s[i]=='1'?1:-1); suf[n]=pre[n]; Fod(i,n-1,0) suf[i]=max(suf[i+1],pre[i]); // outarr(pre,0,n); // outarr(suf,0,n); cout<<min(gao(suf[0]),gao(suf[0]+1))<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10; char ch[N]; int n, cnt, c[N], tmp, res = 1e9; inline void check (int mx) { int mn = 0, t = 0; for (int i = 1; i <= n; ++i) { if (ch[i] == '0') ++t; else if (ch[i] == '1') --t; else (t + 1 + c[i + 1] <= mx) ? ++t : --t; mn = min (mn, t); } res = min (res, mx - mn); } signed main() { scanf ("%s", ch + 1); n = strlen (ch + 1); for (int i = n; i >= 1; --i) c[i] = max (0, c[i + 1] + (ch[i] == '0' ? 1 : -1)); for (int i = 1; i <= n; ++i) { (ch[i] == '0') ? ++cnt : --cnt; tmp = max (tmp, cnt); } check (tmp), check (tmp + 1); return printf ("%d\n", res), 0; }
#define _USE_MATH_DEFINES #include <bits/stdc++.h> using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; const int INF = 0x3f3f3f3f; const ll LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // const int MOD = 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; int main() { string s; cin >> s; int n = s.length(), lb = 0, ub = n; while (ub - lb > 1) { int mid = (lb + ub) >> 1; bool ok = false; for (int parity : {0, 1}) { int l = parity, r = mid - (mid % 2 != parity); for (char c : s) { if (l > r) break; if (c == '0') { --l; --r; if (l < 0) l += 2; } else if (c == '1') { ++l; ++r; if (r > mid) r -= 2; } else if (c == '?') { --l; ++r; if (l < 0) l += 2; if (r > mid) r -= 2; } } ok |= l <= r; } (ok ? ub : lb) = mid; } cout << ub << '\n'; return 0; }
#include<cstdio> #include<algorithm> using namespace std; char p[1010000]; int n; bool Pos(int K){ int i; int b[2]={0,1},e[2]={K,K-1}, CK[2]={0,0}; if(K&1)swap(e[0],e[1]); // printf("%d\n",K); for(i=0;p[i];i++){ int b0=b[0],b1=b[1],e0=e[0],e1=e[1]; if(p[i]=='1'){ b[0]=b1+1; b[1]=b0+1; e[0]=e1+1; e[1]=e0+1; if(e[0]>K)e[0]-=2; if(e[1]>K)e[1]-=2; } if(p[i]=='0'){ b[0]=b1-1; b[1]=b0-1; e[0]=e1-1; e[1]=e0-1; if(b[0]<0)b[0]+=2; if(b[1]<0)b[1]+=2; } if(p[i]=='?'){ b[0]=b1-1; b[1]=b0-1; e[0]=e1+1; e[1]=e0+1; if(b[0]<0)b[0]+=2; if(b[1]<0)b[1]+=2; if(e[0]>K)e[0]-=2; if(e[1]>K)e[1]-=2; } if(b[0]>e[0])CK[0]=1; if(b[1]>e[1])CK[1]=1; if(CK[0]&&CK[1])return false; swap(CK[0],CK[1]); } return true; } int main(){ scanf("%s",p); int i; for(i=0;p[i];i++); n=i; int b=1,e=n,r=n; while(b<=e){ int mid=(b+e)>>1; if(Pos(mid)){ r=mid; e=mid-1; } else b=mid+1; } printf("%d\n",r); }
#include<cstdio> #include<algorithm> char buf[1000010]; int main() { scanf("%s", buf); int a0 = 0, a1 = 1, b0 = 0, b1 = -1; int c0 = a0-b0, c1 = a0-b1, c2 = a1-b0, c3 = a1-b1; for(char *p = buf; *p; p++) { if(*p=='0') { --a0; --a1; --b0; --b1; } else if(*p=='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); } printf("%d\n", std::min(std::min(c0, c1), std::min(c2, c3))); return 0; }
#include<bits/stdc++.h> #define y1 dmytxdy #define pb push_back #define fi first #define se second #define mp make_pair using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<int,int> pii; typedef pair<ll,ll> pll; typedef long double ld; template <typename T> bool chkmin(T &x,T y){return x>y?x=y,1:0;} template <typename T> bool chkmax(T &x,T y){return x<y?x=y,1:0;} int readint(){ int x=0,f=1; 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 n; int a[1000005]; char s[1000005]; int getans(int x){ int tag=0,ret=0,now=0; for(int i=1;i<=n;i++){ if(s[i]=='?'){ if(tag+a[i]+2<=x) tag+=2,now++; else now--; } else now+=s[i]=='1'?1:-1; chkmin(ret,now); } return ret; } 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>=0;i--) chkmax(a[i],a[i+1]); printf("%d\n",min(a[0]-getans(a[0]),a[0]+1-getans(a[0]+1))); return 0; }
#pragma GCC optimize ("O3") // #pragma GCC target ("avx") #include<stdio.h> #include<iostream> #include<vector> #include<algorithm> #include<string> #include<string.h> #ifdef LOCAL #define eprintf(...) fprintf(stderr, __VA_ARGS__) #else #define NDEBUG #define eprintf(...) do {} while (0) #endif #include<cassert> using namespace std; typedef long long LL; typedef vector<int> VI; #define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i) #define EACH(i,c) for(__typeof((c).begin()) i=(c).begin(),i##_end=(c).end();i!=i##_end;++i) template<class T> inline void amin(T &x, const T &y) { if (y<x) x=y; } template<class T> inline void amax(T &x, const T &y) { if (x<y) x=y; } template<class Iter> void rprintf(const char *fmt, Iter begin, Iter end) { for (bool sp=0; begin!=end; ++begin) { if (sp) putchar(' '); else sp = true; printf(fmt, *begin); } putchar('\n'); } int N; char S[1000011]; int H[1000011]; int ans; void solve(int height) { int cur = 0; int mi = 0; int ma = 0; REP (i, N) { if (S[i] == '0') cur--; else if (S[i] == '1') cur++; else { if (cur + 1 <= height && cur + 1 + H[i+1] <= height) { cur++; } else { cur--; } } amin(mi, cur); amax(ma, cur); } amin(ans, ma - mi); } void MAIN() { scanf("%s", S); N = strlen(S); ans = 1<<29; solve(0); REP (a, 2) { REP (b, 2) { int cur = 0; int ma = 0; for (int i=N; i--;) { if (S[i] == '1') cur--; else cur++; amax(ma, cur); H[i] = ma - cur; } int height = max(0, *max_element(H, H+N)); for (int d=-10; d<=10; d++) { if (0 <= height + d) solve(height + d); } reverse(S, S+N); } REP (i, N) if (S[i] != '?') S[i] ^= 1; } printf("%d\n", ans); } int main() { int TC = 1; // scanf("%d", &TC); REP (tc, TC) MAIN(); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin>>s; ll n = s.size(); vector<ll> cum_sum; cum_sum.push_back(0); //cum_sum stores cumulative sum assuming 0s and ?s are -1 for(auto c:s) cum_sum.push_back(cum_sum.back() + (c=='1'?1:-1)); vector<ll> max_sum_to_right = cum_sum; for(ll i=n-1;i>=0;i--) max_sum_to_right[i] = max(max_sum_to_right[i],max_sum_to_right[i+1]); ll mx = -1; for(ll i=0;i<=n;i++) mx = max(mx,cum_sum[i]); ll ans = INT64_MAX; for(ll random_variable=0;random_variable<2;random_variable++){ ll cur = 0,mn = 0; for(ll i=0;i<n;i++){ if(s[i] == '?'){ if(cur + max_sum_to_right[i+1] - cum_sum[i] +2 <=mx) cur++; else cur--; } else if(s[i] == '0') cur--; else cur++; mn = min(mn,cur); } ans = min(ans,mx-mn); mx++; } cout<<ans<<endl; return 0; }
/* * Since g++10 is released, some characters is not valid inside #if 0 :( * So, why not using clang++? :D * Date: echo -n ' ' && date +%Y.%m.%d # Just Run this (Type !!sh in Vim). * Solution: To be updated after "Accept". * Digression: * CopyRight: ▁▃▄▄▄▃▃▃▃▄▶ ▗▇▀▔ ▔▔▔▔ ▄▛ ▃▅━━■▄▂ ▟▊ ▐▘ ▀▙ ▟▜▌ ▐▖ ▋ ▐▍ ▟▘ ▜ ▝▀▇▆●▘ ▐▌ ▗▟▘ ▜▃ ▁▅▛ ▔▀▼▅▄▃▃██▅▄▄▄▅■▀▔ ▔▔▔▔▔▔ */ #include <cstdio> #include <cstring> #include <algorithm> #define debug(...) fprintf(stderr, __VA_ARGS__) typedef long long ll; const int maxn = 1000005; char s[maxn]; int pre[maxn]; int smax[maxn]; int f (int n, int lim) { int add = 0, p = 0, res = 0; for (int i = 1; i <= n; i ++) { p += (s[i] == '1' ? 1 : -1); if (s[i] == '?' and add + smax[i] + 2 <= lim) add += 2, p += 2; res = std::min(res, p); } return res; } int main () { scanf("%s", s + 1); int n = int(strlen(s + 1)); int max = 0; for (int i = 1; i <= n; i ++) { pre[i] = pre[i - 1] + (s[i] == '1' ? 1 : -1); max = std::max(max, pre[i]); } smax[n] = pre[n]; for (int i = n; i; i --) smax[i - 1] = std::max(smax[i], pre[i - 1]); printf("%d\n", std::min(max - f(n, max), max + 1 - f(n, max + 1))); }
#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) >> 1; bool flag = false; for (int base = 0; !flag && base < 2; 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 < 1) { low++; } else { low--; } if (s[i] == '0' || high > mid - 1) { high--; } else { high++; } ok = high >= low; } flag = ok; } if (flag) { right = mid; } else { left = mid + 1; } } cout << left << endl; }
#include <algorithm> #include <cmath> #include <iostream> #include <queue> #include <string> #include <utility> #include <vector> using namespace std; typedef long long ll; int main() { int n, z = 0, ans = 100000000, fz = -1000000; string s; vector<int> sum, maxi; cin >> s; n = s.size(); sum.resize(s.size() + 10); maxi.resize(sum.size()); sum[0] = 0; for (int i = 0; i < s.size(); i++) { sum[i + 1] = sum[i]; if (s[i] == '1') { sum[i + 1]++; } else { sum[i + 1]--; } z = max(z, sum[i + 1]); } maxi[n] = z; for (int i = n - 1; i >= 0; i--) { if (s[i] == '1') { maxi[i] = maxi[i + 1] - 1; } else { maxi[i] = min(z, maxi[i + 1] + 1); } } int cnt = 0; int mini = 0; for (int i = 0; i < n; i++) { if (s[i] == '1' || s[i] == '?' && maxi[i + 1] >= cnt + 1) { cnt++; } else { cnt--; } mini = min(mini, cnt); } ans = z - mini; z++; maxi[n] = z; for (int i = n - 1; i >= 0; i--) { if (s[i] == '1') { maxi[i] = maxi[i + 1] - 1; } else { maxi[i] = min(z, maxi[i + 1] + 1); } } cnt = 0; mini = 0; for (int i = 0; i < n; i++) { if (s[i] == '1' || s[i] == '?' && maxi[i + 1] >= cnt + 1) { cnt++; } else { cnt--; } mini = min(mini, cnt); } ans = min(ans, z - mini); cout << ans << endl; }
#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=-1e9, sr=1e9; 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; const int MAXN = 1e6 + 5; typedef long long ll; template <typename T> void chkmax(T &x, T y) {x = max(x, y); } template <typename T> void chkmin(T &x, T y) {x = min(x, y); } template <typename T> void read(T &x) { x = 0; int f = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -f; for (; isdigit(c); c = getchar()) x = x * 10 + c - '0'; x *= f; } char s[MAXN]; int n, a[MAXN], sMin[MAXN], sMax[MAXN]; bool b[MAXN]; void init() { for (int i = 1; i <= n; i++) { if (s[i] == '0') a[i] = a[i - 1] - 1; else a[i] = a[i - 1] + 1; if (s[i] == '?') b[i] = true; } sMin[n + 1] = n + 5; for (int i = n; i >= 0; i--) sMin[i] = min(sMin[i + 1], a[i]); } int work(int limit) { int mns = 0; for (int i = 1; i <= n; i++) { if (s[i] == '?' && sMin[i] - mns - 2 >= limit) { b[i] = false; mns += 2; } a[i] -= mns; } sMin[n + 1] = n + 5; sMax[n + 1] = -n - 5; for (int i = n; i >= 0; i--) { sMin[i] = min(sMin[i + 1], a[i]); sMax[i] = max(sMax[i + 1], a[i]); } int ans = sMax[0] - sMin[0]; int Max = 0, Min = 0, pls = 0; mns = 0; for (int i = 1; i <= n; i++) { if (b[i]) { mns += 2; int tmp = max(Max, sMax[i] - mns) - min(Min, sMin[i] - mns); if (tmp < ans) ans = tmp; } a[i] -= mns; chkmax(Max, a[i]); chkmin(Min, a[i]); } return ans; } int main() { scanf("%s", s + 1); n = strlen(s + 1); int ans = n + 5, tmp = 0; init(); chkmin(ans, work(sMin[0])); init(); chkmin(ans, work(sMin[0] - 1)); cout << ans << endl; return 0; }
#include<bits/stdc++.h> using namespace std; char s[2000010]; int sum[2000010],N,mx[2000010]; int calc(int x){ int p = 0; for (int i=1; i<=N; i++){ if (s[i] == '1') sum[i] = sum[i-1] + 1; else if (s[i] == '0') sum[i] = sum[i-1] - 1; else { if (mx[i] + 2*(p+1) <= x){ sum[i] = sum[i-1] + 1, p++; } else sum[i] = sum[i-1] - 1; } } int mn = N; for (int i=0; i<=N; i++) mn = min(mn,sum[i]); 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>=0; i--) mx[i] = max(mx[i+1],sum[i]); int m = mx[0]; printf("%d\n",min( m-calc(m), m+1-calc(m+1) )); return 0; }