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#include <bits/stdc++.h> using namespace std; long long OO = 100000; bool pred(const std::pair<std::string, int>& lhs, const std::pair<std::string, int>& rhs) { return lhs.second < rhs.second; } int main() { int n; cin >> n; map<string, int> mp; string s; cin >> s; vector<int> v; for (int i = 0; i < s.length() - 1; i++) { string x = ""; x += (s[i]); x += s[i + 1]; mp[x]++; } cout << max_element(mp.begin(), mp.end(), pred)->first; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; string s; cin >> s; vector<string> v; for (int i = 0; i < n - 1; i++) { string ss; ss += s[i]; ss += s[i + 1]; v.push_back(ss); } int sz = v.size(); map<string, int> mp; for (int i = 0; i < sz; i++) { mp[v[i]]++; } map<string, int>::iterator it = mp.begin(); string ans; int mx = 0; for (; it != mp.end(); it++) { int cnt = it->second; if (cnt > mx) { ans = it->first; mx = it->second; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; struct diagram { diagram(string str) { name = str; amount = 1; } string name; int amount; }; int main() { int max = 0; int n; cin >> n; string input; cin >> input; vector<diagram> arr; for (int i = 0; i < input.length() - 1; i++) { bool found = 0; string temp = ""; temp.push_back(input[i]); temp.push_back(input[i + 1]); for (int i = 0; i < arr.size(); i++) { if (temp == arr[i].name) { arr[i].amount += 1; found = true; break; } } if (!found) { arr.push_back(diagram(temp)); } } for (int i = 0; i < arr.size(); i++) { if (arr[i].amount > max) { max = arr[i].amount; } } for (int i = 0; i < arr.size(); i++) { if (arr[i].amount == max) { cout << arr[i].name; break; } } return 0; }
#include <bits/stdc++.h> using namespace std; int n, mx = 0; char s[111]; int ans; int main() { scanf("%d%s", &n, s + 1); for (int i = 1; i < n; i++) { int cnt = 0; for (int j = 1; j < n; j++) { if (s[j] == s[i] && s[j + 1] == s[i + 1]) cnt++; } if (cnt > mx) { mx = cnt; ans = i; } } printf("%c%c\n", s[ans], s[ans + 1]); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; string s; cin >> s; unordered_map<string, int> mp; unordered_map<string, int>::iterator it; for (int i = 0; i < n - 1; i++) { string a = s.substr(i, 2); it = mp.find(a); if (it == mp.end()) mp.insert({a, 1}); else it->second = it->second + 1; } it = mp.begin(); string ans = it->first; int q = it->second; it++; for (; it != mp.end(); it++) { if (it->second > q) { q = it->second; ans = it->first; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long n, m = -1, i, j, k, x; cin >> n; string s; char s5, s6; cin >> s; for (i = 0; i < n - 1; i++) { char s1 = s[i]; char s2 = s[i + 1]; x = 1; for (j = i + 1; j < n; j++) { if (s1 == s[j] && s2 == s[j + 1] && j + 1 < n) { x++; } } if (x > m) { m = x; s5 = s1; s6 = s2; } } cout << s5 << s6 << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int i, b[100] = {0}, c, ma, j, n; char s[105]; cin >> n; cin >> s; for (i = 0; i < n - 1; i++) b[i] = 0; for (i = 0; i < n - 1; i++) { for (j = i + 1; j < n - 1; j++) if (s[j] == s[i] && s[j + 1] == s[i + 1]) b[i] = b[i] + 1; } ma = b[0]; c = 0; for (i = 0; i < n - 1; i++) if (b[i] > ma) { c = i; ma = b[i]; } cout << s[c] << s[c + 1]; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; string s; cin >> s; map<string, int> grams; for (int i = 0; i < n - 1; i++) { string k; k.push_back(s[i]); k.push_back(s[i + 1]); if (grams.count(k) == 0) grams[k] = 1; else grams[k] += 1; } int maxi = -1; string gram = ""; for (auto e : grams) { if (e.second > maxi) { maxi = e.second; gram = e.first; } } cout << gram << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { string s; map<string, int> m; int n; cin >> n; cin >> s; map<string, int>::iterator it; for (int i = 0; i < n - 1; i++) { string temp; temp.push_back(s[i]); temp.push_back(s[i + 1]); it = m.find(temp); if (it == m.end()) { m.insert(make_pair(temp, 1)); } else (it->second)++; } int ans = -1; string q; for (it = m.begin(); it != m.end(); it++) { if (ans < it->second) { q = it->first; ans = it->second; } } cout << q << endl; }
#include <bits/stdc++.h> using namespace std; int dy4[4] = {-1, 0, +1, 0}; int dx4[4] = {0, +1, 0, -1}; int dy8[8] = {-1, -1, 0, 1, 1, 1, 0, -1}; int dx8[8] = {0, 1, 1, 1, 0, -1, -1, -1}; const long long INF = 1LL << 60; const long long MOD = 1e9 + 7; bool greaterSecond(const pair<int, int>& f, const pair<int, int>& s) { return f.second > s.second; } long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } long long conbinationMemo[100][100]; void cmemoInit() { for (int i = 0; i < (int)(100); i++) { for (int j = 0; j < (int)(100); j++) { conbinationMemo[i][j] = -1; } } } long long nCr(long long n, long long r) { if (conbinationMemo[n][r] != -1) return conbinationMemo[n][r]; if (r == 0 || r == n) { return 1; } else if (r == 1) { return n; } return conbinationMemo[n][r] = (nCr(n - 1, r) + nCr(n - 1, r - 1)); } long long nPr(long long n, long long r) { r = n - r; long long ret = 1; for (long long i = n; i >= r + 1; i--) ret *= i; return ret; } int main(void) { long long n; cin >> n; string s; cin >> s; map<string, long long> mp; for (int i = 0; i < (int)(n - 1); i++) { mp[s.substr(i, 2)]++; } string ans = ""; long long ma = 0; for (auto& i : mp) { if (ma < i.second) { ans = i.first; ma = i.second; } } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); int n; string s; cin >> n >> s; string x[n - 1]; for (int i = 0; i < n - 1; i++) x[i] = s.substr(i, 2); sort(x, x + (n - 1)); int a = 1, b = 1, c = 0; for (int i = 1; i < n - 1; i++) { if (x[i] == x[i - 1]) { a++; if (a > b) { b++; c = i; } } else { a = 1; } } cout << x[c] << endl; }
#include <bits/stdc++.h> using namespace std; map<string, int> cnt; int main() { long long n; int l, mn = 0; string s, tmp; string sq(" "); cin >> n >> s; l = s.length(); for (int i = 1; i < l; i++) { sq[0] = s[i - 1]; sq[1] = s[i]; if (sq.compare(0, 1, " ") && sq.compare(1, 1, " ")) { cnt[sq]++; } } map<string, int>::iterator it; for (it = cnt.begin(); it != cnt.end(); it++) { if (mn < it->second) { mn = it->second; tmp = it->first; } } cout << tmp << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int n, e, m = 0; cin >> n; string s; char c[2]; cin >> s; for (int i = 0; i < n; i++) { int b = 0; c[0] = s[i]; c[1] = s[i + 1]; for (int j = i; j < n - 1; j++) { if (s[j] == c[0] && s[j + 1] == c[1]) b++; } if (b > m) { e = i; m = b; } } cout << s[e] << s[e + 1]; }
#include <bits/stdc++.h> using namespace std; int n; string s; map<string, int> mp; int main() { ios::sync_with_stdio(0), cin.tie(0); cin >> n >> s; for (int i = 0; i < n - 1; ++i) { ++mp[s.substr(i, 2)]; } int mx = 0; string ans; for (auto it : mp) { if (it.second > mx) { mx = it.second; ans = it.first; } } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; string s; cin >> s; string ans = {s[0], s[1]}; int mx = 0; map<string, int> mp; for (int i = 0; i + 1 < n; ++i) mp[{s[i], s[i + 1]}]++; for (auto p : mp) if (p.second > mx) mx = p.second, ans = p.first; cout << ans; }
#include <bits/stdc++.h> using namespace std; int main() { int n, i, l, j, cnt = 0; int maxi = 0; string s, ans; cin >> n; cin >> s; l = s.length(); for (i = 1; i < l; i++) { string tmp; tmp += s[i - 1]; tmp += s[i]; cnt = 0; for (j = 1; j < l; j++) { string tmp1; tmp1 += s[j - 1]; tmp1 += s[j]; if (tmp == tmp1) cnt++; } if (maxi < cnt) { maxi = cnt; ans = tmp; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 2147380000; const long long inf = 1e18; const int maxn = 200; map<string, int> ms; int n; string ans; int Max; char s[maxn]; int main() { while (scanf("%d", &n) != EOF) { scanf(" %s", s); ms.clear(); Max = -1; for (int i = 0; i < n - 1; i++) { char S[5]; S[0] = s[i]; S[1] = s[i + 1]; S[2] = '\0'; string ss = (string)S; if (ms.count(ss)) { ms[ss]++; } else { ms[ss] = 1; } } for (int i = 0; i < n - 1; i++) { char S[5]; S[0] = s[i]; S[1] = s[i + 1]; S[2] = '\0'; string ss = (string)S; if (ms[ss] > Max) { Max = ms[ss]; ans = ss; } } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (int)1e5 + 7; const int inf = (int)1e9 + 7; map<string, int> mp; int main() { int n; scanf("%d", &n); string s; cin >> s; for (int i = 1; i < n; i++) { string t; t.push_back(s[i - 1]); t.push_back(s[i]); mp[t]++; } string ans; int mx = -1; for (auto to : mp) { if (to.second > mx) { mx = to.second; ans = to.first; } } cout << ans; }
#include <bits/stdc++.h> using namespace std; bool sortmahstyle(const pair<int, int> &a, const pair<int, int> &b) { if (a.second < b.second) return true; return false; } void solve() { int n; cin >> n; string s, gram; cin >> s; int ans = INT_MIN; for (int i = 0; i < n - 1; i++) { int cnt = 0; string tgram = s.substr(i, 2); for (int j = 0; j < n - 1; j++) { string comp = s.substr(j, 2); if (tgram == comp) { cnt++; } } if (cnt > ans) { ans = cnt; gram = tgram; } } cout << gram << "\n"; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long int t = 1; while (t--) solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; char a[n]; cin >> a; int count[26][26] = {0}; int max = 0; int ai, aj; for (int i = 0; i < n - 1; i++) { count[a[i] - 65][a[i + 1] - 65]++; if (count[a[i] - 65][a[i + 1] - 65] > max) { ai = a[i] - 65; aj = a[i + 1] - 65; max = count[a[i] - 65][a[i + 1] - 65]; } } cout << char(ai + 65) << char(aj + 65); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, max_index, max_count = 0; cin >> n; char* arr = new char[n]; cin >> arr; for (int i = 1; i < n; i++) { int count = 1; for (int j = i + 1; j < n; j++) { if (arr[i] == arr[j] && arr[i - 1] == arr[j - 1]) count++; } if (count > max_count) { max_count = count; max_index = i; } } cout << arr[max_index - 1] << arr[max_index] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1e5 + 20; int main() { long long n, i, j, m = -inf; string s, ans; cin >> n >> s; for (i = 0; i < n - 1; ++i) { string s2 = ""; s2 += s[i]; s2 += s[i + 1]; long long c = 0; for (j = 0; j < n - 1; ++j) { if (s[j] == s2[0] && s[j + 1] == s2[1]) c++; } if (c > m) { m = c; ans = s2; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; string s; cin >> s; int res = 0; string ans; char x, y; for (int i = 0; i < n - 1; ++i) { int cur = 0; for (int j = 0; j < n - 1; ++j) if (s[j] == s[i] && s[j + 1] == s[i + 1]) ++cur; if (res < cur) { res = cur; x = s[i]; y = s[i + 1]; } } cout << x << y << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; scanf("%d", &n); string s; cin >> s; map<string, int> cnt; string ans; for (int i = 0; i < n - 1; i++) { ans = s[i]; ans += s[i + 1]; cnt[ans]++; } int c = 0; for (auto i : cnt) { if (i.second > c) { c = i.second; ans = i.first; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int i, j, k, t; int n; cin >> n; string s; cin >> s; std::map<string, int> m; for (i = 0; i < (n - 1); i++) { std::string p = s.substr(i, 2); m[p]++; } int mx = 0; string ans; for (auto it = m.begin(); it != m.end(); it++) { if ((int)it->second > mx) { mx = (int)it->second; ans = (string)it->first; } } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 200100; int main() { int n, cnt = 0, maxCnt = -1; string s, t, tt, ans; cin >> n >> s; for (int i = 0; i < n - 1; i++) { t = s[i]; t += s[i + 1]; cnt = 0; for (int j = i + 1; j < n - 1; j++) { tt = s[j]; tt += s[j + 1]; if (t == tt) { ++cnt; } } if (cnt > maxCnt) { ans = t; maxCnt = cnt; } } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int n, count, max = 0; cin >> n; string s, S0, S1; cin >> s; for (int i = 0; i < n; i++) { count = 0; for (int j = 0; j < n; j++) { if (s[i] == s[j] && s[i + 1] == s[j + 1]) count++; } if (count > max) { max = count; S0 = s[i]; S1 = s[i + 1]; } } cout << S0 << S1; }
#include <bits/stdc++.h> using namespace std; int N, R, vals[1 << 18]; double sum = 0; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout << fixed << setprecision(18); cin >> N >> R; for (int i = 0; i < (1 << N); i++) { cin >> vals[i]; sum += vals[i]; } cout << sum / (1 << N) << '\n'; for (int i = 0; i < R; i++) { int x, y; cin >> x >> y; sum += y - vals[x]; vals[x] = y; cout << sum / (1 << N) << '\n'; } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int getrnd(int l, int r) { return uniform_int_distribution<int>(l, r)(rng); } template <typename T1, typename T2> bool relax(T1& a, const T2& b) { if (a > b) { a = b; return 1; } return 0; } template <typename T1, typename T2> bool strain(T1& a, const T2& b) { if (a < b) { a = b; return 1; } return 0; } void solve() { int n, r; cin >> n >> r; int pw = 1 << n; ld res = 0; vector<int> a(pw); for (int i = 0; i < pw; ++i) cin >> a[i], res += (ld)a[i] / pw; cout.precision(10); cout << fixed << res << '\n'; for (int i = 0; i < r; ++i) { int x, y; cin >> x >> y; res -= (ld)a[x] / pw; res += (ld)y / pw; a[x] = y; cout << res << '\n'; } } int main() { ios::sync_with_stdio(0); cin.tie(nullptr); cout.tie(nullptr); srand(time(0)); int t = 1; while (t--) solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 18; int n, r; double sum; double a[(1 << MAXN) + 1]; int main(void) { scanf("%d%d", &n, &r); for (int i = 0; i < 1 << n; ++i) { scanf("%lf", &a[i]); sum += a[i]; } printf("%.8lf\n", sum / (1 << n)); for (int i = 0; i < r; ++i) { int z; double g; scanf("%d%lf", &z, &g); sum += g - a[z]; a[z] = g; printf("%.8lf\n", sum / (1 << n)); } return 0; }
#include <bits/stdc++.h> int c[1 << 18]; int main() { int n, r, i, z, g; long long sum; scanf("%d%d", &n, &r); n = (1 << n); sum = 0; for (i = 0; i < n; ++i) { scanf("%d", &c[i]); sum += c[i]; } printf("%.12f\n", sum * 1.0 / n); while (r--) { scanf("%d%d", &z, &g); sum -= c[z]; sum += (c[z] = g); printf("%.12f\n", sum * 1.0 / n); } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, r, i, sum; vector<long long> m; int main() { cin >> n >> r; double k = 1 << n; for (i = 0; i < k; i++) { long long a; cin >> a; m.push_back(a); sum += a; } cout.precision(10); cout << fixed << (double)sum / k << '\n'; for (i = 0; i < r; i++) { long long p; cin >> p; long long v; cin >> v; sum += v; sum -= m[p]; m[p] = v; cout << fixed << (double)sum / k << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; long long r; scanf("%d %lld", &n, &r); double sum = 0; vector<int> c(1 << n); for (int i = 0; i < (1 << n); i++) { scanf("%d", &c[i]); sum += c[i]; } printf("%.6f\n", sum / (1 << n)); for (int i = 0; i < r; i++) { int z, g; scanf("%d %d", &z, &g); sum = sum - c[z] + g; c[z] = g; printf("%.6f\n", sum / (1 << n)); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cout << setprecision(20); int a[2000000]; int n; cin >> n; int q; cin >> q; int m = 1; for (int i = 0; i < n; i++) { m *= 2; } n = m; long long sum = 0; for (int i = 0; i < n; i++) { cin >> a[i]; sum += a[i]; } cout << (sum * 1.0) / (n * 1.0) << '\n'; for (int i = 0; i < q; i++) { int j = 0; cin >> j; int a1; cin >> a1; sum += a1; sum -= a[j]; a[j] = a1; cout << (sum * 1.0) / (n * 1.0) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n, r; cin >> n >> r; vector<double> num(1 << n); double ans = 0; for (int i = 0; i < (1 << n); ++i) { cin >> num[i]; ans += num[i]; } cout << setprecision(7) << ans / (1 << n) << "\n"; for (int i = 0; i < r; ++i) { int temp, val; cin >> temp >> val; ans += val; ans -= num[temp]; num[temp] = val; cout << setprecision(7) << ans / (1 << n) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, r, a[262155], uu, vv; long long sum; int main() { cin >> n >> r; for (int i = 0; i < (1 << n); i++) { scanf("%d", &a[i]); sum += a[i]; } printf("%.12f\n", (double)sum / (1 << n)); while (r--) { scanf("%d %d", &uu, &vv); sum -= a[uu]; a[uu] = vv; sum += a[uu]; printf("%.12f\n", (double)sum / (1 << n)); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 5; int n; long long r, a[(1LL << 20)], x, y; int main() { scanf("%d %I64d", &n, &r); long long sum = 0; double qpw = 1; for (int i = 1; i <= n; ++i) qpw *= 2; for (int i = 1; i <= qpw; ++i) { scanf("%I64d", &a[i]); sum += a[i]; } printf("%.6f\n", sum * 1.0 / qpw); double ans = 0; while (r--) { scanf("%I64d %I64d", &x, &y); sum += (y - a[x + 1]); a[x + 1] = y; ans = sum * 1.0 / qpw; printf("%.6f\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1 << 19; const double pi = acos(-1); int n, r; double a[MAXN], tot; int z, g; int main() { scanf("%d%d", &n, &r); n = 1 << n; for (int(i) = (0); (i) < (n); (i)++) { scanf("%lf", a + i); tot += a[i]; } printf("%.8f\n", tot / n); for (int(i) = (0); (i) < (r); (i)++) { scanf("%d%d", &z, &g); tot -= a[z]; a[z] = g; tot += a[z]; printf("%.8f\n", tot / n); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, r; long long f[(1 << 18) + 1]; long long sum(int up) { long long ans = 0; for (int i = 0; i <= up - 1; ++i) ans += f[i]; return ans; } int main() { ios_base::sync_with_stdio(false); cin >> n >> r; int nos = 1 << n; int up = nos; for (int i = 0; i <= up - 1; ++i) cin >> f[i]; long long t = sum(nos); cout << std::setprecision(9) << (double)t / (nos) << "\n"; for (int i = 1; i <= r; ++i) { long long z, g; cin >> z >> g; long long change = g - f[z]; t += change; cout.precision(9); cout << std::setprecision(9) << (double)t / nos << "\n"; f[z] = g; } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fll; const long double pi = acos(-1); const int MOD = 1e9 + 7; const int N = 1e6; int n, r; int v[N]; int main() { scanf("%d %d", &n, &r); for (int i = 0; i < (1 << n); i++) scanf("%d", &v[i]); long long sum = 0; for (int i = 0; i < (1 << n); i++) sum += v[i]; cout << fixed << setprecision(10); double lim = (1 << n); cout << sum / lim << endl; for (int i = 0; i < r; i++) { int a, b; scanf("%d %d", &a, &b); sum -= v[a]; v[a] = b; sum += v[a]; cout << sum / lim << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> using minpq = priority_queue<T, vector<T>, greater<T>>; template <typename T> using maxpq = priority_queue<T, vector<T>, less<T>>; template <typename T1, typename T2, typename H1 = hash<T1>, typename H2 = hash<T2>> struct pair_hash { size_t operator()(const pair<T1, T2>& p) const { return 31 * H1{}(p.first) + H2{}(p.second); } }; char _inputBuffer[4096 + 1], *_inputPtr = _inputBuffer, _outputBuffer[4096], _c, _sign, *_tempInputBuf = nullptr, _numBuf[128], _tempOutputBuf[128], _fill = ' '; const char* _delimiter = " "; int _cur, _outputPtr = 0, _numPtr = 0, _precision = 6, _width = 0, _tempOutputPtr = 0, _cnt; unsigned long long _precisionBase = 1000000; void read(int& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(unsigned int& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(long long& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(unsigned long long& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(double& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_c == '.') for (double _div = 1.0; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) += (_c - '0') / (_div *= 10)) ; if (_sign) (x) = -(x); } while (0); } void read(long double& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_c == '.') for (long double _div = 1.0; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) += (_c - '0') / (_div *= 10)) ; if (_sign) (x) = -(x); } while (0); } void read(char& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); } while (0); } void read(char* x) { do { _cur = 0; do { _c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while (_c <= ' '); do { (x)[_cur++] = _c; } while ((_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) > ' '); (x)[_cur] = '\0'; } while (0); } void read(string& x) { do { if (!_tempInputBuf) assert(0); do { _cur = 0; do { _c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while (_c <= ' '); do { (_tempInputBuf)[_cur++] = _c; } while ((_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) > ' '); (_tempInputBuf)[_cur] = '\0'; } while (0); (x) = string(_tempInputBuf, _cur); } while (0); } template <typename T, typename... Ts> void read(T&& x, Ts&&... xs) { read(x); read(forward<Ts>(xs)...); } void write(bool x) { do { if (x) (_tempOutputBuf[_tempOutputPtr++] = ('1')); else (_tempOutputBuf[_tempOutputPtr++] = ('0')); int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(int x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned int _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned int _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(unsigned int x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned int _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned int _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(long long x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned long long _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned long long _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(unsigned long long x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned long long _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned long long _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(double x) { do { if (std::isnan(x)) { do { int _slen = strlen("NaN"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("NaN"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if (std::isinf(x)) { do { int _slen = strlen("Inf"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("Inf"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); unsigned long long _I = (unsigned long long)(-(x)); unsigned long long _F = ((-(x)) - _I) * _precisionBase + (double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { unsigned long long _I = (unsigned long long)(x); unsigned long long _F = ((x)-_I) * _precisionBase + (double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(long double x) { do { if (std::isnan(x)) { do { int _slen = strlen("NaN"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("NaN"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if (std::isinf(x)) { do { int _slen = strlen("Inf"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("Inf"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); unsigned long long _I = (unsigned long long)(-(x)); unsigned long long _F = ((-(x)) - _I) * _precisionBase + (long double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { unsigned long long _I = (unsigned long long)(x); unsigned long long _F = ((x)-_I) * _precisionBase + (long double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(char x) { do { (_tempOutputBuf[_tempOutputPtr++] = (x)); int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(char* x) { do { int _slen = strlen(x); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = (x); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(const char* x) { do { int _slen = strlen(x); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = (x); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(string& x) { do { for (int _i = 0; _i < (_width - (int)(x).length()); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < (int)(x).length(); (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (x[_i++]), _outputPtr++)) ; for (int _i = 0; _i < (-_width - (int)(x).length()); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } template <typename T, typename... Ts> void write(T&& x, Ts&&... xs) { write(x); for (const char* _p = _delimiter; *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; write(forward<Ts>(xs)...); } void writeln() { (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = ('\n'), _outputPtr++); } template <typename... Ts> void writeln(Ts&&... xs) { write(forward<Ts>(xs)...); (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = ('\n'), _outputPtr++); } void flush() { do { (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0); fflush(stdout); } while (0); } class IOManager { public: ~IOManager() { flush(); } }; unique_ptr<IOManager> _iomanager; int N, Q; long long A[(1 << 19)]; int main() { _iomanager.reset(new IOManager()); do { _precision = (9); _precisionBase = 1; for (int _i = 0; _i < (9); _i++, _precisionBase *= 10) ; } while (0); read(N, Q); int NN = 1 << N; long long sum = 0; for (auto i = (0); i < (NN); i++) { read(A[i]); sum += A[i]; } writeln(double(sum) / NN); int z; long long g; for (auto i = (0); i < (Q); i++) { read(z, g); sum += g - A[z]; A[z] = g; writeln(double(sum) / NN); } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; ll x[1 << 18]; void safeout(long long sum, long long m) { using ld = long double; long long f = sum / m; ld s = ld(sum % m) / (ld)m; if (f >= 10) { s += sum % 10; cout << f / 10 << s << endl; } else { cout << (ld)sum / (ld)m << endl; } } int main() { ios::sync_with_stdio(false), cin.tie(0); ll n, r; cin >> n >> r; ll m = 1 << n; ll sum = 0; for (int i = 0; i < m; i++) cin >> x[i], sum += x[i]; cout << fixed << setprecision(7); safeout(sum, m); for (int i = 0; i < r; i++) { ll a, b; cin >> a >> b; sum -= x[a]; x[a] = b; sum += x[a]; safeout(sum, m); } }
#include <bits/stdc++.h> int c[1 << 18]; int main() { int n, r, i, z, g; long long sum; scanf("%d%d", &n, &r); n = (1 << n); sum = 0; for (i = 0; i < n; ++i) { scanf("%d", &c[i]); sum += c[i]; } printf("%.12f\n", sum * 1.0 / n); while (r--) { scanf("%d%d", &z, &g); sum -= c[z]; sum += (c[z] = g); printf("%.12f\n", sum * 1.0 / n); } return 0; }
#include <bits/stdc++.h> using namespace std; int a[2000009]; signed main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int t = 1; while (t--) { int n, r; cin >> n >> r; int nn = pow(2, n); unsigned long long sum = 0; for (int i = 1; i <= pow(2, n); i++) { cin >> a[i]; sum += a[i]; } cout << setprecision(10); cout << (double)sum / (double)nn << endl; while (r--) { int x, y; cin >> x >> y; sum -= a[x + 1]; a[x + 1] = y; sum += a[x + 1]; cout << setprecision(10); cout << (double)sum / (double)nn << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int max_n = 300011, log_n = 32, max_m = 111, mod = 1000000007, inf = 1011111111; int n, a[max_n], m; long long s; int main() { cin >> n >> m; for (int i = 0; i < (1 << n); ++i) { scanf("%d", &a[i]); s += a[i]; } for (int i = 0; i <= m; ++i) { printf("%.12f\n", 1.0 * s / (1 << n)); int x, y; if (i == m) continue; scanf("%d%d", &x, &y); s -= a[x] - y; a[x] = y; } return 0; }
#include <bits/stdc++.h> using namespace std; 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 n, Q, a[1 << 18]; long long tot; int main() { n = read(), Q = read(); for (int i = 0; i < (1 << n); ++i) { a[i] = read(); tot += a[i]; } printf("%.10lf\n", tot * 1.0 / (1 << n)); while (Q--) { int x = read(), y = read(); tot -= a[x]; a[x] = y; tot += a[x]; printf("%.10lf\n", tot * 1.0 / (1 << n)); } return 0; }
#include <bits/stdc++.h> int main() { int n, r, z, g; scanf("%d%d", &n, &r); double n2 = 1 << n, m = 0.0; int C[1 << n]; int i = 0; while (i < 1 << n) { scanf("%d", &C[i]); m += C[i++] / n2; } printf("%.7f\n", m); while (r-- > 0) { scanf("%d%d", &z, &g); m -= (C[z] - g) / n2; C[z] = g; printf("%.7f\n", m); } return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long ans = 0, w = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') w = -1; ch = getchar(); } while (isdigit(ch)) { ans = (ans << 3) + (ans << 1) + ch - '0'; ch = getchar(); } return ans * w; } long long n, sum = 0, r, a[(1 << 18) + 5]; int main() { n = read(), r = read(); n = (1 << n); for (int i = 1; i <= n; ++i) a[i] = read(), sum += a[i]; printf("%6lf", (double)sum / n); while (r--) { long long p = read() + 1, v = read(); sum = sum - a[p] + v; a[p] = v; printf("\n%6lf", (double)sum / n); } return 0; }
#include <bits/stdc++.h> long long dx[4] = {0, -1, 0, 1}; long long dy[4] = {1, 0, -1, 0}; using namespace std; class pa3 { public: long long x, y, z; pa3(long long x = 0, long long y = 0, long long z = 0) : x(x), y(y), z(z) {} bool operator<(const pa3 &p) const { if (x != p.x) return x < p.x; if (y != p.y) return y < p.y; return z < p.z; } bool operator>(const pa3 &p) const { if (x != p.x) return x > p.x; if (y != p.y) return y > p.y; return z > p.z; } bool operator==(const pa3 &p) const { return x == p.x && y == p.y && z == p.z; } bool operator!=(const pa3 &p) const { return !(x == p.x && y == p.y && z == p.z); } }; class pa4 { public: double x; long long y, z, w; pa4(double x = 0, long long y = 0, long long z = 0, long long w = 0) : x(x), y(y), z(z), w(w) {} bool operator<(const pa4 &p) const { if (x != p.x) return x < p.x; if (y != p.y) return y < p.y; if (z != p.z) return z < p.z; return w < p.w; } bool operator>(const pa4 &p) const { if (x != p.x) return x > p.x; if (y != p.y) return y > p.y; if (z != p.z) return z > p.z; return w > p.w; } bool operator==(const pa4 &p) const { return x == p.x && y == p.y && z == p.z && w == p.w; } }; class pa2 { public: long long x, y; pa2(long long x = 0, long long y = 0) : x(x), y(y) {} pa2 operator+(pa2 p) { return pa2(x + p.x, y + p.y); } pa2 operator-(pa2 p) { return pa2(x - p.x, y - p.y); } bool operator<(const pa2 &p) const { return y != p.y ? y < p.y : x < p.x; } bool operator>(const pa2 &p) const { return x != p.x ? x < p.x : y < p.y; } bool operator==(const pa2 &p) const { return abs(x - p.x) == 0 && abs(y - p.y) == 0; } bool operator!=(const pa2 &p) const { return !(abs(x - p.x) == 0 && abs(y - p.y) == 0); } }; class Point { public: double x, y; Point(double x = 0, double y = 0) : x(x), y(y) {} Point operator+(Point p) { return Point(x + p.x, y + p.y); } Point operator-(Point p) { return Point(x - p.x, y - p.y); } Point operator*(double a) { return Point(x * a, y * a); } Point operator/(double a) { return Point(x / a, y / a); } double absv() { return sqrt(norm()); } double norm() { return x * x + y * y; } bool operator<(const Point &p) const { return x != p.x ? x < p.x : y < p.y; } bool operator==(const Point &p) const { return fabs(x - p.x) < (1e-10) && fabs(y - p.y) < (1e-10); } }; struct Segment { Point p1, p2; }; double dot(Point a, Point b) { return a.x * b.x + a.y * b.y; } double cross(Point a, Point b) { return a.x * b.y - a.y * b.x; } bool parareru(Point a, Point b, Point c, Point d) { return abs(cross(a - b, d - c)) < (1e-10); } double distance_ls_p(Point a, Point b, Point c) { if (dot(b - a, c - a) < (1e-10)) return (c - a).absv(); if (dot(a - b, c - b) < (1e-10)) return (c - b).absv(); return abs(cross(b - a, c - a)) / (b - a).absv(); } bool is_intersected_ls(Segment a, Segment b) { if (a.p1 == b.p1 || a.p2 == b.p1 || a.p1 == b.p2 || a.p2 == b.p2) return false; if (parareru((a.p2), (a.p1), (a.p1), (b.p2)) && parareru((a.p2), (a.p1), (a.p1), (b.p1))) { if (dot(a.p1 - b.p1, a.p1 - b.p2) < (1e-10)) return true; if (dot(a.p2 - b.p1, a.p2 - b.p2) < (1e-10)) return true; if (dot(a.p1 - b.p1, a.p2 - b.p1) < (1e-10)) return true; if (dot(a.p1 - b.p2, a.p2 - b.p2) < (1e-10)) return true; return false; } else return (cross(a.p2 - a.p1, b.p1 - a.p1) * cross(a.p2 - a.p1, b.p2 - a.p1) < (1e-10)) && (cross(b.p2 - b.p1, a.p1 - b.p1) * cross(b.p2 - b.p1, a.p2 - b.p1) < (1e-10)); } double segment_dis(Segment a, Segment b) { if (is_intersected_ls(a, b)) return 0; double r = distance_ls_p(a.p1, a.p2, b.p1); r = min(r, distance_ls_p(a.p1, a.p2, b.p2)); r = min(r, distance_ls_p(b.p1, b.p2, a.p2)); r = min(r, distance_ls_p(b.p1, b.p2, a.p1)); return r; } Point intersection_ls(Segment a, Segment b) { Point ba = b.p2 - b.p1; double d1 = abs(cross(ba, a.p1 - b.p1)); double d2 = abs(cross(ba, a.p2 - b.p1)); double t = d1 / (d1 + d2); return a.p1 + (a.p2 - a.p1) * t; } string itos(long long i) { ostringstream s; s << i; return s.str(); } long long gcd(long long v, long long b) { if (v > b) return gcd(b, v); if (v == b) return b; if (b % v == 0) return v; return gcd(v, b % v); } double distans(double x1, double y1, double x2, double y2) { double rr = (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2); return sqrt(rr); } long long mod; long long pr[2010]; long long inv[2010]; long long beki(long long wa, long long rr, long long warukazu) { if (rr == 0) return 1 % warukazu; if (rr == 1) return wa % warukazu; if (rr % 2 == 1) return (beki(wa, rr - 1, warukazu) * wa) % warukazu; long long zx = beki(wa, rr / 2, warukazu); return (zx * zx) % warukazu; } void gya(long long ert) { pr[0] = 1; for (long long i = 1; i < ert; i++) { pr[i] = (pr[i - 1] * i) % mod; } for (long long i = 0; i < ert; i++) inv[i] = beki(pr[i], mod - 2, mod); } long long a[1 << 18]; signed main() { cin.tie(0); ios::sync_with_stdio(false); long long n, r; cin >> n >> r; long long ans = 0; for (long long i = 0; i < (1 << n); i++) { cin >> a[i]; ans += a[i]; } printf("%.10lf\n", (double)ans / ((1 << n) + 0.0)); for (long long i = 0; i < r; i++) { long long x, e; cin >> x >> e; long long sa = e - a[x]; a[x] = e; ans += sa; printf("%.10lf\n", (double)ans / ((1 << n) + 0.0)); } return 0; }
#include <bits/stdc++.h> #pragma comment(linker, '/STACK:200000') using namespace std; const int M = 18; const int N = 1 << 18; int n, r; double v[N]; int main() { scanf("%d %d", &n, &r); double ans = 0; int t = (1 << n); for (int i = 0; i < t; ++i) { scanf("%lf", v + i); ans += v[i]; } printf("%.10lf\n", ans / (double)t); for (int i = 0; i < r; ++i) { int a, b; scanf("%d %d", &a, &b); ans -= v[a]; v[a] = b; ans += v[a]; printf("%.10lf\n", ans / (double)t); } return 0; }
#include <bits/stdc++.h> int main() { int n, r; std::cin >> n >> r; size_t f_size = 1; for (size_t i = 0; i < n; ++i) { f_size *= 2; } std::vector<int> f(f_size); double expect = 0; for (size_t i = 0; i < f_size; ++i) { std::cin >> f[i]; expect += f[i]; } expect /= f_size; std::cout << std::fixed << std::setprecision(10) << expect << "\n"; for (size_t game = 0; game < r; ++game) { int z, g; std::cin >> z >> g; expect = expect + (-1. * f[z] + g) / f_size; f[z] = g; std::cout << std::fixed << std::setprecision(10) << expect << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cerr << name << " : " << arg1 << std::endl; } template <typename Arg1, typename... Args> void __f(const char* names, Arg1&& arg1, Args&&... args) { const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...); } const int N = 1e5 + 5; int A[1 << 19]; double sum = 0; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); ; int n, q; cin >> n >> q; n = 1 << n; for (int i = 0; i < n; i++) { cin >> A[i]; sum += A[i]; } cout << fixed << setprecision(10) << sum / n << "\n"; while (q--) { int id; cin >> id; sum -= A[id]; cin >> A[id]; sum += A[id]; cout << fixed << setprecision(10) << sum / n << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("-O2") const int LIM = 1e5 + 5, MOD = 1e9 + 7; int n; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; long long a = (1 << n); long double divv = a; long long sum = 0, r, x, y; long long A[a + 5]; cin >> r; for (int i = 0; i < a; i++) { cin >> A[i]; sum += A[i]; } cout << setprecision(10) << fixed; cout << sum / divv << "\n"; for (int i = 0; i < r; i++) { cin >> x >> y; sum -= A[x]; sum += y; A[x] = y; cout << sum / divv << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; void Draganov47() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } void print(long long a, long long b) { long double sum = a; long double k = b; cout << setprecision(10) << fixed << sum / k << '\n'; } int main() { Draganov47(); int n, r; cin >> n >> r; vector<long long> a(1 << n); long long sum = 0; for (int i = 0; i < (1 << n); i++) { cin >> a[i]; sum += a[i]; } print(sum, (1 << n)); for (int i = 0; i < r; i++) { int pos, val; cin >> pos >> val; sum -= a[pos]; a[pos] = val; sum += val; print(sum, (1 << n)); } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, r, sum(0); vector<long long> x; int main() { cin >> n >> r; double c = 1 << n; for (long long i = 0; i < c; i++) { long long a; cin >> a; x.push_back(a); sum += a; } cout << setprecision(10) << fixed << (double)sum / c << "\n"; for (long long i = 0; i < r; i++) { long long z, g; cin >> z >> g; sum += g; sum -= x[z]; x[z] = g; cout << fixed << (double)sum / c << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; inline int myrand(int l, int r) { int ret = rand(); ret <<= 15; ret ^= rand(); if (ret < 0) ret = -ret; ret %= (r - l + 1); ret += l; return ret; } template <typename F, typename S> ostream& operator<<(ostream& os, const pair<F, S>& p) { return os << "(" << p.first << ", " << p.second << ")"; } template <typename T> using min_pq = priority_queue<T, vector<T>, greater<T> >; int n, r; double a[1 << 18]; int32_t main() { scanf("%d %d", &n, &r); for (int i = 0; i < (1 << n); i++) { scanf("%lf", &a[i]); } double s = 0; for (int i = 0; i < (1 << n); i++) { s += a[i]; } printf("%.10lf\n", s / double(1 << n)); while (r--) { int i; double x; scanf("%d %lf", &i, &x); s -= a[i]; a[i] = x; s += a[i]; printf("%.10lf\n", s / double(1 << n)); } }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; vector<int> edge[105]; const int maxn = 300500; int main() { int n, r; double pown = 1; cout.precision(6); int a[maxn]; double ans = 0; long long sum = 0; cin >> n >> r; for (int i = 0; i < n; i++) pown *= 2; for (int i = 0; i < pown; i++) { cin >> a[i]; sum += a[i]; } ans = sum * 1.0 / pown; cout << fixed << ans << endl; for (int i = 0; i < r; i++) { int x, num; cin >> x >> num; sum += (num - a[x]); a[x] = num; ans = sum * 1.0 / pown; cout << fixed << ans << endl; } }
#include <bits/stdc++.h> using namespace std; int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); long long n, r; cin >> n >> r; vector<int> v; double rows = pow(2, n); double sum = 0; for (long long i = 0; i < rows; ++i) { int k; cin >> k; sum += k; v.push_back(k); } cout << setprecision(20) << sum / rows << '\n'; for (int i = 0; i < r; ++i) { int pos, val; cin >> pos >> val; int dif = val - v[pos]; v[pos] = val; sum += dif; cout << setprecision(20) << sum / rows << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; template <class T> using vec = vector<T>; template <class T> using v2d = vector<vector<T>>; template <class T> using v3d = vector<vector<vector<T>>>; template <class T> using v4d = vector<vector<vector<vector<T>>>>; template <class T> using prq = priority_queue<T>; template <class T> using rpq = priority_queue<T, vector<T>, greater<T>>; int main() { int n, r; scanf("%d %d", &n, &r); int m = 1 << n; vec<int> x(m); ll sum = 0; for (auto& i : x) { scanf("%d", &i); sum += i; } printf("%.9f\n", sum / (double)m); while (r--) { int u, v; scanf("%d %d", &u, &v); sum += v - x[u]; x[u] = v; printf("%.9f\n", sum / (double)m); } }
#include <bits/stdc++.h> using namespace std; const int P = 18; const int N = 1 << P; int f[N]; int n, r, z, g; long long sum; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> r; int m = 1 << n; for (int i = 0; i < m; i++) { cin >> f[i]; sum += f[i]; } cout << fixed << setprecision(7) << (double)sum / m << endl; for (int i = 1; i <= r; i++) { cin >> z >> g; (sum -= f[z]) += g; f[z] = g; cout << fixed << setprecision(7) << (double)sum / m << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int32_t main() { ios::sync_with_stdio(false); int n, q; cin >> n >> q; vector<long long> tab(1LL << n); long long sum = 0; for (int i = 0; i < (1 << n); i++) { cin >> tab[i]; sum += tab[i]; } long double val = (1LL << n); cout.precision(8); cout << fixed << sum / val << endl; while (q-- > 0) { long long x, v; cin >> x >> v; sum += v - tab[x]; tab[x] = v; cout.precision(8); cout << fixed << sum / val << endl; } }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; ll x[1 << 18]; void out(ll sum, ll m) { ll f = sum / m; ld s = ld(sum % m) / (ld)m; if (f >= 10) { s += sum % 10; cout << f / 10 << (ld)s / (ld)m << endl; } else { cout << (ld)sum / (ld)m << endl; } } int main() { ios::sync_with_stdio(false), cin.tie(0); ll n, r; cin >> n >> r; ll m = 1 << n; ll sum = 0; for (int i = 0; i < m; i++) cin >> x[i], sum += x[i]; cout << fixed << setprecision(7); out(sum, m); for (int i = 0; i < r; i++) { ll a, b; cin >> a >> b; sum -= x[a]; x[a] = b; sum += x[a]; out(sum, m); } }
#include <bits/stdc++.h> using namespace std; const int MAXN = (1 << 18); long long c[MAXN + 5], sum; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int N, K; cin >> N >> K; for (int i = 0; i < (1 << N); i++) { cin >> c[i]; sum += c[i]; } cout << fixed << setprecision(6) << (double)sum / (1 << N) << '\n'; for (int i = 0; i < K; i++) { long long id, x; cin >> id >> x; sum -= c[id]; c[id] = x; sum += x; cout << fixed << setprecision(6) << (double)sum / (1 << N) << '\n'; } }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ull = unsigned long long; using uint = unsigned int; using ldb = long double; struct init { init() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cout << fixed << setprecision(10); } ~init() { cerr << "Time elapsed: " << (double)clock() / CLOCKS_PER_SEC << "s.\n"; } } init; const long long N = (1 << 20), MOD = 1000 * 1000 * 1000 + 7; const ldb EPS = 5e-12, HALF = 0.5; long long a[N]; long long sum; signed main() { long long n, r; cin >> n >> r; for (auto i = (long long)0; i < (long long)(1 << n); ++i) { cin >> a[i]; sum += a[i]; } cout << sum / 1. / (1 << n) << '\n'; while (r--) { long long x, g; cin >> x >> g; sum -= a[x]; sum += g; a[x] = g; cout << sum / 1. / (1 << n) << '\n'; } }
#include <bits/stdc++.h> using namespace std; void err(istream_iterator<string> it) { cerr << endl; } template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << ", "; err(++it, args...); } void solve() { int n, r; cin >> n >> r; int n2 = 1 << n; vector<int> f(n2); for (int i = 0; i < n2; ++i) cin >> f[i]; long long sum = 0; for (int i = 0; i < n2; ++i) sum += f[i]; cout << setprecision(9); cout << (1.0 * sum / n2) << endl; while (r-- > 0) { int z, g; cin >> z >> g; sum += (g - f[z]); f[z] = g; cout << ((long double)sum / n2) << endl; } } int main(int argc, char* argv[]) { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const int N = 3e5 + 5; const int M = 20; long long power(long long x, unsigned long long y, long long p) { long long res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); ; long long n, r; cin >> n >> r; long long sum = 0, m = 1LL << n; long long arr[m], i; for (i = 0; i < m; i++) { cin >> arr[i]; sum += arr[i]; } double ans = (sum * 1.0) / m; printf("%0.10lf\n", ans); for (i = 1; i <= r; i++) { long long idx, val; cin >> idx >> val; sum -= arr[idx]; sum += val; arr[idx] = val; ans = (1.0 * sum) / m; printf("%0.10lf\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1 << 19; int read() { int s = 0; char c = getchar(), lc = '+'; while (c < '0' || '9' < c) lc = c, c = getchar(); while ('0' <= c && c <= '9') s = s * 10 + c - '0', c = getchar(); return lc == '-' ? -s : s; } void write(int x) { if (x < 0) { putchar('-'); x = -x; } if (x < 10) putchar(x + '0'); else { write(x / 10); putchar(x % 10 + '0'); } } void print(int x, char c = '\n') { write(x); putchar(c); } int a[N]; double sum = 0; signed main() { int n = read(), m = read(); for (int i = 0; i < (1 << n); i++) sum += a[i] = read(); printf("%.8lf\n", sum / (1 << n)); for (int i = 1; i <= m; i++) { int x = read(), y = read(); sum -= a[x]; sum += a[x] = y; printf("%.8lf\n", sum / (1 << n)); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, r; cin >> n >> r; long double res = 0; vector<int> v(1 << n); for (int i = 0; i < (int)1 << n; i++) { cin >> v[i]; res += v[i]; } long double pw = 1; for (int i = 0; i < (int)n; i++) pw *= 1.0 / 2; cout << setprecision(8) << fixed << res * pw << "\n"; while (r--) { int z, g; cin >> z >> g; res -= v[z]; res += g; v[z] = g; cout << res * pw << "\n"; } }
#include <bits/stdc++.h> using namespace std; int a[2333333]; int main() { int n, m; scanf("%d%d", &n, &m); n = (1 << n); double sum = 0; for (int i = 0; i < n; i++) scanf("%d", &a[i]), sum += a[i]; printf("%.6f\n", sum / n); for (int i = 0; i < m; i++) { int p, x; scanf("%d%d", &p, &x); sum -= a[p]; sum += x; a[p] = x; printf("%.6f\n", sum / n); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<double> vc; int main() { long long n, r; double q; double sum, ans, x1, x2; while (scanf("%lld%lld", &n, &r) != EOF) { sum = 0; for (long long i = 0; i < 1 << n; i++) { scanf("%lf", &q); sum += q; vc.push_back(q); } printf("%.7lf\n", sum / (1 << n)); for (int i = 0; i < r; i++) { scanf("%lf%lf", &x1, &x2); sum = sum - vc[x1] + x2; vc[x1] = x2; ans = sum / (1 << n); printf("%.7lf\n", ans); } } return 0; }
#include <bits/stdc++.h> using namespace std; string to_string(string s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string)s); } string to_string(bool s) { return to_string((int)s); } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto& x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } const long double eps = 1e-12; const int N = 3e5 + 9; const int M = 1000000; pair<int, pair<int, int>> a[N]; vector<int> g[N]; int from[N], ans[N], n, s[][3] = {{1, 1, 1}, {1, 1, -1}, {1, -1, 1}, {-1, 1, 1}, {-1, -1, -1}, {-1, -1, 1}, {-1, 1, -1}, {1, -1, -1}}; void dfs(int u, int sgn = 1) { if (u < n) ans[u] = sgn; for (int v : g[u]) { dfs(v, sgn * from[v]); } } int c[(1 << 19) + 9]; signed main() { ios::sync_with_stdio(false); cin.tie(0); int u, f, n, r; cin >> n >> r; long long sum = 0; for (int i = 0; i < (1 << n); i++) { cin >> c[i]; sum += c[i]; } cout << fixed << setprecision(20); cout << 1.l * sum / (1 << n) << endl; for (int i = 0; i < r; i++) { cin >> u >> f; sum = sum - c[u] + f; c[u] = f; cout << 1.l * sum / (1 << n) << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, r; scanf("%d%d", &n, &r); vector<double> c(1 << n); double s = 0.0; for (int i = 0; i < (1 << n); i++) { scanf("%lf", &c[i]); s += c[i]; } double p = pow(2.0, n); printf("%.7lf\n", s / p); while (r--) { int x; double g; scanf("%d%lf", &x, &g); s += g - c[x]; c[x] = g; printf("%.7lf\n", s / p); } return 0; }
#include <bits/stdc++.h> const int MAXN = 1 << 18; int read() { int x = 0; char c = getchar(); bool f = 0; while (c < '0' || c > '9') (c == '-') ? f = 1, c = getchar() : c = getchar(); while (c >= '0' && c <= '9') x = (x << 1) + (x << 3) + (48 ^ c), c = getchar(); return (f) ? -x : x; } int c[MAXN]; int main() { int n = read(), r = read(); int pow = 1 << n; long long sum = 0; for (int i = 0; i < pow; ++i) { c[i] = read(); sum += c[i]; } printf("%.6lf\n", sum * 1.0 / pow); for (int t = 0; t < r; ++t) { int z = read(), g = read(); sum = sum - c[z] + g; c[z] = g; printf("%.6lf\n", sum * 1.0 / pow); } }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(6); int n, r, a; long long tot = 0, b; cin >> n >> r; vector<int> arr(1 << n); for (int i = 0; i < arr.size(); ++i) { cin >> arr[i]; tot += arr[i]; } cout << tot / ((1 << n) + 0.0) << "\n"; for (int i = 0; i < r; ++i) { cin >> a >> b; tot += b - arr[a]; arr[a] = b; cout << tot / ((1 << n) + 0.0) << "\n"; } }
#include <bits/stdc++.h> using namespace std; long long n, r, p2, sum, A[262145], i, x, y; int main() { ios::sync_with_stdio(false); cin >> n >> r; p2 = 1LL << n; for (i = 1; i <= p2; i++) { cin >> A[i]; sum += A[i]; } cout << setprecision(10) << fixed << (1.0 * sum / p2) << "\n"; for (i = 1; i <= r; i++) { cin >> x >> y; x++; sum -= A[x]; A[x] = y; sum += A[x]; cout << setprecision(10) << fixed << (1.0 * sum / p2) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, q; scanf("%d%d", &n, &q); n = 1 << n; int* f = new int[n]; long long sum = 0; for (int* it = f; it < f + n; ++it) { scanf("%d", it); sum += (long long)*it; } printf("%.10lf\n", (double)sum / n); int z; while (q--) { scanf("%d", &z); sum -= (long long)f[z]; scanf("%d", &f[z]); sum += (long long)f[z]; printf("%.10lf\n", (double)sum / n); } }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); int n, r; cin >> n >> r; int k = 1 << n; vector<long long> b(k); long long sum = 0; for (int i = 0; i < k; ++i) { cin >> b[i]; sum += b[i]; } cout << fixed << setprecision(9); cout << (double)sum / k << '\n'; for (int i = 0; i < r; ++i) { int a, x; cin >> a >> x; sum -= b[a]; b[a] = x; sum += b[a]; cout << (double)sum / k << '\n'; } }
#include <bits/stdc++.h> using namespace std; const long double EPS = 1e-8; const long double PI = acos(-1.0); const int MAXR = (1 << 18) + 20; int n, r, c[MAXR]; long long sum; void load() { cin >> n >> r; for (int i = 0; i < (1 << n); i++) { cin >> c[i]; sum += c[i]; } } long double get() { return (long double)sum / (1 << n); } void solve() { cout << get() << '\n'; for (int i = 0; i < r; i++) { int z, g; cin >> z >> g; sum = sum - c[z] + g; c[z] = g; cout << get() << '\n'; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.precision(6); cout << fixed << showpoint; load(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int main(int argc, char **argv) { std::ios::sync_with_stdio(false); int n, r; cin >> n >> r; vector<long long> vec(1 << n); long long sum = 0; for (auto &v : vec) { cin >> v; sum += v; } cout << sum / double(1 << n) << '\n'; int a, b; for (size_t i = 0; i < r; ++i) { cin >> a >> b; sum += (b - vec[a]); vec[a] = b; cout << fixed << setprecision(10) << sum / double(1 << n) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int c[500000]; int main() { int n, r; scanf("%d%d", &n, &r); int cnt = 1; for (int i = 0; i < n; i++) { cnt *= 2; } long long summ = 0; for (int i = 0; i < cnt; i++) { scanf("%d", &c[i]); summ += c[i]; } printf("%lf\n", (double)summ / cnt); for (int i = 0; i < r; i++) { int z, g; scanf("%d%d", &z, &g); summ -= c[z]; c[z] = g; summ += c[z]; printf("%lf\n", (double)summ / cnt); } return 0; }
#include <bits/stdc++.h> using namespace std; inline bool EQ(double a, double b) { return fabs(a - b) < 1e-9; } const int INF = (((1 << 30) - 1) << 1) + 1; const int nINF = 1 << 31; const int N = 1 << 18; long long n, r, a[N], s = 0, k; int main() { ios::sync_with_stdio(false); cout << fixed << setprecision(7); cin >> n >> r; k = 1 << n; for (int i = 0; i < (k); i++) { cin >> a[i]; s += a[i]; } cout << s / (double)k << endl; while (r--) { int i, v; cin >> i >> v; s += (v - a[i]); a[i] = v; cout << s / (double)k << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1000000; int n, cq, a[N + 9]; long long sum; void into() { scanf("%d%d", &n, &cq); for (int i = 0; i < 1 << n; ++i) { scanf("%d", &a[i]); sum += a[i]; } } void Get_ans() { printf("%.10lf\n", 1.0 * sum / (1 << n)); for (; cq--;) { int p, x; scanf("%d%d", &p, &x); sum -= a[p]; sum += a[p] = x; printf("%.10lf\n", 1.0 * sum / (1 << n)); } } void work() { Get_ans(); } void outo() {} int main() { int T = 1; for (; T--;) { into(); work(); outo(); } return 0; }
#include <bits/stdc++.h> const int N = 18; int n, r; int a[1 << N]; long long sum; int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(0); std::cout.setf(std::ios::fixed); std::cout.precision(12); std::cin >> n >> r; for (int i = 0; i < (1 << n); ++i) { std::cin >> a[i]; sum += a[i]; } std::cout << 1.0 * sum / (1 << n) << "\n"; while (r--) { int x, v; std::cin >> x >> v; sum -= a[x]; a[x] = v; sum += a[x]; std::cout << 1.0 * sum / (1 << n) << "\n"; } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1 << 18 + 5; int n, r; double c[MAXN]; double ans, sum; int main() { cin >> n >> r; int cnt = 1 << n; for (int i = 0; i < cnt; i++) { scanf("%lf", &c[i]); sum += c[i]; } ans = sum / cnt; printf("%.7lf\n", ans); int a, b; while (r--) { scanf("%d%d", &a, &b); sum -= c[a]; c[a] = b; sum += b; ans = sum / cnt; printf("%.7lf\n", ans); } }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; long long powmod(long long a, long long b) { long long res = 1; a %= mod; assert(b >= 0); for (; b; b >>= 1) { if (b & 1) res = res * a % mod; a = a * a % mod; } return res; } long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } int n, r, z, c[(1 << 18) + 10]; long long ans; int main() { scanf("%d%d", &n, &r); for (int i = 0; i < (1 << n); i++) { scanf("%d", c + i); ans += c[i]; } double w = 1 << n; printf("%.10f\n", ans / w); for (int i = 0; i < r; i++) { scanf("%d", &z); ans -= c[z]; scanf("%d", c + z); ans += c[z]; printf("%.10f\n", ans / w); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> using min_queue = priority_queue<T, vector<T>, greater<T>>; template <typename Args> void kill(Args args) { cout << args << "\n"; exit(0); } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const double PI = acos(-1); const long long MOD = 1000000007; const int INF = 0x3f3f3f3f; const long long LLINF = 0x3f3f3f3f3f3f3f3f; const int N = 1 << 19; long double arr[N]; long double mul = 1; int n, r; void solve(int testnum) { cin >> n >> r; for (int i = 1; i <= n; i++) { mul *= 0.5; } long double sum = 0; for (int i = 0; i < (1 << n); i++) { cin >> arr[i]; sum += arr[i]; } cout << sum * mul << "\n"; for (int i = 1; i <= r; i++) { int g; long double x; cin >> g >> x; sum -= arr[g]; sum += x; arr[g] = x; cout << mul * sum << "\n"; } } void precompute() {} int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cout << fixed << setprecision(12); int testcase = 1; clock_t zzzx = clock(); precompute(); for (int i = 1; i <= testcase; i++) { solve(i); } double elapsed_time = (double)(clock() - zzzx) / CLOCKS_PER_SEC; cerr << "elapsed_time" << " = " << (elapsed_time) << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; ll x[1 << 18]; void safeout(long long sum, long long m) { using ld = long double; long long f = sum / m; long double s = ld(sum % m) / (ld)m; if (f >= 10) { s += sum % 10; cout << f / 10 << (ld)s / (ld)m << endl; } else { cout << (ld)sum / (ld)m << endl; } } int main() { ios::sync_with_stdio(false), cin.tie(0); ll n, r; cin >> n >> r; ll m = 1 << n; ll sum = 0; for (int i = 0; i < m; i++) cin >> x[i], sum += x[i]; cout << fixed << setprecision(7); safeout(sum, m); for (int i = 0; i < r; i++) { ll a, b; cin >> a >> b; sum -= x[a]; x[a] = b; sum += x[a]; safeout(sum, m); } }
#include <bits/stdc++.h> using namespace std; int a[1 << 19]; int main() { int n, r, p; scanf("%d %d", &n, &r); double ans = 0; p = 1 << n; for (int i = 0; i < p; i++) { scanf("%d", &a[i]); ans += a[i]; } printf("%.6f\n", ans / p); int z, g; while (r--) { scanf("%d %d", &z, &g); ans -= a[z]; a[z] = g; ans += a[z]; printf("%.6f\n", ans / p); } }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6; int n, r, c[maxn]; int main(void) { cin >> n >> r; int nm = (1 << n); double rt = 0.0; for (int i = 0; i < (1 << n); ++i) { scanf("%d", &c[i]); rt += double(c[i]) / nm; } printf("%.8f\n", rt); for (int i = 0; i < r; ++i) { int z, g; scanf("%d%d", &z, &g); rt -= (double(c[z] - g) / nm); c[z] = g; printf("%.8f\n", rt); } }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:1024000000,1024000000") using namespace std; const long long inf = 0x3f3f3f3f3f3f3f3f; const int maxn = 100005; int main() { int n; long long r; scanf("%d %lld", &n, &r); n = 1 << n; int c[n]; double sum = 0; for (int i = 0; i < n; i++) scanf("%d", &c[i]), sum += c[i]; printf("%.6f\n", sum / n); for (int i = 0; i < r; i++) { int z, g; scanf("%d %d", &z, &g); sum = sum - c[z] + g; c[z] = g; printf("%.6f\n", sum / n); } }
#include <bits/stdc++.h> const long long MOD = 1000000007; const long long inf = 1e18; using namespace std; long long int modpow(long long int x, long long int n) { long long int res = 1; while (n > 0) { if (n & 1) res = res * x % MOD; x = x * x % MOD; n >>= 1; } return res; } long long int power(long long int x, long long int n) { long long int res = 1; while (n > 0) { if (n & 1) res = res * x; x = x * x; n >>= 1; } return res; } long long int sq(long long int x1, long long int y1) { return x1 * x1 + y1 * y1; } void always_ignore_function_name() { int n, q; cin >> n >> q; std::vector<long long int> v(1 << n); long double a = 0; for (int i = 0; i < (1 << n); i++) { cin >> v[i]; a += v[i]; } cout << setprecision(10) << a / (1 << n) << endl; while (q--) { int x, y; cin >> x >> y; a += y - v[x]; v[x] = y; cout << setprecision(10) << a / (1 << n) << endl; } } int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); int t = 1, tt = 1; while (tt <= t) { always_ignore_function_name(); tt++; } cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n"; }
#include <bits/stdc++.h> using namespace std; long long n, i, j, k, l, sum = 0, flag = 0, t, a[1000000], ans = 0; string s; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long double summ = 0.0; cin >> n >> ans; for (int i = 0; i < (1 << n); i++) { cin >> a[i]; summ += a[i]; } cout << fixed << setprecision(9) << (1.0l * summ / (1LL << n)) << '\n'; while (ans--) { cin >> j >> k; summ -= a[j]; a[j] = k; summ += a[j]; cout << fixed << setprecision(9) << (1.0l * summ / (1LL << n)) << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, r; scanf("%d %d", &n, &r); double f[(1 << (n))], sum = 0; for (int i = 0; i < (1 << n); ++i) scanf("%lf", &f[i]), sum += f[i]; printf("%0.12f\n", sum / (double)(1 << n)); for (int i = 0; i < r; ++i) { int z; double g; scanf("%d %lf", &z, &g); sum -= f[z]; f[z] = g; sum += (double)g; printf("%0.12f\n", sum / (double)(1 << n)); } return 0; }
#include <bits/stdc++.h> using namespace std; long long N, R, c[262144 + 5], sum = 0; struct idontknow { long long z, g; } r[262144 + 5]; void solution1() { for (int i = 0; i < R; i++) { if (0) cout << sum << endl; printf("%6lf\n", (double)sum / (double)pow(2, N)); sum += r[i].g - c[r[i].z]; c[r[i].z] = r[i].g; } printf("%6lf\n", (double)sum / (double)pow(2, N)); } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> N >> R; for (int i = 0; i < pow(2, N); i++) cin >> c[i], sum += c[i]; for (int i = 0; i < R; i++) cin >> r[i].z >> r[i].g; solution1(); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long n, q; cin >> n >> q; n = (long long)(1 << n); int ar[n]; double sum = 0; for (int i = 0; i < n; i++) { cin >> ar[i]; sum += ar[i]; } cout << fixed << setprecision(10); cout << sum / n << endl; for (int i = 0; i < q; i++) { int a, b; cin >> a >> b; sum += b - ar[a]; ar[a] = b; cout << fixed << setprecision(10) << sum / n << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long x = 0, f = 1; char c = getchar(); while ((c < '0' || c > '9') && (c != '-')) c = getchar(); if (c == '-') f = -1, c = getchar(); while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * f; } const int N = 1 << 18 | 3; int n, q, a[N]; long long s; int main() { n = read(), q = read(); for (register int i = (0); i < (1 << n); i++) a[i] = read(), s += a[i]; printf("%lf\n", 1.0 * s / (1 << n)); while (q--) { int x = read(), y = read(); s -= a[x], s += y, a[x] = y; printf("%lf\n", 1.0 * s / (1 << n)); } }
#include <bits/stdc++.h> using namespace std; using ld = long double; using ll = long long; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, r; cin >> n >> r; ld d = pow(2, -n); ll sum = 0; vector<ll> c((1 << n)); for (int i = 0; i < (1 << n); ++i) { cin >> c[i]; sum += c[i]; } for (int i = 0; i < r; ++i) { cout << fixed << setprecision(22) << sum * d << '\n'; int z, g; cin >> z >> g; ll old = c[z]; sum = sum - old + g; c[z] = g; } cout << fixed << setprecision(22) << sum * d << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> using minpq = priority_queue<T, vector<T>, greater<T>>; template <typename T> using maxpq = priority_queue<T, vector<T>, less<T>>; template <typename T1, typename T2, typename H1 = hash<T1>, typename H2 = hash<T2>> struct pair_hash { size_t operator()(const pair<T1, T2>& p) const { return 31 * H1{}(p.first) + H2{}(p.second); } }; char _inputBuffer[4096 + 1], *_inputPtr = _inputBuffer, _outputBuffer[4096], _c, _sign, *_tempInputBuf = nullptr, _numBuf[128], _tempOutputBuf[128], _fill = ' '; const char* _delimiter = " "; int _cur, _outputPtr = 0, _numPtr = 0, _precision = 6, _width = 0, _tempOutputPtr = 0, _cnt; unsigned long long _precisionBase = 1000000; void read(int& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(unsigned int& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(long long& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(unsigned long long& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_sign) (x) = -(x); } while (0); } void read(double& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_c == '.') for (double _div = 1.0; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) += (_c - '0') / (_div *= 10)) ; if (_sign) (x) = -(x); } while (0); } void read(long double& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); _sign = (x) == '-'; if (_sign) (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); for ((x) -= '0'; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) = (x)*10 + _c - '0') ; if (_c == '.') for (long double _div = 1.0; (_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) >= '0'; (x) += (_c - '0') / (_div *= 10)) ; if (_sign) (x) = -(x); } while (0); } void read(char& x) { do { do { (x) = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while ((x) <= ' '); } while (0); } void read(char* x) { do { _cur = 0; do { _c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while (_c <= ' '); do { (x)[_cur++] = _c; } while ((_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) > ' '); (x)[_cur] = '\0'; } while (0); } void read(string& x) { do { if (!_tempInputBuf) assert(0); do { _cur = 0; do { _c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++)); } while (_c <= ' '); do { (_tempInputBuf)[_cur++] = _c; } while ((_c = (*_inputPtr ? *_inputPtr++ : (_inputBuffer[fread(_inputPtr = _inputBuffer, 1, 4096, stdin)] = '\0', *_inputPtr++))) > ' '); (_tempInputBuf)[_cur] = '\0'; } while (0); (x) = string(_tempInputBuf, _cur); } while (0); } template <typename T, typename... Ts> void read(T&& x, Ts&&... xs) { read(x); read(forward<Ts>(xs)...); } void write(bool x) { do { if (x) (_tempOutputBuf[_tempOutputPtr++] = ('1')); else (_tempOutputBuf[_tempOutputPtr++] = ('0')); int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(int x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned int _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned int _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(unsigned int x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned int _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned int _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(long long x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned long long _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned long long _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(unsigned long long x) { do { if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); _cnt = 0; for (unsigned long long _y = (-(x)); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { _cnt = 0; for (unsigned long long _y = (x); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(double x) { do { if (std::isnan(x)) { do { int _slen = strlen("NaN"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("NaN"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if (std::isinf(x)) { do { int _slen = strlen("Inf"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("Inf"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); unsigned long long _I = (unsigned long long)(-(x)); unsigned long long _F = ((-(x)) - _I) * _precisionBase + (double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { unsigned long long _I = (unsigned long long)(x); unsigned long long _F = ((x)-_I) * _precisionBase + (double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(long double x) { do { if (std::isnan(x)) { do { int _slen = strlen("NaN"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("NaN"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if (std::isinf(x)) { do { int _slen = strlen("Inf"); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = ("Inf"); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } else if ((x) < 0) { (_tempOutputBuf[_tempOutputPtr++] = ('-')); unsigned long long _I = (unsigned long long)(-(x)); unsigned long long _F = ((-(x)) - _I) * _precisionBase + (long double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } else { unsigned long long _I = (unsigned long long)(x); unsigned long long _F = ((x)-_I) * _precisionBase + (long double)(0.5); if (_F >= _precisionBase) { _I++; _F = 0; } _cnt = 0; for (unsigned long long _y = (_I); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < 1; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; (_tempOutputBuf[_tempOutputPtr++] = ('.')); _cnt = 0; for (unsigned long long _y = (_F); _y; _y /= 10, _cnt++) _numBuf[_numPtr++] = '0' + _y % 10; for (; _cnt < _precision; _cnt++) _numBuf[_numPtr++] = '0'; for (; _numPtr; (_tempOutputBuf[_tempOutputPtr++] = (_numBuf[--_numPtr]))) ; ; } int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(char x) { do { (_tempOutputBuf[_tempOutputPtr++] = (x)); int _tempLen = _tempOutputPtr; for (int _i = 0; _i < (_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < _tempOutputPtr; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_tempOutputBuf[_i++]), _outputPtr++)) ; _tempOutputPtr = 0; for (int _i = 0; _i < (-_width - _tempLen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(char* x) { do { int _slen = strlen(x); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = (x); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(const char* x) { do { int _slen = strlen(x); for (int _i = 0; _i < (_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (const char* _p = (x); *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; for (int _i = 0; _i < (-_width - _slen); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } void write(string& x) { do { for (int _i = 0; _i < (_width - (int)(x).length()); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); for (int _i = 0; _i < (int)(x).length(); (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (x[_i++]), _outputPtr++)) ; for (int _i = 0; _i < (-_width - (int)(x).length()); _i++) (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (_fill), _outputPtr++); } while (0); } template <typename T, typename... Ts> void write(T&& x, Ts&&... xs) { write(x); for (const char* _p = _delimiter; *_p; (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = (*_p++), _outputPtr++)) ; write(forward<Ts>(xs)...); } void writeln() { (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = ('\n'), _outputPtr++); } template <typename... Ts> void writeln(Ts&&... xs) { write(forward<Ts>(xs)...); (_outputBuffer[_outputPtr == 4096 ? (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0) : _outputPtr] = ('\n'), _outputPtr++); } void flush() { do { (fwrite(_outputBuffer, 1, _outputPtr, stdout), _outputPtr = 0); fflush(stdout); } while (0); } class IOManager { public: ~IOManager() { flush(); } }; unique_ptr<IOManager> _iomanager; int N, Q; long long A[(1 << 19)]; int main() { _iomanager.reset(new IOManager()); do { _precision = (9); _precisionBase = 1; for (int _i = 0; _i < (9); _i++, _precisionBase *= 10) ; } while (0); read(N, Q); int NN = 1 << N; long long sum = 0; for (auto i = (0); i < (NN); i++) { read(A[i]); sum += A[i]; } writeln(double(sum) / NN); int z; long long g; for (auto i = (0); i < (Q); i++) { read(z, g); sum += g - A[z]; A[z] = g; writeln(double(sum) / NN); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> using min_queue = priority_queue<T, vector<T>, greater<T>>; template <typename Args> void kill(Args args) { cout << args << "\n"; exit(0); } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const double PI = acos(-1); const long long MOD = 1000000007; const int INF = 0x3f3f3f3f; const long long LLINF = 0x3f3f3f3f3f3f3f3f; const int N = 1 << 19; long double arr[N]; int n, r; void solve(int testnum) { cin >> n >> r; long double mul = 1 << n; long double sum = 0; for (int i = 0; i < (1 << n); i++) { cin >> arr[i]; sum += arr[i]; } cout << sum / mul << "\n"; for (int i = 1; i <= r; i++) { int g; long double x; cin >> g >> x; sum -= arr[g]; sum += x; arr[g] = x; cout << sum / mul << "\n"; } } void precompute() {} int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cout << fixed << setprecision(12); int testcase = 1; clock_t zzzx = clock(); precompute(); for (int i = 1; i <= testcase; i++) { solve(i); } double elapsed_time = (double)(clock() - zzzx) / CLOCKS_PER_SEC; cerr << "elapsed_time" << " = " << (elapsed_time) << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(12); int n, r; cin >> n >> r; int sz = (1 << n); int c[sz]; long long sum = 0; for (int i = 0; i < sz; i++) { cin >> c[i]; sum += c[i]; } double ans = (1.0 * sum) / sz; cout << ans << "\n"; while (r--) { int z, g; cin >> z >> g; sum += g; sum -= c[z]; cout << (1.0 * sum) / sz << "\n"; c[z] = g; } return 0; }