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#include <bits/stdc++.h> using namespace std; const double PI = acos(-1); const double eps = 1e-9; const int inf = 2000000000; const long long int infLL = 90000000000000000; const int MOD = 1000000007; int MOD1 = 1000000007; int MOD2 = 1000000009; inline bool checkBit(long long int n, long long int i) { return n & (1LL << i); } inline long long int setBit(long long int n, long long int i) { return n | (1LL << i); ; } inline long long int resetBit(long long int n, long long int i) { return n & (~(1LL << i)); } int dx[] = {0, 0, +1, -1}; int dy[] = {+1, -1, 0, 0}; inline bool EQ(double a, double b) { return fabs(a - b) < 1e-9; } inline bool isLeapYear(long long int year) { return (year % 400 == 0) || (year % 4 == 0 && year % 100 != 0); } inline void normal(long long int &a) { a %= MOD; (a < 0) && (a += MOD); } inline long long int modMul(long long int a, long long int b) { a %= MOD, b %= MOD; normal(a), normal(b); return (a * b) % MOD; } inline long long int modAdd(long long int a, long long int b) { a %= MOD, b %= MOD; normal(a), normal(b); return (a + b) % MOD; } inline long long int modSub(long long int a, long long int b) { a %= MOD, b %= MOD; normal(a), normal(b); a -= b; normal(a); return a; } inline long long int modPow(long long int b, long long int p) { long long int r = 1LL; while (p) { if (p & 1) r = modMul(r, b); b = modMul(b, b); p >>= 1LL; } return r; } inline long long int modDiv(long long int a, long long int b) { return modMul(a, modPow(b, MOD - 2)); } long long int converter(string a) { long long int i, mul = 1, r, t, ans = 0LL; if (a.length() == 0) return 0; for (i = a.length() - 1; i >= 0; i--) { t = a[i] - '0'; r = t % 10; ans += (mul * r); mul = mul * 10; } return ans; } set<long long int> s; set<long long int>::iterator it, pr; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; long long int i, n, m, ans = 0LL, sum = 0LL, val, l, r, temp, left, right, flag = 0LL, k, a; cin >> n >> k >> a >> m; long long int total = (n + 1) / (a + 1); for (i = 1; i <= m && !flag; i++) { cin >> val; it = s.lower_bound(val); l = 0, r = n + 1; if (it != s.begin()) { pr = it; pr--; l = *pr; } if (it != s.end()) r = *it; temp = abs(r - l) / (a + 1); left = abs(r - val) / (a + 1); right = abs(val - l) / (a + 1); total = total + left + right - temp; if (total < k) { ans = i; flag = 1; } s.insert(val); ; } if (!flag) { cout << "-1" << '\n'; return 0; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, k, a; long long used[200010]; long long mini = 1e9; int main() { cin >> n >> k >> a >> m; long long arr[m]; for (long long i = 0; i < m; i++) { cin >> arr[i]; } long long left = 0; long long right = m - 1; long long mid; while (left <= right) { for (long long i = 1; i <= n; i++) { used[i] = 0; } mid = left + (right - left) / 2; used[arr[mid]] = 1; for (long long i = 0; i <= mid; i++) { used[arr[i]] = 1; } long long cnt = 0; long long ok = 0; int ko = 0; for (long long i = 1; i <= n; i++) { if (used[i] == 0) { cnt++; if (cnt == a) { cnt = 0; ok++; i++; } } else { ko++; cnt = 0; } } if (ok < k) { right = mid - 1; mini = min(mid + 1, mini); } else { left = mid + 1; } } if (mini == 1e9) { cout << -1 << endl; } else { cout << mini << endl; } }
#include <bits/stdc++.h> using namespace std; template <class T> inline T bigmod(T p, T e, T M) { long long int ret = 1; for (; e > 0; e >>= 1) { if (e & 1) ret = (ret * p) % M; p = (p * p) % M; } return (T)ret; } template <class T> inline T gcd(T a, T b) { if (b == 0) return a; return gcd(b, a % b); } template <class T> inline T modinverse(T a, T M) { return bigmod(a, M - 2, M); } template <class T> inline T bpow(T p, T e) { long long int ret = 1; for (; e > 0; e >>= 1) { if (e & 1) ret = (ret * p); p = (p * p); } return (T)ret; } int toInt(string s) { int sm; stringstream ss(s); ss >> sm; return sm; } int toLlint(string s) { long long int sm; stringstream ss(s); ss >> sm; return sm; } int p[200005], a[200005], fr[200005]; int qr[200005]; bool b[200005]; int n, m, s, q; int findp(int x) { if (p[x] == x) return x; return p[x] = findp(p[x]); } int main() { int t, i, j, k, sm = 0; scanf("%d%d%d%d", &n, &m, &s, &q); for (i = 0; i < q; i++) { scanf("%d", &qr[i]); b[qr[i]] = 1; } int lst = 0, x, y; a[lst] = 0; p[0] = 0; for (i = 1; i <= n; i++) { if (b[i] == 1) { fr[lst] = (a[lst] + 1) / (s + 1); sm += fr[lst]; p[i] = lst = i; a[lst] = 0; } else p[i] = lst, a[lst]++; } fr[lst] = (a[lst] + 1) / (s + 1); sm += fr[lst]; if (sm >= m) { printf("-1\n"); return 0; } for (i = q - 1; i > -1; i--) { y = findp(qr[i]); x = findp(y - 1); sm -= fr[y]; sm -= fr[x]; a[x] += a[y] + 1; fr[x] = (a[x] + 1) / (s + 1); sm += fr[x]; p[y] = x; if (sm >= m) { printf("%d\n", i + 1); return 0; } } printf("-1\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2 * 1e5 + 1; int n, A, k, a[maxn], b[maxn]; int slove(int x) { for (int i = 1; i <= x; i++) b[i] = a[i]; sort(b + 1, b + x + 1); int i, l = 1, cou = 0; for (i = 1; i <= x; i++) { int w = (b[i] - l + 1) / (A + 1); cou += w; l = b[i] + 1; } cou += (n - l + 1 + 1) / (A + 1); if (cou >= k) return 1; return 0; } int main() { int ans, m; while (scanf("%d%d%d", &n, &k, &A) != EOF) { ans = 0x3f3f3f3f; scanf("%d", &m); for (int i = 1; i <= m; i++) scanf("%d", &a[i]); int l = 1, r = m; while (l <= r) { int mid = (l + r) / 2; if (slove(mid)) l = mid + 1; else r = mid - 1, ans = min(ans, mid); } if (ans == 0x3f3f3f3f) printf("-1\n"); else printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 10; int f[N], c[N]; int n, k, a; int ans, l, r; int m; bool check(int x) { memset(f, 0, sizeof f); int cnt = 0; f[++cnt] = 0; for (int i(1); i <= (x); ++i) f[++cnt] = c[i]; f[++cnt] = n + 1; sort(f + 1, f + cnt + 1); int now = 0; for (int i(1); i <= (cnt - 1); ++i) now += (f[i + 1] - f[i]) / (a + 1); return now >= k; } int main() { scanf("%d%d%d", &n, &k, &a); scanf("%d", &m); for (int i(1); i <= (m); ++i) scanf("%d", c + i); if (check(m)) return 0 * puts("-1"); l = 1, r = m; while (l + 1 < r) { int mid = (l + r) >> 1; if (check(mid)) l = mid + 1; else r = mid; } if (check(l)) ans = r; else ans = l; printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, k, sum; struct zz { int val, id; } a[200005]; bool cmp(zz x, zz y) { return x.val < y.val; } bool Check(int x) { int tot = 0, l = 0; for (int i = 1; i <= m; i++) { if (a[i].id <= x) { tot += (a[i].val - l) / (sum + 1); l = a[i].val; } } tot += (n - l + 1) / (sum + 1); return k <= tot; } int main() { cin >> n >> k >> sum; cin >> m; for (int i = 1; i <= m; i++) { scanf("%d", &a[i].val); a[i].id = i; } sort(a + 1, a + m + 1, cmp); int l = 1, r = m; int ans = -1; while (l <= r) { int mid = (l + r) >> 1; if (!Check(mid)) r = mid - 1, ans = mid; else l = mid + 1; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; set<int> str; int main() { int n, k, a; cin >> n >> k >> a; int m; cin >> m; str.insert(0); str.insert(n + 1); int cn = (n + 1) / (a + 1); int ret = -1; for (int i = 0; i < m; i++) { int x; scanf("%d", &x); if (ret != -1) continue; set<int>::iterator ithg = str.upper_bound(x); set<int>::iterator itlb = --ithg; ithg++; cn = cn - (((*ithg) - 1) - ((*itlb) + 1) + 2) / (a + 1); cn = cn + (((*ithg) - 1) - (x + 1) + 2) / (a + 1) + ((x - 1) - ((*itlb) + 1) + 2) / (a + 1); str.insert(x); if (cn < k && ret == -1) ret = i + 1; } cout << ret << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 300000; int n, k, a, m, ships; set<pair<int, int> > xs; int calc(int l, int r) { return (r - l + 2) / (a + 1); } int main() { scanf("%d %d %d %d", &n, &k, &a, &m); xs.insert(make_pair(n, 1)); ships = calc(1, n); for (int i = 0; i < int(m); i++) { int x, newk1 = 0, newk2 = 0; scanf("%d", &x); auto it = xs.lower_bound(make_pair(x, -1)); int l = it->second, r = it->first; if (x - 1 >= l) newk1 = calc(l, x - 1); if (x + 1 <= r) newk2 = calc(x + 1, r); ships -= calc(l, r); ships += newk1 + newk2; if (ships < k) { printf("%d\n", i + 1); return 0; } xs.erase(it); if (x - 1 >= l) xs.insert(make_pair(x - 1, l)); if (x + 1 <= r) xs.insert(make_pair(r, x + 1)); } printf("-1\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 201000; int arr[maxn]; set<int> S; set<int>::iterator it; set<int>::iterator itb; set<int>::iterator ite; int main() { int n, k, a; cin >> n >> k >> a; int m; cin >> m; for (int i = 1; i <= m; i++) cin >> arr[i]; S.insert(0); S.insert(n + 1); int can = (n + 1) / (a + 1); int chek = -1; for (int i = 1; i <= m; i++) { if (S.find(arr[i]) != S.end()) continue; S.insert(arr[i]); it = S.find(arr[i]); it--; itb = it; it++, it++; ite = it; it--; can += (*it - *itb) / (a + 1); can += (*ite - *it) / (a + 1); can -= (*ite - *itb) / (a + 1); if (can < k) { chek = i; break; } } cout << chek << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, a, res = -1; bool off = false; scanf("%d %d %d", &n, &k, &a); int m; scanf("%d", &m); set<pair<int, int> > intv; intv.insert(make_pair(n, 1)); int num = (n + 1) / (a + 1); for (int i = 1; i <= m; i++) { int b; scanf("%d", &b); set<pair<int, int> >::iterator p = intv.lower_bound(make_pair(b, 0)); int l = p->second; int r = p->first; num -= (r - l + 2) / (a + 1); intv.erase(make_pair(r, l)); if (b > l) { intv.insert(make_pair(b - 1, l)); num += (b - l + 1) / (a + 1); } if (b < r) { intv.insert(make_pair(r, b + 1)); num += (r - b + 1) / (a + 1); } if (num < k && !off) { res = i; off = true; } } printf("%d\n", res); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k, c, m, x, mx = 0; cin >> n >> k >> c >> m; mx = (n + 1) / (c + 1); set<int> s; s.insert(0), s.insert(n + 1); for (int i = 0; i < m; i++) { int a, b; set<int>::iterator A, B; cin >> x; A = s.lower_bound(x); A--; B = s.upper_bound(x); a = *A; a++; b = *B; b--; mx -= ((b - a + 2) / (c + 1)) - ((b - x + 1) / (c + 1) + (x - a + 1) / (c + 1)); if (mx < k) return cout << i + 1 << endl, 0; s.insert(x); } cout << -1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; int main() { int N, n, k, m, x; scanf("%d %d %d %d", &N, &k, &n, &m); set<int> st; st.insert(0); st.insert(N + 1); int sets = (N + 1) / (n + 1); for (int i = 1; i <= m; ++i) { scanf("%d", &x); auto up = st.upper_bound(x); auto lw = --st.upper_bound(x); int tmp = (*up - *lw) / (n + 1); sets -= tmp; sets += ((*up - x) / (n + 1) + (x - *lw) / (n + 1)); if (sets < k) { printf("%d", i); return 0; } st.insert(x); } printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const int INF = 1 << 30; const ll LINF = 1LL << 60; int calc(pair<int, int> p, int a) { int len = p.second - p.first + 1; return (len + 1) / (a + 1); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, k, a, m; cin >> n >> k >> a >> m; vector<int> x(m); for (int i = 0; i < m; i++) cin >> x[i]; set<pair<int, int>> seg; seg.insert({1, n}); int sum = calc({1, n}, a); for (int i = 0; i < m; i++) { pair<int, int> p = *prev(seg.upper_bound({x[i], INF})); if (p.first == p.second) { sum -= calc(p, a); seg.erase(p); if (sum < k) { cout << i + 1 << endl; return 0; } continue; } sum -= calc(p, a); if (p.first == x[i]) { pair<int, int> q = {p.first + 1, p.second}; sum += calc(q, a); seg.insert(q); } else if (p.second == x[i]) { pair<int, int> q = {p.first, p.second - 1}; sum += calc(q, a); seg.insert(q); } else { pair<int, int> q = {p.first, x[i] - 1}; pair<int, int> r = {x[i] + 1, p.second}; sum += calc(q, a); sum += calc(r, a); seg.insert(q); seg.insert(r); } seg.erase(p); if (sum < k) { cout << i + 1 << endl; return 0; } } cout << -1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; set<int> S; set<int>::iterator it; int main() { int n, k, a, m, x; scanf("%d%d%d", &n, &k, &a); int rest = (n + 1) / (a + 1); scanf("%d", &m); S.insert(0); S.insert(n + 1); int flag = -1; for (int i = 1; i <= m && flag == -1; i++) { scanf("%d", &x); S.insert(x); it = S.lower_bound(x); it--; int l = *it; it = S.upper_bound(x); int r = *it; rest -= (r - l) / (a + 1); rest += (r - x) / (a + 1); rest += (x - l) / (a + 1); if (rest < k) flag = i; } printf("%d\n", flag); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma") #pragma GCC optimize("unroll-loops") using namespace std; long long MOD = 998244353; double eps = 1e-12; long long myceil(long long a, long long b) { if (a % b == 0) return a / b; else return a / b + 1; } bool isPerSquare(long double a) { if (a < 0) return false; long long sr = sqrt(a); return (sr * sr == a); } long long arr1[200002]; long long arr2[200002]; long long arr2D[1001][1001]; vector<long long> vec; long long getval(pair<long long, long long> p, long long a) { if (p.first == -1) return 0; return (p.second - p.first + 2) / (a + 1); } void solve() { long long n, m, a, b, c, k; string s; cin >> n >> k >> a; cin >> m; for (long long i = 0; i < m; i++) cin >> arr1[i]; set<pair<long long, long long>> unoccupied; unoccupied.insert({1, n}); long long maxposs = (n + 1) / (a + 1); for (long long i = 0; i < m; i++) { pair<long long, long long> findgap = *prev(unoccupied.upper_bound({arr1[i], arr1[i]})); if ((*unoccupied.upper_bound({arr1[i], arr1[i]})).first == arr1[i]) { findgap = *unoccupied.upper_bound({arr1[i], arr1[i]}); } maxposs -= getval(findgap, a); unoccupied.erase(findgap); pair<long long, long long> leftgap = {-1, -1}, rightgap = {-1, -1}; if (findgap.first <= (arr1[i] - 1)) leftgap = {findgap.first, arr1[i] - 1}; if (findgap.second >= (arr1[i] + 1)) rightgap = {arr1[i] + 1, findgap.second}; long long newval = maxposs + getval(leftgap, a) + getval(rightgap, a); if (newval < k) { cout << i + 1 << endl; return; } unoccupied.insert(leftgap); unoccupied.insert(rightgap); maxposs = newval; } cout << -1 << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long t = 1; for (int it = 1; it <= t; it++) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; set<int> s; int n, k, a, m; int main() { cin >> n >> k >> a; cin >> m; s.clear(); s.insert(0); s.insert(n + 1); int tp = (n + 1) / (a + 1), pos = 0; bool fl = false; for (int i = 1; i <= m; i++) { pos = i; int x; cin >> x; set<int>::iterator v; v = s.lower_bound(x); int r = *v; v--; int l = *v; tp = tp - (r - l) / (a + 1) + (x - l) / (a + 1) + (r - x) / (a + 1); if (tp < k) { fl = true; break; } s.insert(x); } if (fl) cout << pos; else cout << -1; return 0; }
#include <bits/stdc++.h> using namespace std; int roundpow2(int x) { int y = 1; while (y < x) { y *= 2; } return y; } class SegmentTree { private: vector<pair<int, int>> tree; int sz; void push(int i) { if (tree[i] != make_pair(-1, -1)) { tree[i * 2 + 1] = tree[i]; tree[i * 2 + 2] = tree[i]; tree[i] = make_pair(-1, -1); } } pair<int, int> query(int i, int tl, int tr, int index) { if (tl == tr - 1) { return tree[i]; } push(i); int tm = (tl + tr) / 2; if (index < tm) { return query(2 * i + 1, tl, tm, index); } else { return query(2 * i + 2, tm, tr, index); } } void update(int i, int tl, int tr, int l, int r, pair<int, int> val) { if (l >= tr || r <= tl) { return; } if (l <= tl && tr <= r) { tree[i] = val; return; } if (tl == tr - 1) { return; } push(i); int tm = (tl + tr) / 2; update(i * 2 + 1, tl, tm, l, r, val); update(i * 2 + 2, tm, tr, l, r, val); } public: SegmentTree(int n) { sz = roundpow2(n); tree.resize(2 * sz, make_pair(-1, -1)); for (int i = n - 1; i < 2 * n - 1; i++) { tree[i] = make_pair(0, n - 1); } } pair<int, int> query(int index) { return query(0, 0, sz, index); } void update(int l, int r, pair<int, int> val) { update(0, 0, sz, l, r + 1, val); } }; int n, k, a; int m; int func(int l, int r) { return (r - l + 2) / (a + 1); } int main() { cin >> n >> k >> a >> m; SegmentTree tree(n); int p = func(0, n - 1); int ans = -1; for (int i = 0; i < m; i++) { int x; cin >> x; x--; pair<int, int> v = tree.query(x); int l = v.first; int r = v.second; p -= func(l, r); p += func(l, x - 1); p += func(x + 1, r); tree.update(l, x - 1, make_pair(l, x - 1)); tree.update(x + 1, r, make_pair(x + 1, r)); if (p < k && ans == -1) { ans = i + 1; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> section; map<int, int> maps; int main() { int n, k, a, m, point; scanf("%d%d%d", &n, &k, &a); scanf("%d", &m); maps[0] = 0; maps[n + 1] = 0; int can = (n + 1) / (a + 1); map<int, int>::iterator myit; map<int, int>::iterator myit2; for (int i = 1; i <= m; i++) { scanf("%d", &point); myit = maps.lower_bound(point); myit2 = myit; myit--; maps[point] = 0; int dist = myit2->first - myit->first; int dist1 = (point - myit->first); int dist2 = (myit2->first - point); can -= dist / (a + 1); can += dist1 / (a + 1); can += dist2 / (a + 1); if (can < k) { printf("%d\n", i); return 0; } } printf("%d\n", -1); return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; const long double pi = 3.14159265358979323846264338327950288419716939937510; long long po(long long a, long long b) { long long res = 1 % mod; a %= mod; for (; b; b >>= 1) { if (b & (1LL)) res = res * a % mod; a = a * a % mod; } return res; } const long double eps = 1e-10; const int oo = 1000000009; const long long ooo = 2e18 + 5; int n, k, a; int q; vector<int> Q; int battel[200009]; bool isLied(int x) { memset(battel, 0, sizeof(battel)); for (int i = 0; i <= x; i++) battel[Q[i]]++; int K, A; K = k, A = a; for (int i = 1; i <= n; i++) { if (battel[i]) A = a; else A--; if (A == 0) { A = a; i++; K--; } if (K == 0) return false; } if (K == 0) return false; return true; } int main() { scanf("%d %d %d\n", &n, &k, &a); scanf("%d", &q); Q.resize(q); for (int i = 0; i < q; i++) { scanf("%d", &Q[i]); } int low = 0, high = q - 1, ans = -1; while (low <= high) { int mid = low + (high - low) / 2; if (isLied(mid)) { ans = mid; high = mid - 1; } else low = mid + 1; } if (ans == -1) cout << ans; else cout << ans + 1; return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> void read(T &a) { static char c; static int fh; while (((c = getchar()) < '0' | c > '9') && c != '-') ; if (c == '-') fh = -1, a = 0; else fh = 1, a = c - '0'; while ((c = getchar()) <= '9' && c >= '0') a = (a << 3) + (a << 1) + c - '0'; a = a * fh; } template <class T> void write(T a) { if (a == 0) putchar('0'); else { if (a < 0) putchar('-'), a = -a; static char c[30]; static int c0; c0 = 0; while (a) c[++c0] = a % 10 + '0', a /= 10; while (c0) putchar(c[c0--]); } } long int steps[200005]; map<long int, long int> m; map<long int, long int>::iterator it; int main() { long int n, k, a; read(n); read(k); read(a); long int q, i; read(q); for (i = 0; i < q; i++) read(steps[i]); m[1] = n; long int cnt = 0, s, mid, lo, hi; s = n; if (s / a > 0) cnt += (s + 1) / (a + 1); for (i = 0; i < q; i++) { mid = steps[i]; it = m.upper_bound(mid); if (it != m.begin()) it--; lo = it->first; hi = it->second; m.erase(it); s = hi - lo + 1; if (s / a > 0) cnt -= (s + 1) / (a + 1); s = mid - lo; if (s / a > 0) cnt += (s + 1) / (a + 1); m[lo] = mid - 1; s = hi - (mid + 1) + 1; if (s / a > 0) cnt += (s + 1) / (a + 1); m[mid + 1] = hi; if (cnt < k) { cout << i + 1 << endl; return 0; } } cout << "-1" << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int N, K, A, M; int Array[200005]; int V[200005]; set<pair<int, int> > S; void Read() { cin >> N >> K >> A >> M; for (int i = 1; i <= N; i++) V[i] = 1; for (int i = 1; i <= M; i++) cin >> Array[i]; } int binSearch(int left, int poz) { int right = poz, sol = poz + 1, mid; while (left <= right) { mid = (left + right) / 2; if (V[mid] == 1) { sol = mid; right = mid - 1; } else left = mid + 1; } return sol; } void Solve() { int total = (N + 1) / (A + 1); S.insert(make_pair(1, N)); for (int i = 1; i <= M; i++) { int val = Array[i]; if (V[Array[i]] == 0) continue; V[Array[i]] = 1; pair<int, int> p = make_pair(Array[i], N + 1); set<pair<int, int> >::iterator it = S.upper_bound(p); --it; p = *it; S.erase(p); total -= (p.second - p.first + 2) / (A + 1); total += (val - p.first + 1) / (A + 1); total += (p.second - val + 1) / (A + 1); if (val != p.first) S.insert(make_pair(p.first, val - 1)); if (val != p.second) S.insert(make_pair(val + 1, p.second)); if (total < K) { cout << i << "\n"; return; } } cout << "-1\n"; } int main() { Read(); Solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int Set(int N, int pos) { return N = N | (1 << pos); } int reset(int N, int pos) { return N = N & ~(1 << pos); } bool check(int N, int pos) { return (bool)(N & (1 << pos)); } void CI(int &_x) { scanf("%d", &_x); } void CO(int &_x) { cout << _x; } template <typename T> void getarray(T a[], int n) { for (int i = 0; i < n; i++) cin >> a[i]; } template <typename T> void printarray(T a[], int n) { for (int i = 0; i < n - 1; i++) cout << a[i] << " "; cout << a[n - 1] << endl; } const double EPS = 1e-9; const int INF = 0x7f7f7f7f; int dr8[8] = {1, -1, 0, 0, 1, -1, -1, 1}; int dc8[8] = {0, 0, -1, 1, 1, 1, -1, -1}; int dr4[4] = {0, 0, 1, -1}; int dc4[4] = {-1, 1, 0, 0}; int kn8r[8] = {1, 2, 2, 1, -1, -2, -2, -1}; int kn8c[8] = {2, 1, -1, -2, -2, -1, 1, 2}; int main() { int n, k, a; CI(n); CI(k); CI(a); set<pair<int, int> > S; S.insert(make_pair(1, n)); int maxi_boat = (n + 1) / (a + 1); set<pair<int, int> >::iterator it; int m; CI(m); for (int i = 1; i <= m; i++) { int shot_point; CI(shot_point); it = S.lower_bound(make_pair(shot_point, -1)); pair<int, int> temp = *it; if (it == S.end() || temp.first > shot_point) it--; temp = *it; maxi_boat -= (temp.second - temp.first + 2) / (a + 1); S.erase(it); pair<int, int> f_p, s_p; f_p = make_pair(temp.first, shot_point - 1); s_p = make_pair(shot_point + 1, temp.second); maxi_boat += (f_p.second - f_p.first + 2) / (a + 1); maxi_boat += (s_p.second - s_p.first + 2) / (a + 1); if (maxi_boat < k) { cout << i << "\n"; return 0; } S.insert(f_p); S.insert(s_p); } puts("-1"); }
#include <bits/stdc++.h> using namespace std; int n, k, a, m; int stone[200005]; int road[200005]; bool ok(int x) { memset(road, 0, sizeof road); for (int i = 1; i <= x; i++) road[stone[i]] = 1; int cnt = 0; int l = 0; for (int i = 1; i <= n; i++) { if (road[i] == 1) { l = 0; continue; } l++; if (l == a) { cnt++; l = -1; } } return cnt >= k; } int main() { ios_base::sync_with_stdio(0); cin >> n >> k >> a; cin >> m; for (int i = 1; i <= m; i++) cin >> stone[i]; int lo = 0, hi = m + 1; while (hi - lo > 1) { int mid = (lo + hi) / 2; if (ok(mid)) lo = mid; else hi = mid; } if (hi == m + 1) cout << -1 << '\n'; else cout << hi << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int tree[200010]; void update(int idx, int x, int n) { while (idx <= n) { tree[idx] += x; idx += idx & (-idx); } } int query(int idx) { if (idx <= 0) return 0; int sum = 0; while (idx > 0) { sum += tree[idx]; idx -= idx & (-idx); } return sum; } int n; int _search(int fx, int l, int r, int ck) { int mid, ret; while (l <= r) { mid = (l + r) / 2; if (ck == 1) { int qq = query(fx) - query(mid - 1); if (qq == 1) { ret = mid; l = mid + 1; } else if (qq > 1) { l = mid + 1; } else r = mid - 1; } else { int qq = query(mid) - query(fx - 1); if (qq == 1) { ret = mid; r = mid - 1; } else if (qq > 1) { r = mid - 1; } else l = mid + 1; } } return ret; } int main() { int k, a, m, i, id; scanf("%d %d %d", &n, &k, &a); update(1, 1, n + 2); update(n + 2, 1, n + 2); int z = a + 1; int ans = (n + 1) / z; scanf("%d", &m); for (i = 1; i <= m; i++) { scanf("%d", &id); int l = _search(id + 1, 0, id + 1, 1); int r = _search(id + 1, id + 1, n + 2, 2); ans = ans - ((r - l - 1 + 1) / z); ans += ((id + 1 - l - 1 + 1) / z) + ((r - id - 1 - 1 + 1) / z); update(id + 1, 1, n + 2); if (ans < k) { printf("%d\n", i); return 0; } } printf("-1"); }
#include <bits/stdc++.h> using namespace std; int n, a, k; int x[200030], xx[200030]; bool judge(int m) { for (int i = 1; i <= m; i++) xx[i] = x[i]; sort(xx + 1, xx + 1 + m); int ans = 0; xx[0] = 0; for (int i = 1; i <= m; i++) ans += (xx[i] - xx[i - 1]) / (a + 1); ans += (n - xx[m] + 1) / (a + 1); return ans < k; } int main() { int m; scanf("%d%d%d", &n, &k, &a); scanf("%d", &m); for (int i = 1; i <= m; i++) scanf("%d", x + i); int ans = 1 << 30; int l = 1, r = m, mid; while (l <= r) { mid = (l + r) >> 1; if (judge(mid)) ans = min(ans, mid), r = mid - 1; else l = mid + 1; } if (ans == (1 << 30)) ans = -1; printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int n, m, i, j, k, l, a[1000009], b[1000009], p[1000009], ans, cn, t, x, y, z, mx, mn, s, lo, hi, mid; char c[1000009], d[1000009], ch; int isvalid(int num) { memset(b, 0, sizeof(b)); b[0] = b[n + 1] = 1; for (int o = 0; o < num; o++) { b[a[o]] = 1; } int cnt = 0; int prev = 0; for (int o = 1; o <= n + 1; o++) { if (b[o] == 1) { int g = o - prev - 1; prev = o; int tmp = (g + 1) / (x + 1); cnt += tmp; } } if (cnt >= k) { return 1; } else { return 0; } } int main() { while (scanf("%d %d %d", &n, &k, &x) != EOF) { scanf("%d", &m); for (i = 0; i < m; i++) { scanf("%d", &a[i]); } lo = 1; hi = m; ans = m + 1; while (lo <= hi) { mid = (lo + hi) / 2; if (isvalid(mid) == 1) { lo = mid + 1; } else { ans = mid; hi = mid - 1; } } if (ans == m + 1) { ans = -1; } printf("%d\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_BUF_SIZE = 16384; char BUFOR[MAX_BUF_SIZE]; int BUF_SIZE, BUF_POS; char ZZZ; const int MXN = 6 * 50010; const int C = 262144; const int INF = 1000000001; namespace SAT2 { vector<int> G[MXN], GT[MXN], H[MXN], vert[MXN]; int pre[MXN], skl[MXN]; vector<int> fu; class SAT2 { SAT2() {} int n, czas, skla; int neg(int v1) { return (v1 + n) % (2 * n); } void addEdge(int v1, int v2) { G[neg(v1)].push_back(v2); GT[v2].push_back(neg(v1)); G[neg(v2)].push_back(v1); GT[v1].push_back(neg(v2)); } void dfs(int x) { pre[x] = ++czas; for (__typeof((G[x]).begin()) it = ((G[x]).begin()); it != (G[x]).end(); ++it) if (!pre[*it]) dfs(*it); fu.push_back(x); } void dfs2(int x) { skl[x] = skla; vert[skla].push_back(x); for (__typeof((GT[x]).begin()) it = ((GT[x]).begin()); it != (GT[x]).end(); ++it) if (!skl[*it]) dfs2(*it); } void dfs3(int x) { pre[x] = 1; for (__typeof((H[x]).begin()) it = ((H[x]).begin()); it != (H[x]).end(); ++it) if (!pre[*it]) dfs3(*it); fu.push_back(x); } void clear() { fu.clear(); for (int i = (0); i <= (2 * n); i++) pre[i] = skl[i] = 0; for (int i = (0); i <= (2 * n); i++) { G[i].clear(); GT[i].clear(); vert[i].clear(); H[i].clear(); } } public: SAT2(int _n) { czas = 0; skla = 0; n = _n; } void add(int v1, bool pos1, int v2, bool pos2) { addEdge((pos1 ? neg(v1) : v1), (pos2 ? neg(v2) : v2)); } pair<bool, vector<bool> > solve() { for (int i = (0); i <= (2 * n - 1); i++) if (!pre[i]) dfs(i); for (int i = ((int)(fu).size() - 1); i >= (0); i--) { int w = fu[i]; if (!skl[w]) { skla++; dfs2(w); } } skla++; for (int i = (0); i <= (n - 1); i++) if (skl[i] == skl[i + n]) { clear(); return make_pair(false, vector<bool>()); } for (int i = (0); i <= (2 * n - 1); i++) { for (__typeof((G[i]).begin()) it = ((G[i]).begin()); it != (G[i]).end(); ++it) H[skl[i]].push_back(skl[*it]); } fu.clear(); for (int i = (0); i <= (skla); i++) pre[i] = 0; for (int i = (0); i <= (skla - 1); i++) if (!pre[i]) dfs3(i); vector<bool> res(2 * n, 0); vector<int> tmp(skla + 1, -1); for (int i = ((int)(fu).size() - 1); i >= (0); i--) { int w = fu[i]; if (tmp[w] == -1) tmp[w] = 0; if (tmp[w] == 1) for (__typeof((H[w]).begin()) it = ((H[w]).begin()); it != (H[w]).end(); ++it) tmp[*it] = 1; for (__typeof((vert[w]).begin()) it = ((vert[w]).begin()); it != (vert[w]).end(); ++it) { tmp[skl[neg(*it)]] = !tmp[w]; res[*it] = tmp[w]; res[neg(*it)] = !tmp[w]; } } clear(); return make_pair(true, res); } }; } // namespace SAT2 int n2, m; vector<pair<int, pair<int, int> > > G2[MXN]; int c[MXN], t[MXN]; pair<bool, vector<bool> > check(int second) { SAT2::SAT2 SAT(3 * m); for (int i = (0); i <= (m - 1); i++) if (t[i] > second) SAT.add(i, 1, i, 1); for (int i = (1); i <= (n2); i++) { for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) { int iter = j; while (iter < (int)(G2[i]).size() && G2[i][j].first == G2[i][iter].first) iter++; if (iter - j > 2) return make_pair(false, vector<bool>()); else if (iter - j == 2) SAT.add(G2[i][j].second.second, 0, G2[i][j + 1].second.second, 0); j = iter - 1; } int last = -1; for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) { int ei = G2[i][j].second.second; int pi = ei; if (i < G2[i][j].second.first) pi += m; else pi += 2 * m; SAT.add(pi, 1, ei, 1); if (last != -1) { SAT.add(ei, 1, last, 0); SAT.add(pi, 1, last, 0); } last = pi; } } return SAT.solve(); } void test() { scanf("%d %d", &n2, &m); int mx = 0; for (int i = (1); i <= (m); i++) { int a, b; scanf("%d %d %d %d", &a, &b, &c[i - 1], &t[i - 1]); mx = max(mx, t[i - 1]); G2[a].push_back(make_pair(c[i - 1], make_pair(b, i - 1))); G2[b].push_back(make_pair(c[i - 1], make_pair(a, i - 1))); } for (int i = (1); i <= (n2); i++) sort((G2[i]).begin(), (G2[i]).end()); int res = INF; int L = 0, R = mx; vector<bool> ans; while (L <= R) { int second = (L + R) / 2; pair<bool, vector<bool> > p1 = check(second); if (p1.first) { if (res > second) { res = second; ans = p1.second; } R = second - 1; } else L = second + 1; } if (res != INF) { printf("Yes\n"); int cnt = 0; for (int i = (0); i <= (m - 1); i++) if (ans[i]) cnt++; printf("%d %d\n", res, cnt); for (int i = (0); i <= (m - 1); i++) if (ans[i]) printf("%d ", i + 1); printf("\n"); } else printf("No\n"); } int main() { int te = 1; while (te--) test(); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1000 * 1000 * 1000 + 7; const int INF = 1e9 + 100; const long long LINF = 1e18 + 100; const int MAXN = 50100; const int MEM = 6 * MAXN; int n, m; int ef[MAXN], eto[MAXN], col[MAXN], tim[MAXN]; vector<int> ngb[MAXN]; int gn; vector<int> adj[MEM], rev[MEM]; int cnum[MEM], cn; bool mark[MEM], ans[MEM]; vector<int> stk; void dfs1(int v) { mark[v] = true; for (int u : adj[v]) if (!mark[u]) dfs1(u); stk.push_back(v); } void dfs2(int v) { mark[v] = true; cnum[v] = cn; for (int u : rev[v]) if (!mark[u]) dfs2(u); } inline int NOT(int x) { if (x > 2 * m) return (x % 2 ? x + 1 : x - 1); return (x > m ? x - m : x + m); } inline void addedge(int x, int y) { adj[x].push_back(y); rev[y].push_back(x); } inline void addcond(int x, int y) { addedge(NOT(x), y); addedge(NOT(y), x); } bool check(int x) { gn = 2 * m; for (int i = (0); i < (int)(MEM); i++) adj[i].clear(), rev[i].clear(); stk.clear(); memset(mark, 0, sizeof(mark)); memset(ans, 0, sizeof(ans)); memset(cnum, 0, sizeof(cnum)); cn = 0, gn = 2 * m; for (int v = (1); v < (int)(n + 1); v++) { if (ngb[v].empty()) continue; ; ; sort((ngb[v]).begin(), (ngb[v]).end(), [&](int x, int y) { return col[x] < col[y]; }); int ind = -1; for (int i = 0; i < (int)ngb[v].size();) { int j; for (j = i; j < (int)ngb[v].size() && col[ngb[v][i]] == col[ngb[v][j]]; j++) ; if (j - i > 2 || (j - i == 2 && ind >= 0)) return false; if (j - i == 2) ind = i; i = j; } if (ind >= 0) { addcond(ngb[v][ind], ngb[v][ind + 1]); } gn += 2; addcond(gn, NOT(ngb[v][0])); for (int i = (1); i < (int)((int)ngb[v].size()); i++) { gn += 2; addcond(NOT(gn - 2), gn); addcond(NOT(gn - 2), NOT(ngb[v][i])); addcond(gn, NOT(ngb[v][i])); }; ; } for (int i = (1); i < (int)(m + 1); i++) if (tim[i] > x) addcond(NOT(i), NOT(i)); for (int i = (1); i < (int)(gn + 1); i++) if (!mark[i]) dfs1(i); memset(mark, 0, sizeof(mark)); while (!stk.empty()) { int v = stk.back(); stk.pop_back(); if (!mark[v]) cn++, dfs2(v); }; ; for (int i = (1); i < (int)(gn + 1); i++) { if (cnum[i] == cnum[NOT(i)]) return false; else if (cnum[i] > cnum[NOT(i)]) ans[i] = 1; } return true; } int32_t main(void) { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; cin >> n >> m; for (int i = (1); i < (int)(m + 1); i++) { cin >> ef[i] >> eto[i] >> col[i] >> tim[i]; ngb[ef[i]].push_back(i); ngb[eto[i]].push_back(i); } int l = -1, r = INF; while (r - l > 1) { int mid = (r + l) / 2; if (check(mid)) r = mid; else l = mid; } if (r > 1e9 + 10) return cout << "No\n", 0; cout << "Yes\n"; check(r); vector<int> res; for (int i = (1); i < (int)(m + 1); i++) if (ans[i]) res.push_back(i); cout << r << ' ' << res.size() << '\n'; for (int u : res) cout << u << ' '; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 4e5 + 100; int n, m, U[MAXN], V[MAXN], c[MAXN], t[MAXN]; int res[MAXN]; map<int, int> mp; vector<int> adj[MAXN], in[MAXN], out[MAXN], vec; bool mark[MAXN], is[MAXN]; void dfs(int u) { mark[u] = true; for (int i = 0; i < out[u].size(); i++) { int v = out[u][i]; if (!mark[v]) dfs(v); } vec.push_back(u); } void dfs2(int u, int cc) { res[u] = cc; for (int i = 0; i < in[u].size(); i++) { int v = in[u][i]; if (res[v] == -1) dfs2(v, cc); } } inline void add_e(int a, int b) { out[a ^ 1].push_back(b); in[b].push_back(a ^ 1); out[b ^ 1].push_back(a); in[a].push_back(b ^ 1); } bool ok(int mid) { int C = m; for (int i = 0; i < MAXN; i++) { in[i].clear(), out[i].clear(); mark[i] = is[i] = 0; res[i] = -1; } vec.clear(); for (int i = 0; i < n; i++) { mp.clear(); int cur = -1; for (int j = 0; j < adj[i].size(); j++) { int id = adj[i][j]; if (cur == -1) cur = id; else { add_e(2 * cur + 1, 2 * id + 1); add_e(2 * cur + 1, 2 * C); add_e(2 * id + 1, 2 * C); cur = C; C++; } if (!mp[c[id]]) mp[c[id]] = id + 1; else if (mp[c[id]] == -1) return false; else add_e(2 * (mp[c[id]] - 1), 2 * id), mp[c[id]] = -1; } } for (int i = 0; i < m; i++) if (t[i] > mid) out[2 * i].push_back(2 * i + 1), in[2 * i + 1].push_back(2 * i); for (int i = 0; i < 2 * C; i++) if (!mark[i]) dfs(i); int cnt = 0; for (int i = 2 * C - 1; i >= 0; i--) { if (res[vec[i]] == -1) dfs2(vec[i], cnt++); } for (int i = 0; i < 2 * C; i += 2) { if (res[i] == res[i + 1]) return false; else if (res[i] > res[i + 1]) is[i / 2] = true; } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { cin >> U[i] >> V[i] >> c[i] >> t[i], V[i]--, U[i]--; adj[V[i]].push_back(i), adj[U[i]].push_back(i); } int l = 0, r = INT_MAX / 2 + 10; if (!ok(r)) return cout << "No" << endl, 0; while (r - l > 1) { int mid = (r + l) / 2; if (ok(mid)) r = mid; else l = mid; } if (r >= INT_MAX / 2 + 5) return cout << "No" << endl, 0; if (ok(0)) { cout << "Yes" << endl; cout << 0 << " " << 0 << endl; return 0; } ok(r); cout << "Yes" << endl; int ans = 0; for (int i = 0; i < m; i++) if (is[i]) ans++; cout << r << " " << ans << endl; for (int i = 0; i < m; i++) if (is[i]) cout << i + 1 << " "; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 50000; const int MAXV = 6 * MAXN; const int MAXE = 20 * MAXN; struct Graph { struct edge { int to; edge *nxt; } edges[MAXE + 5], *adj[MAXV + 5], *ecnt; Graph() { ecnt = edges; } void addedge(int u, int v) { edge *p = (++ecnt); p->to = v, p->nxt = adj[u], adj[u] = p; } } G1, G2; int n, m, cnt; struct edge { int u, v, c, t, id; edge() {} edge(int _u, int _v, int _c, int _t, int _id) : u(_u), v(_v), c(_c), t(_t), id(_id) {} } e[MAXN + 5]; bool cmp(const edge &a, const edge &b) { return a.t < b.t; } int dfn[MAXV + 5], low[MAXV + 5], id[MAXV + 5]; int stk[MAXV + 5], tp, dcnt, tot; void dfs(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool check(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs(i); for (int i = 0; i < m; i++) { if (id[i << 1] == id[i << 1 | 1]) return false; } return true; } vector<int> v1[MAXV + 5]; void dfs2(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs2(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { v1[tot].push_back(stk[tp]); id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool tag[MAXV + 5]; vector<int> ans; void print(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs2(i); for (int i = 1; i <= tot; i++) { for (int j = 0; j < (int)v1[i].size(); j++) { int x = v1[i][j]; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) if (tag[id[p->to]]) tag[i] = true; } if (!tag[i]) { for (int j = 0; j < (int)v1[i].size(); j++) if (v1[i][j] < 2 * m) tag[id[v1[i][j] ^ 1]] = true; } } for (int i = 0; i < m; i++) { if (tag[id[i << 1]]) ans.push_back(i + 1); } printf("%d\n", ans.size()); for (int i = 0; i < (int)ans.size(); i++) printf("%d ", ans[i]); } map<int, int> mp; vector<edge> vec[MAXN + 5]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v, c, t; scanf("%d%d%d%d", &u, &v, &c, &t); e[i] = edge(u, v, c, t, i); vec[u].push_back(e[i]), vec[v].push_back(e[i]); } cnt = 2 * m; for (int i = 1; i <= n; i++) { bool flag = false; mp.clear(); for (int j = 0; j < (int)vec[i].size(); j++) { if (mp.count(vec[i][j].c)) { if (flag) puts("No"), exit(0); else flag = true; int x = vec[i][j].id, y = mp[vec[i][j].c]; G1.addedge(x << 1, y << 1 | 1), G1.addedge(y << 1, x << 1 | 1); } else mp[vec[i][j].c] = vec[i][j].id; } if (vec[i].size() >= 2) { int lst = (vec[i][0].id << 1); for (int j = 1; j < (int)vec[i].size(); j++) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j + 1 == (int)vec[i].size()) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } lst = (vec[i][vec[i].size() - 1].id << 1); for (int j = (int)vec[i].size() - 2; j >= 0; j--) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j == 0) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } } } sort(e, e + m, cmp); if (!check(m - 1)) puts("No"), exit(0); else puts("Yes"); int le = -1, ri = m - 1; while (le < ri) { int mid = (le + ri) >> 1; if (check(mid)) ri = mid; else le = mid + 1; } printf("%d ", le == -1 ? 0 : e[le].t), print(le); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 5e5 + 5, inf = INT_MAX; int n, m, x[MAXN], y[MAXN], c[MAXN], t[MAXN], cmp[MAXN], cnt; vector<int> adj[MAXN], in[MAXN], out[MAXN], tmp; vector<pair<int, int>> es; map<pair<int, int>, int> e1, e2; bool mark[MAXN]; inline void add(int u, int v) { out[u].push_back(v); in[v].push_back(u); return; } void dfs(int v) { mark[v] = true; for (int u : out[v]) if (!mark[u]) dfs(u); tmp.push_back(v); return; } void dfs2(int v) { mark[v] = true; cmp[v] = cnt; for (int u : in[v]) if (!mark[u]) dfs2(u); return; } inline bool check(int w) { tmp.clear(); cnt = 0; for (int i = 0; i < MAXN; i++) { in[i].clear(); out[i].clear(); mark[i] = false; cmp[i] = 0; } for (int i = 0; i < m; i++) if (t[i] > w) add(i * 2 + 1, i * 2); for (auto i : es) { add(i.first * 2, i.second * 2 + 1); add(i.second * 2, i.first * 2 + 1); } int last = m, pre; for (int i = 0; i < n; i++) { if (adj[i].empty()) continue; pre = adj[i][0]; for (int j = 1; j < (int)adj[i].size(); j++) { int ind = adj[i][j]; add(pre * 2 + 1, last * 2 + 1); add(last * 2, pre * 2); add(ind * 2 + 1, last * 2 + 1); add(last * 2, ind * 2); add(pre * 2 + 1, ind * 2); add(ind * 2 + 1, pre * 2); pre = last; last++; } } for (int i = 0; i < last * 2; i++) if (!mark[i]) dfs(i); for (int i = 0; i < MAXN; i++) mark[i] = 0; reverse(tmp.begin(), tmp.end()); for (int v : tmp) if (!mark[v]) { cnt++; dfs2(v); } for (int i = 0; i < last; i++) if (cmp[i * 2] == cmp[i * 2 + 1]) return false; return true; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { cin >> x[i] >> y[i] >> c[i] >> t[i]; x[i]--; y[i]--; adj[x[i]].push_back(i); adj[y[i]].push_back(i); if (e2[{c[i], x[i]}] || e2[{c[i], y[i]}]) { cout << "No" << endl; return 0; } swap(e1[{c[i], x[i]}], e2[{c[i], x[i]}]); e1[{c[i], x[i]}] = i + 1; swap(e1[{c[i], y[i]}], e2[{c[i], y[i]}]); e1[{c[i], y[i]}] = i + 1; if (e2[{c[i], x[i]}]) es.push_back({e1[{c[i], x[i]}] - 1, e2[{c[i], x[i]}] - 1}); if (e2[{c[i], y[i]}]) es.push_back({e1[{c[i], y[i]}] - 1, e2[{c[i], y[i]}] - 1}); } if (!check(inf)) { cout << "No" << endl; return 0; } int l = -1, r = inf; while (l + 1 < r) { int mid = (l + r) / 2; if (check(mid)) r = mid; else l = mid; } check(r); vector<int> ans; for (int i = 0; i < m; i++) if (cmp[i * 2] < cmp[i * 2 + 1]) ans.push_back(i + 1); cout << "Yes" << endl << r << " " << (int)ans.size() << endl; for (int i : ans) cout << i << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 50000; const int MAXV = 6 * MAXN; const int MAXE = 20 * MAXN; struct Graph { struct edge { int to; edge *nxt; } edges[MAXE + 5], *adj[MAXV + 5], *ecnt; Graph() { ecnt = edges; } void addedge(int u, int v) { edge *p = (++ecnt); p->to = v, p->nxt = adj[u], adj[u] = p; } } G1, G2; int n, m, cnt; struct edge { int u, v, c, t, id; edge() {} edge(int _u, int _v, int _c, int _t, int _id) : u(_u), v(_v), c(_c), t(_t), id(_id) {} } e[MAXN + 5]; bool cmp(const edge &a, const edge &b) { return a.t < b.t; } int dfn[MAXV + 5], low[MAXV + 5], id[MAXV + 5]; int stk[MAXV + 5], tp, dcnt, tot; void dfs(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool check(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs(i); for (int i = 0; i < m; i++) { if (id[i << 1] == id[i << 1 | 1]) return false; } return true; } vector<int> v1[MAXV + 5]; void dfs2(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs2(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { v1[tot].push_back(stk[tp]); id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool tag[MAXV + 5]; vector<int> ans; void print(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs2(i); for (int i = 1; i <= tot; i++) { for (int j = 0; j < (int)v1[i].size(); j++) { int x = v1[i][j]; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) if (tag[id[p->to]]) tag[i] = true; } if (!tag[i]) { for (int j = 0; j < (int)v1[i].size(); j++) if (v1[i][j] < 2 * m) tag[id[v1[i][j] ^ 1]] = true; } } for (int i = 0; i < m; i++) { if (tag[id[i << 1]]) ans.push_back(i + 1); } printf("%d\n", ans.size()); for (int i = 0; i < (int)ans.size(); i++) printf("%d ", ans[i]); } map<int, int> mp; vector<edge> vec[MAXN + 5]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v, c, t; scanf("%d%d%d%d", &u, &v, &c, &t); e[i] = edge(u, v, c, t, i); vec[u].push_back(e[i]), vec[v].push_back(e[i]); } cnt = 2 * m; for (int i = 1; i <= n; i++) { bool flag = false; mp.clear(); for (int j = 0; j < (int)vec[i].size(); j++) { if (mp.count(vec[i][j].c)) { if (flag) puts("No"), exit(0); else flag = true; int x = vec[i][j].id, y = mp[vec[i][j].c]; G1.addedge(x << 1, y << 1 | 1), G1.addedge(y << 1, x << 1 | 1); } else mp[vec[i][j].c] = vec[i][j].id; } if (vec[i].size() >= 2) { int lst = (vec[i][0].id << 1); for (int j = 1; j < (int)vec[i].size(); j++) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j + 1 == (int)vec[i].size()) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } lst = (vec[i][vec[i].size() - 1].id << 1); for (int j = (int)vec[i].size() - 2; j >= 0; j--) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j == 0) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } } } sort(e, e + m, cmp); if (!check(m - 1)) puts("No"), exit(0); else puts("Yes"); int le = -1, ri = m - 1; while (le < ri) { int mid = (le + ri) >> 1; if (check(mid)) ri = mid; else le = mid + 1; } printf("%d ", le == -1 ? 0 : e[le].t), print(le); }
#include <bits/stdc++.h> using namespace std; namespace common { void exit() { cout << "No"; ::exit(0); } } // namespace common namespace graph { struct edge { int u, v, c, t; }; vector<edge> e; vector<int> g[50000]; void add_edge(int u, int v, int c, int t) { g[u].push_back(e.size()); g[v].push_back(e.size()); e.push_back({u, v, c, t}); } void init(int n, int m) { for (int i = 0; i < m; i++) { int u, v, c, t; cin >> u >> v >> c >> t; add_edge(u - 1, v - 1, c - 1, t); } for (int i = 0; i < n; i++) sort(g[i].begin(), g[i].end(), [](int a, int b) { return e[a].c < e[b].c; }); } } // namespace graph namespace two_sat { vector<int> g[300000]; } namespace tarjan { int dfn[300000], low[300000], index, com[300000], cnt; bool vis[300000], ins[300000]; stack<int> s; vector<int> ch[300000]; void _init() { memset(vis, 0x00, sizeof vis); index = cnt = 0; } void dfs(int u) { dfn[u] = low[u] = index++; vis[u] = ins[u] = true; s.push(u); for (int v : two_sat::g[u]) { if (!vis[v]) { dfs(v); low[u] = min(low[u], low[v]); } else if (ins[v]) low[u] = min(low[u], dfn[v]); } if (dfn[u] == low[u]) { int v; ch[cnt].clear(); do { v = s.top(); s.pop(); ins[v] = false; com[v] = cnt; ch[cnt].push_back(v); } while (u != v); cnt++; } } void solve(int n) { _init(); for (int i = 0; i < n; i++) if (!vis[i]) dfs(i); } } // namespace tarjan namespace two_sat { vector<int> ng[300000]; int in[300000], res[300000]; bool vis[50000]; void add_edge(int u, int v, bool fu, bool fv) { g[u * 2 + 1 - fu].push_back(v * 2 + 1 - fv); } void init(int n, int m) { for (int i = 0; i < n; i++) { bool flag = false; if (graph::g[i].empty()) continue; for (int j = 0; j < graph::g[i].size(); j++) { int x = graph::g[i][j]; int xx = vis[x] ? x + 2 * m : x + m; add_edge(x, xx, true, true); add_edge(xx, x, false, false); if (j == 0) continue; int y = graph::g[i][j - 1]; int yy = vis[y] ? y + 2 * m : y + m; vis[xx] = vis[yy] = true; if (graph::e[x].c == graph::e[y].c) if (flag) common::exit(); else { flag = true; add_edge(x, y, false, true); add_edge(y, x, false, true); } add_edge(yy, xx, true, true); add_edge(xx, yy, false, false); add_edge(yy, x, true, false); add_edge(x, yy, true, false); } for (int j : graph::g[i]) vis[j] = true; } } void _init(int n, int mid) { for (int i = 0; i < n; i++) ng[i].clear(); memset(in, 0x00, sizeof in); memset(res, 0xff, sizeof res); for (int i = 0; i < graph::e.size(); i++) if (graph::e[i].t > mid) two_sat::add_edge(i, i, true, false); } void _clean(int n) { for (int i = 0; i < n; i++) while (!g[i].empty() && g[i].back() == (i ^ 1)) two_sat::g[i].pop_back(); } bool check(int n, int mid) { using tarjan::ch; using tarjan::com; _init(n, mid); tarjan::solve(n); for (int i = 0; i < n / 2; i++) if (com[i * 2] == com[i * 2 + 1]) { _clean(n); return false; } for (int u = 0; u < n; u++) for (int v : g[u]) if (com[u] != com[v]) { ng[com[v]].push_back(com[u]); in[com[u]]++; } queue<int> q, nq; for (int i = 0; i < tarjan::cnt; i++) if (in[i] == 0) { q.push(i); for (int j : ch[i]) nq.push(j); } while (!q.empty()) { int u = q.front(); q.pop(); for (int v : ng[u]) if (--in[v] == 0) { q.push(v); for (int i : ch[v]) nq.push(i); } } while (!nq.empty()) { int x = nq.front(); nq.pop(); if (res[x] != -1) continue; for (int i : ch[com[x]]) res[i] = 1; x ^= 1; for (int i : ch[com[x]]) res[i] = 0; nq.push(com[x]); while (!q.empty()) { int u = q.front(); q.pop(); for (int v : ng[u]) if (res[ch[v][0]] == -1) { for (int i : ch[v]) res[i] = 0; q.push(v); } } } _clean(n); return true; } } // namespace two_sat int main() { ios::sync_with_stdio(false); int n, m; cin >> n >> m; graph::init(n, m); two_sat::init(n, m); int l = 0, r = 1e9, ans = -1; vector<int> v; while (l <= r) { int mid = (l + r) / 2; if (two_sat::check(m * 6, mid)) { ans = mid; r = mid - 1; v.clear(); for (int i = 0; i < m; i++) if (two_sat::res[i * 2]) v.push_back(i); } else l = mid + 1; } if (ans == -1) common::exit(); cout << "Yes" << endl << ans << ' ' << v.size() << endl; for (int i : v) cout << i + 1 << ' '; }
#include <bits/stdc++.h> using namespace std; const int MAX_BUF_SIZE = 16384; char BUFOR[MAX_BUF_SIZE]; int BUF_SIZE, BUF_POS; char ZZZ; const int MXN = 50010; const int C = 262144; const int INF = 1000000001; int n, czas, skla; vector<int> G[6 * MXN], GT[6 * MXN], H[6 * MXN], vert[6 * MXN]; vector<int> pre, skl, fu; class SAT2 { SAT2() {} int neg(int v1) { return (v1 + n) % (2 * n); } void addEdge(int v1, int v2) { G[neg(v1)].push_back(v2); GT[v2].push_back(neg(v1)); G[neg(v2)].push_back(v1); GT[v1].push_back(neg(v2)); } void dfs(int x) { pre[x] = ++czas; for (__typeof((G[x]).begin()) it = ((G[x]).begin()); it != (G[x]).end(); ++it) if (!pre[*it]) dfs(*it); fu.push_back(x); } void dfs2(int x) { skl[x] = skla; vert[skla].push_back(x); for (__typeof((GT[x]).begin()) it = ((GT[x]).begin()); it != (GT[x]).end(); ++it) if (!skl[*it]) dfs2(*it); } void dfs3(int x) { pre[x] = 1; for (__typeof((H[x]).begin()) it = ((H[x]).begin()); it != (H[x]).end(); ++it) if (!pre[*it]) dfs3(*it); fu.push_back(x); } public: void clear() { fu.clear(); pre.clear(); skl.clear(); for (int i = (0); i <= (2 * n); i++) { G[i].clear(); GT[i].clear(); vert[i].clear(); H[i].clear(); } } SAT2(int _n) { clear(); czas = 0; skla = 0; n = _n; pre.resize(2 * n, 0); skl.resize(2 * n, 0); } void add(int v1, bool pos1, int v2, bool pos2) { addEdge((pos1 ? neg(v1) : v1), (pos2 ? neg(v2) : v2)); } pair<bool, vector<bool> > solve() { for (int i = (0); i <= (2 * n - 1); i++) if (!pre[i]) dfs(i); for (int i = ((int)(fu).size() - 1); i >= (0); i--) { int w = fu[i]; if (!skl[w]) { skla++; dfs2(w); } } skla++; for (int i = (0); i <= (n - 1); i++) if (skl[i] == skl[i + n]) return make_pair(false, vector<bool>()); for (int i = (0); i <= (2 * n - 1); i++) { for (__typeof((G[i]).begin()) it = ((G[i]).begin()); it != (G[i]).end(); ++it) H[skl[i]].push_back(skl[*it]); } fu.clear(); pre = vector<int>(skla, 0); for (int i = (0); i <= (skla - 1); i++) if (!pre[i]) dfs3(i); vector<bool> res(2 * n, 0); vector<int> tmp(skla + 1, -1); for (int i = ((int)(fu).size() - 1); i >= (0); i--) { int w = fu[i]; if (tmp[w] == -1) tmp[w] = 0; if (tmp[w] == 1) for (__typeof((H[w]).begin()) it = ((H[w]).begin()); it != (H[w]).end(); ++it) tmp[*it] = 1; for (__typeof((vert[w]).begin()) it = ((vert[w]).begin()); it != (vert[w]).end(); ++it) { tmp[skl[neg(*it)]] = !tmp[w]; res[*it] = tmp[w]; res[neg(*it)] = !tmp[w]; } } return make_pair(true, res); } }; int n2, m; vector<pair<int, pair<int, int> > > G2[MXN]; int c[MXN], t[MXN]; pair<bool, vector<bool> > check(int second) { SAT2 SAT(3 * m); for (int i = (0); i <= (m - 1); i++) if (t[i] > second) SAT.add(i, 1, i, 1); for (int i = (1); i <= (n2); i++) { for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) { int iter = j; while (iter < (int)(G2[i]).size() && G2[i][j].first == G2[i][iter].first) iter++; if (iter - j > 2) return make_pair(false, vector<bool>()); else if (iter - j == 2) SAT.add(G2[i][j].second.second, 0, G2[i][j + 1].second.second, 0); j = iter - 1; } int last = -1; for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) { int ei = G2[i][j].second.second; int pi = ei; if (i < G2[i][j].second.first) pi += m; else pi += 2 * m; SAT.add(pi, 1, ei, 1); if (last != -1) { SAT.add(ei, 1, last, 0); SAT.add(pi, 1, last, 0); } last = pi; } } return SAT.solve(); } void test() { scanf("%d %d", &n2, &m); int mx = 0; for (int i = (1); i <= (m); i++) { int a, b; scanf("%d %d %d %d", &a, &b, &c[i - 1], &t[i - 1]); mx = max(mx, t[i - 1]); G2[a].push_back(make_pair(c[i - 1], make_pair(b, i - 1))); G2[b].push_back(make_pair(c[i - 1], make_pair(a, i - 1))); } for (int i = (1); i <= (n2); i++) sort((G2[i]).begin(), (G2[i]).end()); int res = INF; int L = 0, R = mx; vector<bool> ans; while (L <= R) { int second = (L + R) / 2; pair<bool, vector<bool> > p1 = check(second); if (p1.first) { if (res > second) { res = second; ans = p1.second; } R = second - 1; } else L = second + 1; } if (res != INF) { printf("Yes\n"); int cnt = 0; for (int i = (0); i <= (m - 1); i++) if (ans[i]) cnt++; printf("%d %d\n", res, cnt); for (int i = (0); i <= (m - 1); i++) if (ans[i]) printf("%d ", i + 1); printf("\n"); } else printf("No\n"); } int main() { int te = 1; while (te--) test(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 50005, M = 50005, inf = 1000000005; template <class T> void read(T &x) { int sgn = 1; char ch; x = 0; for (ch = getchar(); (ch < '0' || ch > '9') && ch != '-'; ch = getchar()) ; if (ch == '-') ch = getchar(), sgn = -1; for (; '0' <= ch && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0'; x *= sgn; } template <class T> void write(T x) { if (x < 0) putchar('-'), write(-x); else if (x < 10) putchar(x + '0'); else write(x / 10), putchar(x % 10 + '0'); } struct edge { int to, nxt, col, t; } graph[M * 12 + N * 4]; int n, m, t_lim, head[N], cnt = 0; void addedge(int u, int v, int col, int t) { edge e = {v, head[u], col, t}; graph[head[u] = cnt++] = e; } int dfn[M * 12 + N * 4], low[M * 12 + N * 4], scc[M * 12 + N * 4], tot = 0, now = 0, t = 0; vector<int> g[M * 12 + N * 4]; stack<int> stk; bool vis[M * 12 + N * 4], flag = true; void dfs(int u) { dfn[u] = low[u] = ++now; stk.push(u), vis[u] = true; for (int i = 0; i < g[u].size(); i++) { int v = g[u][i]; if (!dfn[v]) dfs(v), low[u] = min(low[u], low[v]); else if (vis[v]) low[u] = min(low[u], dfn[v]); } if (u < (m << 1) && graph[u].t > t_lim && (u & 1)) { int v = u ^ 1; if (!dfn[v]) dfs(v), low[u] = min(low[u], low[v]); else if (vis[v]) low[u] = min(low[u], dfn[v]); } if (low[u] == dfn[u]) { t++; for (;;) { int v = stk.top(); vis[v] = false; stk.pop(), scc[v] = t; if (v == u) break; } } } bool check() { for (int i = 0; i < tot; i++) dfn[i << 1] = dfn[i << 1 | 1] = 0; for (int i = 0; i < tot; i++) { if (!dfn[i << 1]) dfs(i << 1); if (!dfn[i << 1 | 1]) dfs(i << 1 | 1); } for (int i = 0; i < tot; i++) { if (scc[i << 1] == scc[i << 1 | 1]) return false; } return flag; } int main() { read(n), read(m); for (int i = 1; i <= n; i++) head[i] = -1; for (int i = 0; i < m; i++) { int u, v, c, t; read(u), read(v), read(c), read(t); addedge(u, v, c, t), addedge(v, u, c, t); } tot = m; for (int i = 1; i <= n; i++) { int total = 0, e1, e2; vector<int> adj; map<int, int> id; for (int j = head[i]; ~j; j = graph[j].nxt) { if (id[graph[j].col]) { e1 = id[graph[j].col], e2 = j; total++; } id[graph[j].col] = j, adj.push_back(j); } if (total > 1) flag = false; else if (total) { for (int j = head[i]; ~j; j = graph[j].nxt) { if (j != e1 && j != e2) g[j ^ (j & 1) ^ 1].push_back(j ^ (j & 1)); } g[e1 ^ (e1 & 1)].push_back(e2 ^ (e2 & 1) ^ 1); g[e2 ^ (e2 & 1)].push_back(e1 ^ (e1 & 1) ^ 1); g[e1 ^ (e1 & 1) ^ 1].push_back(e2 ^ (e2 & 1)); g[e2 ^ (e2 & 1) ^ 1].push_back(e1 ^ (e1 & 1)); } else { int s = adj.size(); vector<int> pre, suf; pre.push_back(tot++); for (int j = 0; j < s; j++) { pre.push_back(tot); g[adj[j] ^ (adj[j] & 1) ^ 1].push_back(tot << 1 | 1); g[tot << 1].push_back(adj[j] ^ (adj[j] & 1)); g[pre[j] << 1 | 1].push_back(tot << 1 | 1); g[tot << 1].push_back(pre[j] << 1); tot++; } suf.push_back(tot++); for (int j = s - 1; j >= 0; j--) { suf.push_back(tot); g[adj[j] ^ (adj[j] & 1) ^ 1].push_back(tot << 1 | 1); g[tot << 1].push_back(adj[j] ^ (adj[j] & 1)); g[suf[s - j] << 1 | 1].push_back(tot << 1 | 1); g[tot << 1].push_back(suf[s - j] << 1); tot++; } for (int j = 0; j < s; j++) { g[adj[j] ^ (adj[j] & 1) ^ 1].push_back(pre[j] << 1); g[pre[j] << 1 | 1].push_back(adj[j] ^ (adj[j] & 1)); g[adj[j] ^ (adj[j] & 1) ^ 1].push_back(suf[s - 1 - j] << 1); g[suf[s - 1 - j] << 1 | 1].push_back(adj[j] ^ (adj[j] & 1)); } } } int l = 0, r = inf; while (l < r) { int mid = l + r >> 1; t_lim = mid, now = t = 0; if (check()) r = mid; else l = mid + 1; } if (l >= inf) puts("No"); else { int total = 0; t_lim = l, check(); for (int i = 0; i < m; i++) { if (scc[i << 1 | 1] < scc[i << 1]) total++; } puts("Yes"); write(l), putchar(' '); write(total), putchar('\n'); for (int i = 0; i < m; i++) { if (scc[i << 1 | 1] < scc[i << 1]) write(i + 1), putchar(' '); } putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; const int inf = 1e9; long long int linf = 1000000ll * 10000 * 10000; const int maxn = 3e5 + 20; const int maxfn = 5e4 + 20; int kmch = 15e4 + 5, V, n, m, psb; vector<int> sat_adj[2][maxn], vec[maxn], cl, ans, comp; vector<pair<pair<int, int>, pair<int, int> > > adj[maxfn], E; stack<int> stk; int bag[maxn], mark[maxn]; void pre_dfs(int v) { mark[v] = 1; for (int u : sat_adj[0][v]) { if (!mark[u]) { pre_dfs(u); } } stk.push(v); } void dfs(int v, int id) { mark[v] = 1; bag[v] = id; for (int u : sat_adj[1][v]) { if (!mark[u]) { dfs(u, id); } } } inline int var(int x) { if (x >= kmch) { x -= kmch; } else { x += kmch; } return x; } inline void make_condition(int v, int u) { sat_adj[0][var(u)].push_back(v); if (u != v) sat_adj[0][var(v)].push_back(u); sat_adj[1][v].push_back(var(u)); if (u != v) sat_adj[1][u].push_back(var(v)); } inline bool is_posbl() { memset(mark, 0, sizeof(mark)); for (int i = 1; i <= V; i++) { if (!mark[i]) { pre_dfs(i); } if (!mark[var(i)]) { pre_dfs(var(i)); } } memset(mark, 0, sizeof(mark)); int cnt = 0; while (!stk.empty()) { int v = stk.top(); stk.pop(); if (!mark[v]) { dfs(v, cnt++); } } for (int i = 1; i <= V; i++) { if (bag[i] == bag[var(i)]) { return false; } } return true; } inline void set_condition(int x) { for (int i = 1; i <= V; i++) { sat_adj[0][i].clear(); sat_adj[0][var(i)].clear(); sat_adj[1][i].clear(); sat_adj[1][var(i)].clear(); } int ind = 0; for (auto P : E) { ind++; if (P.first.first > x) { make_condition(ind, ind); } } ind = 0; for (int i = 1; i <= n; i++) { bool is_first = 1; int j = 0; for (auto P : adj[i]) { ind++; int pos = lower_bound(comp.begin(), comp.end(), P.second.second) - comp.begin(); vec[pos].push_back(P.first.second); cl.push_back(pos); if (j + 1 != adj[i].size()) { make_condition(m + ind + 1, P.first.second); } make_condition(P.first.second, var(m + ind)); if (is_first) { is_first = 0; j++; continue; } make_condition(var(m + ind - 1), m + ind); j++; } sort(cl.begin(), cl.end()); cl.resize(unique(cl.begin(), cl.end()) - cl.begin()); for (int j : cl) { if (psb == -1) { vec[j].clear(); continue; } if (vec[j].size() >= 3) { psb = -1; } if (vec[j].size() <= 1) { vec[j].clear(); continue; } make_condition(var(vec[j][0]), var(vec[j][1])); vec[j].clear(); } cl.clear(); if (psb == -1) return; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m; V = 3 * m; for (int i = 0; i < m; i++) { int u, v, c, t; cin >> u >> v >> c >> t; comp.push_back(c); E.push_back({{t, c}, {u, v}}); adj[v].push_back({{u, i + 1}, {t, c}}); adj[u].push_back({{v, i + 1}, {t, c}}); } sort(comp.begin(), comp.end()); comp.resize(unique(comp.begin(), comp.end()) - comp.begin()); int l = -1, r = mod; while (r - l > 1) { psb = 0; int mid = (l + r) >> 1; set_condition(mid); if (psb == -1) { l = mid; continue; } if (is_posbl()) { r = mid; } else { l = mid; } } if (r == mod) { cout << "No"; return 0; } cout << "Yes\n"; set_condition(r); is_posbl(); for (int i = 1; i <= m; i++) { if (bag[i] < bag[var(i)]) { ans.push_back(i); } } cout << r << " " << ans.size() << "\n"; for (int i : ans) { cout << i << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const int max_n = 311111, inf = 1111111111; int n, m, cnt, u[max_n], v[max_n], c[max_n], t[max_n], a[max_n], b[max_n], no[max_n], res[max_n], used[max_n]; vector<int> g[max_n], p[max_n], g2[max_n], rg2[max_n], ans, tp; vector<pair<int, int> > q[max_n]; void add_edge(int a, int b) { g2[no[a]].push_back(b); g2[no[b]].push_back(a); rg2[b].push_back(no[a]); rg2[a].push_back(no[b]); } void dfs1(int v) { used[v] = 1; for (int i = 0; i < g2[v].size(); ++i) { if (used[g2[v][i]] == 0) { dfs1(g2[v][i]); } } tp.push_back(v); } void dfs2(int v, int cl) { used[v] = cl; for (int i = 0; i < rg2[v].size(); ++i) { if (used[rg2[v][i]] == 0) { dfs2(rg2[v][i], cl); } } } bool ok() { tp.clear(); memset(used, 0, sizeof(used)); for (int i = 0; i < cnt; ++i) { if (used[i] == 0) { dfs1(i); } } reverse(tp.begin(), tp.end()); int cl = 0; memset(used, 0, sizeof(used)); for (int i = 0; i < tp.size(); ++i) { if (used[tp[i]] == 0) { ++cl; dfs2(tp[i], cl); } } for (int i = 0; i < cnt; ++i) { if (used[i] == used[no[i]]) { return false; } res[i] = 0; if (used[i] > used[no[i]]) { res[i] = 1; } } return true; } bool check(int tt) { for (int i = 0; i < max_n; ++i) { g2[i].clear(); rg2[i].clear(); } for (int i = 0; i < m; ++i) { if (t[i] > tt) { add_edge(no[i], no[i]); } } for (int i = 1; i <= n; ++i) { if (a[i] != -1) { add_edge(a[i], b[i]); } for (int j = 0; j < g[i].size(); ++j) { add_edge(no[g[i][j]], p[i][j]); if (j + 1 < g[i].size()) { add_edge(no[p[i][j]], p[i][j + 1]); add_edge(no[p[i][j]], no[g[i][j + 1]]); } } } return ok(); } int main() { scanf("%d%d", &n, &m); int l = -1, r = 0; for (int i = 0; i < m; ++i) { no[i] = m + i; no[m + i] = i; scanf("%d%d%d%d", &u[i], &v[i], &c[i], &t[i]); q[u[i]].push_back(make_pair(c[i], i)); q[v[i]].push_back(make_pair(c[i], i)); g[u[i]].push_back(i); g[v[i]].push_back(i); r = max(r, t[i]); } cnt = 2 * m; for (int i = 1; i <= n; ++i) { sort(q[i].begin(), q[i].end()); a[i] = b[i] = -1; for (int j = 0; j < q[i].size(); ++j) { int poz = j; while (poz < q[i].size() && q[i][j].first == q[i][poz].first) { ++poz; } --poz; if (poz - j + 1 > 2) { printf("No\n"); return 0; } if (poz - j + 1 == 2) { if (a[i] == -1) { a[i] = q[i][j].second; b[i] = q[i][j + 1].second; } else { printf("No\n"); return 0; } } } for (int j = 0; j < g[i].size(); ++j) { p[i].push_back(cnt); ++cnt; } } for (int i = 2 * m; i < cnt; ++i) { no[i] = cnt + i - 2 * m; no[cnt + i - 2 * m] = i; } int kr = r; ++r; while (r - l > 1) { int mid = (l + r) / 2; if (check(mid)) { r = mid; } else { l = mid; } } if (r == kr) { printf("No\n"); return 0; } printf("Yes\n"); check(r); for (int i = 0; i < m; ++i) { if (res[i]) { ans.push_back(i + 1); } } printf("%d %d\n", r, ans.size()); for (int i = 0; i < ans.size(); ++i) { printf("%d ", ans[i]); } printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int v[50101], u[50101]; int c[50101], t[50101]; vector<pair<int, int>> sgr[301010][2]; map<int, int> gr[50101]; int pred[50101]; int vis[301010][2]; int ind; int ord[301010]; int chk[301010]; const int INF = 1010101010; int dfs(int x, int sty, int ti, int tmp = 1) { if (vis[x][sty]) return 1; vis[x][sty] = tmp; if (sty) { if (vis[(x + 3 * m) % (6 * m)][sty] == tmp) return 0; if (x < 3 * m) chk[x % (3 * m)] = 1; else chk[x % (3 * m)] = 2; } for (auto y : sgr[x][sty]) { if (y.second > ti) { if (!dfs(y.first, sty, ti, tmp)) { return 0; } } } if (!sty) ord[ind++] = x; return 1; } int check(int ti) { for (int i = 0; i < 6 * m; i++) { chk[i] = 0; for (int j = 0; j < 2; j++) vis[i][j] = 0; } ind = 0; for (int i = 6 * m - 1; i >= 0; i--) dfs(i, 0, ti); for (int i = 6 * m - 1; i >= 0; i--) { if (!dfs(ord[i], 1, ti, i + 1)) return 0; } return 1; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m; int fail = 0; for (int i = 0; i < m; i++) { cin >> v[i] >> u[i] >> c[i] >> t[i]; if (gr[v[i]].count(c[i])) gr[v[i]][c[i]]++; else gr[v[i]][c[i]] = 1; if (gr[u[i]].count(c[i])) gr[u[i]][c[i]]++; else gr[u[i]][c[i]] = 1; if (max(gr[v[i]][c[i]], gr[u[i]][c[i]]) > 2) fail = 1; } if (fail) { cout << "No\n"; return 0; } for (int i = 1; i <= n; i++) gr[i].clear(); for (int i = 0; i < m; i++) { if (gr[v[i]].count(c[i])) { int j = gr[v[i]][c[i]]; sgr[i + 3 * m][0].push_back(make_pair(j, INF)); sgr[j + 3 * m][0].push_back(make_pair(i, INF)); sgr[i][1].push_back(make_pair(j + 3 * m, INF)); sgr[j][1].push_back(make_pair(i + 3 * m, INF)); } else gr[v[i]][c[i]] = i; if (gr[u[i]].count(c[i])) { int j = gr[u[i]][c[i]]; sgr[i + 3 * m][0].push_back(make_pair(j, INF)); sgr[j + 3 * m][0].push_back(make_pair(i, INF)); sgr[i][1].push_back(make_pair(j + 3 * m, INF)); sgr[j][1].push_back(make_pair(i + 3 * m, INF)); } else gr[u[i]][c[i]] = i; } for (int i = 0; i < m; i++) { sgr[i][0].push_back(make_pair(i + 3 * m, t[i])); sgr[i + 3 * m][1].push_back(make_pair(i, t[i])); int hlp = m + 2 * i; sgr[i][0].push_back(make_pair(hlp, INF)); sgr[hlp + 3 * m][0].push_back(make_pair(i + 3 * m, INF)); sgr[hlp][1].push_back(make_pair(i, INF)); sgr[i + 3 * m][1].push_back(make_pair(hlp + 3 * m, INF)); if (pred[v[i]]) { int j = pred[v[i]]; sgr[j][0].push_back(make_pair(hlp, INF)); sgr[hlp + 3 * m][0].push_back(make_pair(j + 3 * m, INF)); sgr[hlp][1].push_back(make_pair(j, INF)); sgr[j + 3 * m][1].push_back(make_pair(hlp + 3 * m, INF)); sgr[i][0].push_back(make_pair(j + 3 * m, INF)); sgr[j][0].push_back(make_pair(i + 3 * m, INF)); sgr[j + 3 * m][1].push_back(make_pair(i, INF)); sgr[i + 3 * m][1].push_back(make_pair(j, INF)); } pred[v[i]] = hlp; hlp++; sgr[i][0].push_back(make_pair(hlp, INF)); sgr[hlp + 3 * m][0].push_back(make_pair(i + 3 * m, INF)); sgr[hlp][1].push_back(make_pair(i, INF)); sgr[i + 3 * m][1].push_back(make_pair(hlp + 3 * m, INF)); if (pred[u[i]]) { int j = pred[u[i]]; sgr[j][0].push_back(make_pair(hlp, INF)); sgr[hlp + 3 * m][0].push_back(make_pair(j + 3 * m, INF)); sgr[hlp][1].push_back(make_pair(j, INF)); sgr[j + 3 * m][1].push_back(make_pair(hlp + 3 * m, INF)); sgr[i][0].push_back(make_pair(j + 3 * m, INF)); sgr[j][0].push_back(make_pair(i + 3 * m, INF)); sgr[j + 3 * m][1].push_back(make_pair(i, INF)); sgr[i + 3 * m][1].push_back(make_pair(j, INF)); } pred[u[i]] = hlp; } int ala = 0; int yla = INF; while (ala < yla) { int mid = (ala + yla) / 2; if (check(mid)) yla = mid; else ala = mid + 1; } if (!check(yla) || yla >= INF) { cout << "No\n"; } else { cout << "Yes\n"; cout << yla << " "; int cntr = 0; for (int i = 0; i < m; i++) { if (chk[i] == 1) cntr++; } cout << cntr << "\n"; for (int i = 0; i < m; i++) { if (chk[i] == 1) cout << i + 1 << " "; } cout << "\n"; } }
#include <bits/stdc++.h> using namespace std; const int MAX_BUF_SIZE = 16384; char BUFOR[MAX_BUF_SIZE]; int BUF_SIZE, BUF_POS; char ZZZ; const int MXN = 6 * 50010; const int C = 262144; const int INF = 1000000001; namespace SAT2 { vector<int> G[MXN], GT[MXN]; int pre[MXN], skl[MXN]; vector<int> fu; class SAT2 { SAT2() {} int n, czas, skla; int neg(int v1) { return (v1 + n) % (2 * n); } void addEdge(int v1, int v2) { G[neg(v1)].push_back(v2); GT[v2].push_back(neg(v1)); G[neg(v2)].push_back(v1); GT[v1].push_back(neg(v2)); } void dfs(int x) { pre[x] = ++czas; for (__typeof((G[x]).begin()) it = ((G[x]).begin()); it != (G[x]).end(); ++it) if (!pre[*it]) dfs(*it); fu.push_back(x); } void dfs2(int x) { skl[x] = skla; for (__typeof((GT[x]).begin()) it = ((GT[x]).begin()); it != (GT[x]).end(); ++it) if (!skl[*it]) dfs2(*it); } void clear() { fu.clear(); for (int i = (0); i <= (2 * n); i++) pre[i] = skl[i] = 0; for (int i = (0); i <= (2 * n); i++) { G[i].clear(); GT[i].clear(); } } public: SAT2(int _n) { czas = 0; skla = 0; n = _n; } void add(int v1, bool pos1, int v2, bool pos2) { addEdge((pos1 ? neg(v1) : v1), (pos2 ? neg(v2) : v2)); } pair<bool, vector<bool> > solve() { for (int i = (0); i <= (2 * n - 1); i++) if (!pre[i]) dfs(i); for (int i = ((int)(fu).size() - 1); i >= (0); i--) { int w = fu[i]; if (!skl[w]) { skla++; dfs2(w); } } skla++; for (int i = (0); i <= (n - 1); i++) if (skl[i] == skl[i + n]) { clear(); return make_pair(false, vector<bool>()); } vector<bool> res(2 * n, 0); for (int i = (0); i <= (n - 1); i++) { if (skl[i] < skl[neg(i)]) res[neg(i)] = 1; else res[i] = 1; } clear(); return make_pair(true, res); } }; } // namespace SAT2 int n2, m; vector<pair<int, pair<int, int> > > G2[MXN]; int c[MXN], t[MXN]; pair<bool, vector<bool> > check(int second) { SAT2::SAT2 SAT(3 * m); for (int i = (0); i <= (m - 1); i++) if (t[i] > second) SAT.add(i, 1, i, 1); for (int i = (1); i <= (n2); i++) { for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) { int iter = j; while (iter < (int)(G2[i]).size() && G2[i][j].first == G2[i][iter].first) iter++; if (iter - j > 2) return make_pair(false, vector<bool>()); else if (iter - j == 2) SAT.add(G2[i][j].second.second, 0, G2[i][j + 1].second.second, 0); j = iter - 1; } int last = -1; for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) { int ei = G2[i][j].second.second; int pi = ei; if (i < G2[i][j].second.first) pi += m; else pi += 2 * m; SAT.add(pi, 1, ei, 1); if (last != -1) { SAT.add(ei, 1, last, 0); SAT.add(pi, 1, last, 0); } last = pi; } } return SAT.solve(); } void test() { scanf("%d %d", &n2, &m); int mx = 0; for (int i = (1); i <= (m); i++) { int a, b; scanf("%d %d %d %d", &a, &b, &c[i - 1], &t[i - 1]); mx = max(mx, t[i - 1]); G2[a].push_back(make_pair(c[i - 1], make_pair(b, i - 1))); G2[b].push_back(make_pair(c[i - 1], make_pair(a, i - 1))); } for (int i = (1); i <= (n2); i++) sort((G2[i]).begin(), (G2[i]).end()); int res = INF; int L = 0, R = mx; vector<bool> ans; while (L <= R) { int second = (L + R) / 2; pair<bool, vector<bool> > p1 = check(second); if (p1.first) { if (res > second) { res = second; ans = p1.second; } R = second - 1; } else L = second + 1; } if (res != INF) { printf("Yes\n"); int cnt = 0; for (int i = (0); i <= (m - 1); i++) if (ans[i]) cnt++; printf("%d %d\n", res, cnt); for (int i = (0); i <= (m - 1); i++) if (ans[i]) printf("%d ", i + 1); printf("\n"); } else printf("No\n"); } int main() { int te = 1; while (te--) test(); return 0; }
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("Ofast") long long pw(long long a, long long b) { long long ret = 1; long long mul = a; while (b > 0) { if (b & 1) ret = (ret * mul); mul = (mul * mul); b /= 2; } return ret; } long long to_int(string s) { long long ret = 0; for (int(i) = (0); (i) < (s.size()); (i)++) { ret += pw(10, s.size() - i - 1) * (long long)(s[i] - '0'); } return ret; } const int MAXN = 5e4 + 54; struct ed { int s, e, c, l, st; }; int n, m, cnt[MAXN], d2[MAXN]; ed e[MAXN]; vector<int> adj[MAXN], ce[MAXN], cs; int par[MAXN], rnk[MAXN], pr[MAXN]; pair<int, int> get(int v) { if (par[v] != v) { pair<int, int> tmp = get(par[v]); par[v] = tmp.first, pr[v] ^= tmp.second; } return {par[v], pr[v]}; } bool uni(int a, int b) { pair<int, int> aa = get(a), bb = get(b); if (aa.first == bb.first and aa.second == bb.second) return 0; if (aa.first == bb.first) return 1; par[bb.first] = aa.first; rnk[aa.first] += (rnk[aa.first] == rnk[bb.first]); pr[bb.first] ^= aa.second ^ bb.second ^ 1; return 1; } bool stst(int id, int st) { if (st == 1) { if (e[id].st == 0) return 0; if (e[id].st == 1) return 1; e[id].st = 1; int u = e[id].s, v = e[id].e, c = e[id].c; if (d2[u] == c) { for (int cid : adj[u]) { if (cid == id) continue; if (e[cid].c == c) { if (!stst(cid, 0)) return 0; } } } if (d2[v] == c) { for (int cid : adj[v]) { if (cid == id) continue; if (e[cid].c == c) { if (!stst(cid, 0)) return 0; } } } } else { if (e[id].st == 1) return 0; if (e[id].st == 0) return 1; e[id].st = 0; int u = e[id].s, v = e[id].e, c = e[id].c; for (int cid : adj[u]) { if (cid == id) continue; if (!stst(cid, 1)) return 0; } for (int cid : adj[v]) { if (cid == id) continue; if (!stst(cid, 1)) return 0; } } return 1; } bool chk(int M) { for (int(i) = (0); (i) < (m); (i)++) e[i].st = -1; for (int(i) = (0); (i) < (m); (i)++) { if (e[i].l > M) if (!stst(i, 1)) return 0; } for (int(v) = (0); (v) < (n); (v)++) { if (d2[v]) { for (int id : adj[v]) { if (e[id].c != d2[v]) if (!stst(id, 1)) return 0; } } } for (int(v) = (0); (v) < (n); (v)++) { if (d2[v]) continue; for (int id : adj[v]) { if (e[id].st == -1) { if (!stst(id, 1)) return 0; } } } for (int(v) = (0); (v) < (n); (v)++) { if (d2[v]) { for (int id : adj[v]) { if (e[id].c == d2[v]) { stst(id, 1); break; } } } } return 1; } int main() { ios::sync_with_stdio(false); cin.tie(0); ; for (int(i) = (0); (i) < (MAXN); (i)++) par[i] = i; cin >> n >> m; for (int(i) = (0); (i) < (m); (i)++) { cin >> e[i].s >> e[i].e >> e[i].c >> e[i].l; e[i].s--, e[i].e--; cs.push_back(e[i].c); adj[e[i].s].push_back(i), adj[e[i].e].push_back(i); } sort((cs).begin(), (cs).end()); cs.resize(unique((cs).begin(), (cs).end()) - cs.begin()); for (int(i) = (0); (i) < (m); (i)++) e[i].c = lower_bound((cs).begin(), (cs).end(), e[i].c) - cs.begin() + 1, ce[e[i].c].push_back(i); bool fl = 1; for (int(i) = (1); (i) < (MAXN); (i)++) { for (int id : ce[i]) { cnt[e[id].s]++; cnt[e[id].e]++; fl &= uni(e[id].s, e[id].e); } for (int id : ce[i]) { par[e[id].s] = e[id].s, par[e[id].e] = e[id].e; rnk[e[id].s] = pr[e[id].s] = rnk[e[id].e] = pr[e[id].e] = 0; fl &= (cnt[e[id].s] <= 2) & (cnt[e[id].e] <= 2) & (cnt[e[id].s] < 2 or !d2[e[id].s]) & (cnt[e[id].e] < 2 or !d2[e[id].e]); if (cnt[e[id].s] >= 2) d2[e[id].s] = i; if (cnt[e[id].e] >= 2) d2[e[id].e] = i; cnt[e[id].s] = cnt[e[id].e] = 0; } if (!fl) break; } if (!fl) { cout << "No" << "\n"; return 0; } int l = -1, r = 1e9 + 19; while (r - l > 1) { int M = (l + r) / 2; if (chk(M)) r = M; else l = M; } if (r >= 1e9) cout << "No" << "\n"; else { chk(r); int ans = 0; for (int(i) = (0); (i) < (m); (i)++) ans += (e[i].st == 0); cout << "Yes" << "\n" << r << " " << ans << "\n"; for (int(i) = (0); (i) < (m); (i)++) if (!e[i].st) cout << i + 1 << " "; cout << "\n"; } }
#include <bits/stdc++.h> int MOD = int(1e9) + 7; inline int add(int a, int b) { return (a + b >= MOD) ? (a + b - MOD) : (a + b); } inline void inc(int &a, int b) { a = add(a, b); } inline int sub(int a, int b) { return (a - b < 0) ? (a - b + MOD) : (a - b); } inline void dec(int &a, int b) { a = sub(a, b); } inline int mul(int a, int b) { return (a * 1ll * b) % MOD; } using namespace std; const int MAX = 50005; vector<int> edges[MAX]; int from[MAX], to[MAX], color[MAX], cost[MAX]; bool cmp(int x, int y) { return (color[x] < color[y]); } vector<pair<int, int> > bads; vector<int> adj[8 * MAX], tmp[8 * MAX]; int n, m, sz; void init() { for (int i = 0; i < 8 * MAX; i++) adj[i].clear(); for (int i = 0; i < (int)bads.size(); i++) { int id1 = bads[i].first, id2 = bads[i].second; adj[2 * id1].push_back(2 * id2 + 1); adj[2 * id2].push_back(2 * id1 + 1); } sz = m; for (int v = 0; v < n; v++) if (!edges[v].empty()) { int last = edges[v][0]; for (int i = 1; i < (int)edges[v].size(); i++) { int id = edges[v][i]; adj[2 * last + 1].push_back(2 * id); adj[2 * id + 1].push_back(2 * last); adj[2 * id + 1].push_back(2 * sz + 1); adj[2 * sz].push_back(2 * id); adj[2 * last + 1].push_back(2 * sz + 1); adj[2 * sz].push_back(2 * last); last = sz++; } } } vector<int> tp; bool mark[8 * MAX]; void dfs(int v) { mark[v] = true; for (int i = 0; i < (int)adj[v].size(); i++) { int u = adj[v][i]; if (!mark[u]) dfs(u); } tp.push_back(v); } int cc[8 * MAX]; void sfd(int v, int col) { mark[v] = true; cc[v] = col; for (int i = 0; i < (int)adj[v].size(); i++) { int u = adj[v][i]; if (!mark[u]) sfd(u, col); } } vector<int> ans; bool check(int lim) { init(); sz *= 2; for (int i = 0; i < m; i++) if (cost[i] > lim) adj[2 * i + 1].push_back(2 * i); memset(mark, false, sizeof(mark)); tp.clear(); for (int i = 0; i < sz; i++) if (!mark[i]) dfs(i); reverse(tp.begin(), tp.end()); for (int i = 0; i < sz; i++) tmp[i].clear(); for (int v = 0; v < sz; v++) for (int i = 0; i < (int)adj[v].size(); i++) tmp[adj[v][i]].push_back(v); for (int i = 0; i < sz; i++) adj[i] = tmp[i]; int cnt = 0; memset(mark, false, sizeof(mark)); for (int i = 0; i < (int)tp.size(); i++) if (!mark[tp[i]]) sfd(tp[i], cnt++); ans.clear(); for (int i = 0; i < sz / 2; i++) { if (cc[2 * i] == cc[2 * i + 1]) return false; if (i < m && cc[2 * i] < cc[2 * i + 1]) ans.push_back(i); } return true; } int main() { ios::sync_with_stdio(false); cin >> n >> m; vector<int> vals; vals.push_back(0); for (int i = 0; i < m; i++) { cin >> from[i] >> to[i] >> color[i] >> cost[i]; vals.push_back(cost[i]); from[i]--; to[i]--; edges[from[i]].push_back(i); edges[to[i]].push_back(i); } for (int v = 0; v < n; v++) { sort(edges[v].begin(), edges[v].end(), cmp); int cnt = 0; for (int i = 0; i < (int)edges[v].size(); i++) { int j = i + 1; while (j < (int)edges[v].size() && color[edges[v][j - 1]] == color[edges[v][j]]) j++; if (j - i > 2) { cout << "No\n"; return 0; } if (j - i == 2) { cnt++; if (cnt == 2) { cout << "No\n"; return 0; } bads.push_back(make_pair(edges[v][i], edges[v][i + 1])); i++; } } } sort(vals.begin(), vals.end()); vals.resize(unique(vals.begin(), vals.end()) - vals.begin()); int l = -1, r = (int)vals.size(); while (r - l > 1) { int mid = (l + r) / 2; if (check(vals[mid])) r = mid; else l = mid; } if (r == (int)vals.size()) { cout << "No\n"; return 0; } check(vals[r]); cout << "Yes\n"; cout << vals[r] << " " << ans.size() << "\n"; for (int i = 0; i < (int)ans.size(); i++) cout << ans[i] + 1 << " "; cout << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 4e5 + 100; int n, m, U[MAXN], V[MAXN], c[MAXN], t[MAXN]; int res[MAXN]; map<int, int> mp; vector<int> adj[MAXN], in[MAXN], out[MAXN], vec; bool mark[MAXN], is[MAXN]; void dfs(int u) { mark[u] = true; for (int i = 0; i < out[u].size(); i++) { int v = out[u][i]; if (!mark[v]) dfs(v); } vec.push_back(u); } void dfs2(int u, int cc) { res[u] = cc; for (int i = 0; i < in[u].size(); i++) { int v = in[u][i]; if (res[v] == -1) dfs2(v, cc); } } inline void add_e(int a, int b) { out[a ^ 1].push_back(b); in[b].push_back(a ^ 1); out[b ^ 1].push_back(a); in[a].push_back(b ^ 1); } bool ok(int mid) { int C = m; for (int i = 0; i < MAXN; i++) { in[i].clear(), out[i].clear(); mark[i] = is[i] = 0; res[i] = -1; } vec.clear(); for (int i = 0; i < n; i++) { mp.clear(); int cur = -1; for (int j = 0; j < adj[i].size(); j++) { int id = adj[i][j]; if (cur == -1) cur = id; else { add_e(2 * cur + 1, 2 * id + 1); add_e(2 * cur + 1, 2 * C); add_e(2 * id + 1, 2 * C); cur = C; C++; } if (!mp[c[id]]) mp[c[id]] = id + 1; else if (mp[c[id]] == -1) return false; else add_e(2 * (mp[c[id]] - 1), 2 * id), mp[c[id]] = -1; } } for (int i = 0; i < m; i++) if (t[i] > mid) out[2 * i].push_back(2 * i + 1), in[2 * i + 1].push_back(2 * i); for (int i = 0; i < 2 * C; i++) if (!mark[i]) dfs(i); int cnt = 0; for (int i = 2 * C - 1; i >= 0; i--) { if (res[vec[i]] == -1) dfs2(vec[i], cnt++); } for (int i = 0; i < 2 * C; i += 2) { if (res[i] == res[i + 1]) return false; else if (res[i] > res[i + 1]) is[i / 2] = true; } return true; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { cin >> U[i] >> V[i] >> c[i] >> t[i], V[i]--, U[i]--; adj[V[i]].push_back(i), adj[U[i]].push_back(i); } int l = -1, r = INT_MAX / 2 + 10; while (r - l > 1) { int mid = (r + l) / 2; if (ok(mid)) r = mid; else l = mid; } if (r >= INT_MAX / 2 + 5) return cout << "No" << endl, 0; ok(r); cout << "Yes" << endl; int ans = 0; for (int i = 0; i < m; i++) if (is[i]) ans++; cout << r << " " << ans << endl; for (int i = 0; i < m; i++) if (is[i]) cout << i + 1 << " "; return 0; }
#include <bits/stdc++.h> using namespace std; struct E { int to, col, time, ind; E(int to, int col, int time, int ind) : to(to), col(col), time(time), ind(ind) {} }; int n, m, cnt; vector<E> g[50000]; int a[50000], b[50000], c[50000], d[50000], t[50000]; map<int, pair<int, int> > colInd; const int INF = 1e9 + 99; vector<int> sat[311111], rev[311111], tmp[311111], ord; bool used[311111]; int cmp[311111], curCmp; void dfs1(int v) { used[v] = true; for (int to : sat[v]) if (!used[to]) { dfs1(to); } ord.push_back(v); } void dfs2(int v) { cmp[v] = curCmp; for (int to : rev[v]) if (cmp[to] == -1) { dfs2(to); } } bool solve(int bound) { for (int i = 0; i < (int)(cnt << 1); ++i) sat[i] = tmp[i]; for (int i = 0; i < (int)(m); ++i) if (t[i] > bound) { sat[i << 1].push_back((i << 1) | 1); } for (int i = 0; i < (int)(cnt << 1); ++i) rev[i].clear(); for (int i = 0; i < (int)(cnt << 1); ++i) for (int to : sat[i]) { rev[to].push_back(i); } for (int i = 0; i < (int)(cnt << 1); ++i) used[i] = false; ord.clear(); for (int i = 0; i < (int)(cnt << 1); ++i) if (!used[i]) { dfs1(i); } reverse(ord.begin(), ord.end()); for (int i = 0; i < (int)(cnt << 1); ++i) cmp[i] = -1; curCmp = 0; for (int i : ord) if (cmp[i] == -1) { dfs2(i); ++curCmp; } for (int i = 0; i < (int)(cnt); ++i) if (cmp[i << 1] == cmp[(i << 1) | 1]) { return false; } return true; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < (int)(m); ++i) { int from, to, c, tt; scanf("%d%d%d%d", &from, &to, &c, &tt), --from, --to; g[from].push_back(E(to, c, tt, i)); g[to].push_back(E(from, c, tt, i)); t[i] = tt; } for (int i = 0; i < (int)(n); ++i) { a[i] = -1; for (E e : g[i]) { auto it = colInd.find(e.col); if (it != colInd.end()) { if (a[i] != -1) { printf("No\n"); return 0; } a[i] = it->second.first; b[i] = e.ind; c[i] = it->second.second; d[i] = e.time; } else { colInd[e.col] = make_pair(e.ind, e.time); } } colInd.clear(); } int lo = 0, hi = 0, mid; for (int i = 0; i < (int)(n); ++i) if (a[i] != -1) { lo = max(lo, min(c[i], d[i])); hi = max(hi, max(c[i], d[i])); } if (hi == 0) { printf("Yes\n0 0\n"); return 0; } cnt = m; for (int i = 0; i < (int)(n); ++i) if ((int)g[i].size() > 1) { for (int j = 0; j < (int)((int)g[i].size() - 1); ++j) { tmp[g[i][j].ind << 1].push_back((cnt + j) << 1); tmp[((cnt + j) << 1) | 1].push_back((g[i][j].ind << 1) | 1); } for (int j = 0; j < (int)((int)g[i].size() - 2); ++j) { tmp[(cnt + j) << 1].push_back((cnt + j + 1) << 1); tmp[((cnt + j + 1) << 1) | 1].push_back(((cnt + j) << 1) | 1); } for (int j = 1; j < (int)g[i].size(); ++j) { tmp[g[i][j].ind << 1].push_back(((cnt + j - 1) << 1) | 1); tmp[(cnt + j - 1) << 1].push_back((g[i][j].ind << 1) | 1); } cnt += (int)g[i].size() - 1; } for (int i = 0; i < (int)(n); ++i) if (a[i] != -1) { tmp[(a[i] << 1) | 1].push_back(b[i] << 1); tmp[(b[i] << 1) | 1].push_back(a[i] << 1); } while (lo < hi) { mid = (lo + hi) >> 1; if (solve(mid)) { hi = mid; } else { lo = mid + 1; } } if (solve(lo)) { printf("Yes\n"); vector<int> ans; for (int i = 0; i < (int)(m); ++i) if (cmp[(i << 1) | 1] < cmp[i << 1]) { ans.push_back(i); } printf("%d %d\n", lo, (int)ans.size()); for (int x : ans) printf("%d ", x + 1); printf("\n"); } else { printf("No\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int V; vector<int> G[400100]; vector<int> rG[400100]; vector<int> vs; bool used[400100]; int cmp[400100]; void clear_graph() { for (int i = 0; i < 400100; i++) { G[i].clear(); rG[i].clear(); } vs.clear(); } void add_edge(int from, int to) { G[from].push_back(to); rG[to].push_back(from); } void dfs(int v) { used[v] = true; for (int i = 0; i < G[v].size(); i++) { if (!used[G[v][i]]) dfs(G[v][i]); } vs.push_back(v); } void rdfs(int v, int k) { used[v] = true; cmp[v] = k; for (int i = 0; i < rG[v].size(); i++) { if (!used[rG[v][i]]) rdfs(rG[v][i], k); } } void scc() { memset(cmp, -1, sizeof(cmp)); memset(used, false, sizeof(used)); for (int i = 0; i < V; i++) if (!used[i]) dfs(i); int k = 0; memset(used, false, sizeof(used)); for (int i = (int)vs.size() - 1; i >= 0; i--) { if (!used[vs[i]]) rdfs(vs[i], k++); } } int n, m; vector<int> adj[50010]; int col[50010]; int t[50010]; map<int, int> cnt; map<int, int> cnt2[50010]; vector<int> use[50010]; int must[50010]; int ind; bool make_graph(int limit) { memset(must, -1, sizeof(must)); for (int i = 0; i < n; i++) use[i].clear(); for (int i = 0; i < n; i++) cnt2[i].clear(); for (int i = 0; i < n; i++) { int c = 0; cnt.clear(); map<int, int>::iterator it; for (int j = 0; j < adj[i].size(); j++) { int id = adj[i][j]; if (t[id] <= limit) { cnt[col[id]]++; use[i].push_back(id); } else { if (cnt2[i].find(col[id]) != cnt2[i].end()) return false; cnt2[i][col[id]] = id; } } for (it = cnt.begin(); it != cnt.end(); it++) { if ((it->second) > 2) return false; if ((it->second) == 2) { c++; must[i] = it->first; } } if (c > 1) return false; } ind = 2 * m; clear_graph(); for (int i = 0; i < n; i++) { int num = (int)use[i].size(); int m1 = -1, m2 = -1; for (int j = 0; j < num; j++) { add_edge(ind + j, use[i][j] + m); if (j < num - 1) add_edge(ind + j, ind + j + 1); add_edge(ind + num + j, use[i][j] + m); if (j > 0) add_edge(ind + num + j, ind + num + j - 1); if (j < num - 1) add_edge(use[i][j], ind + j + 1); if (j > 0) add_edge(use[i][j], ind + num + j - 1); if (col[use[i][j]] == must[i]) { if (m1 == -1) m1 = use[i][j]; else m2 = use[i][j]; } map<int, int>::iterator it; if ((it = cnt2[i].find(col[use[i][j]])) != cnt2[i].end()) add_edge(use[i][j] + m, use[i][j]); } if (m1 != -1 && m2 != -1) { add_edge(m1 + m, m2); add_edge(m2 + m, m1); } ind += 2 * num; } V = ind; return true; } vector<int> ans; bool check(int limit, bool recover) { if (!make_graph(limit)) return false; scc(); for (int i = 0; i < n; i++) { for (int j = 0; j < use[i].size(); j++) { int id = use[i][j]; if (cmp[id] == cmp[id + m]) return false; if (recover && cmp[id] > cmp[id + m]) ans.push_back(id + 1); } } return true; } int main() { scanf("%d %d", &n, &m); for (int i = 0; i < m; i++) { int u, v; scanf("%d %d %d %d", &u, &v, &col[i], &t[i]); u--; v--; adj[u].push_back(i); adj[v].push_back(i); } int l = -1, r = 1000000100; while (r - l > 1) { int mid = (l + r) / 2; if (check(mid, false)) r = mid; else l = mid; } if (r == 1000000100) printf("No\n"); else { printf("Yes\n"); check(r, true); sort((ans).begin(), (ans).end()); ans.erase(unique((ans).begin(), (ans).end()), ans.end()); int k = (int)ans.size(); printf("%d %d\n", r, k); for (int i = 0; i < k; i++) printf("%d%c", ans[i], (i == k - 1) ? '\n' : ' '); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 50 * 1000 + 3; int n, m, u[N], v[N], c[N], t[N], sz, col[N << 3]; vector<int> edg[N], tim, g[N << 3], tmp[N << 3], ans, vec; vector<pair<int, int> > bad; bool mark[N << 3]; bool cmp(int a, int b) { return c[a] < c[b]; } void _dfs(int v) { mark[v] = 1; for (auto u : g[v]) if (!mark[u]) _dfs(u); vec.push_back(v); return; } void dfs(int v, int C) { mark[v] = 1; col[v] = C; for (auto u : g[v]) if (!mark[u]) dfs(u, C); return; } bool check(int x) { for (int i = 0; i < (N << 3); i++) g[i].clear(); for (auto p : bad) { int a = p.first, b = p.second; g[a * 2].push_back(b * 2 + 1); g[b * 2].push_back(a * 2 + 1); } sz = m; for (int i = 0; i < n; i++) if (!edg[i].empty()) { int cur = edg[i][0]; for (int j = 1; j < (int)edg[i].size(); j++) { int a = edg[i][j]; g[cur * 2 + 1].push_back(a * 2); g[a * 2 + 1].push_back(cur * 2); g[a * 2 + 1].push_back(sz * 2 + 1); g[sz * 2].push_back(a * 2); g[cur * 2 + 1].push_back(sz * 2 + 1); g[sz * 2].push_back(cur * 2); cur = sz++; } } sz *= 2; for (int i = 0; i < m; i++) if (t[i] > x) g[i * 2 + 1].push_back(i * 2); memset(mark, 0, sizeof mark); vec.clear(); for (int i = 0; i < sz; i++) if (!mark[i]) _dfs(i); for (int i = 0; i < sz; i++) tmp[i].clear(); for (int i = 0; i < sz; i++) for (int j = 0; j < int(g[i].size()); j++) tmp[g[i][j]].push_back(i); for (int i = 0; i < sz; i++) g[i] = tmp[i]; int cl = 0; memset(mark, 0, sizeof mark); for (int i = int(vec.size()) - 1; i > -1; i--) if (!mark[vec[i]]) dfs(vec[i], cl++); ans.clear(); sz /= 2; for (int i = 0; i < sz; i++) { if (col[i * 2] == col[i * 2 + 1]) return 0; if (i < m && col[i * 2] < col[i * 2 + 1]) ans.push_back(i); } return 1; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(nullptr); cout.tie(nullptr); ; tim.push_back(0); cin >> n >> m; for (int i = 0; i < m; i++) { cin >> u[i] >> v[i] >> c[i] >> t[i]; u[i]--; v[i]--; edg[v[i]].push_back(i); edg[u[i]].push_back(i); tim.push_back(t[i]); } for (int i = 0; i < n; i++) { sort(edg[i].begin(), edg[i].end(), cmp); int num = 0; for (int e = 0; e < int(edg[i].size()); e++) { int pt = e + 1; while (pt < int(edg[i].size()) && c[edg[i][pt - 1]] == c[edg[i][pt]]) pt++; if (pt - e > 2) return cout << "No\n", 0; if (pt - e == 2) { num++; if (num == 2) return cout << "No\n", 0; bad.push_back({edg[i][e], edg[i][e + 1]}); e++; } } } sort(tim.begin(), tim.end()); tim.resize(unique(tim.begin(), tim.end()) - tim.begin()); int l = -1, r = int(tim.size()); while (l + 1 < r) { int mid = (l + r) / 2; if (check(tim[mid])) r = mid; else l = mid; } if (r == int(tim.size())) return cout << "No\n", 0; check(tim[r]); cout << "Yes\n" << tim[r] << ' ' << ans.size() << '\n'; for (auto a : ans) cout << a + 1 << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; struct gr { int v, u, c, t; }; const int maxn = 3e5 + 20, INF = 1e9; int n, m, comp[maxn], sz[2 * maxn], szrev[maxn]; bool mark[maxn]; vector<int> adj[maxn]; vector<int> edges[maxn], revedges[maxn], vec, tme; gr e[maxn]; bool cmp(int x, int y) { return (e[x].c < e[y].c); } inline int nt(int x) { return x ^ 1; } inline void add_edge(int x, int y) { edges[x].push_back(y); revedges[y].push_back(x); } inline void add_cl(int x, int y) { add_edge(nt(x), y); add_edge(nt(y), x); } void dfs1(int v) { mark[v] = 1; for (auto u : edges[v]) { if (!mark[u]) { dfs1(u); } } vec.push_back(v); } void dfs2(int v, int c) { comp[v] = c; for (auto u : revedges[v]) { if (!comp[u]) { dfs2(u, c); } } } int nxt; inline bool check(long long val) { vec.clear(); for (int i = 0; i < nxt; ++i) { mark[i] = 0; comp[i] = 0; edges[i].resize(sz[i]); revedges[i].resize(szrev[i]); } for (int i = 0; i < m; ++i) { if (e[i].t > val) { add_cl(nt(2 * i), nt(2 * i)); } } for (int i = 0; i < nxt; ++i) { if (!mark[i]) { dfs1(i); } } reverse(vec.begin(), vec.end()); int cnt = 1; for (int i : vec) { if (!comp[i]) { dfs2(i, cnt); cnt++; } } for (int i = 0; i < nxt; i += 2) { if (comp[i] == comp[nt(i)]) { return 0; } } return 1; } inline void setup() { nxt = 2 * m; for (int i = 0; i < maxn; ++i) { edges[i].clear(); revedges[i].clear(); } for (int i = 0; i < n; ++i) { int prv = nxt, cnt = 0; if (adj[i].size()) { add_cl(nt(2 * adj[i][0]), prv); nxt += 2; } for (int j = 1; j < adj[i].size(); ++j) { int u = adj[i][j - 1], v = adj[i][j]; int curr = nxt; nxt += 2; if (e[u].c == e[v].c) { cnt++; if (cnt > 1) { cout << "No" << endl; exit(0); } add_cl(2 * u, 2 * v); } else { cnt = 0; } add_cl(nt(2 * v), curr); add_cl(nt(prv), curr); add_cl(nt(prv), nt(2 * v)); prv = curr; } } for (int i = 0; i < maxn; ++i) { sz[i] = edges[i].size(); szrev[i] = revedges[i].size(); } } int main() { cin >> n >> m; for (int i = 0; i < m; ++i) { int x, y, c, t; cin >> x >> y >> c >> t; x--; y--; e[i].v = x; e[i].u = y; e[i].c = c; e[i].t = t; adj[x].push_back(i); adj[y].push_back(i); tme.push_back(t); } for (int i = 0; i < n; ++i) { sort(adj[i].begin(), adj[i].end(), cmp); } tme.push_back(0); sort(tme.begin(), tme.end()); tme.resize(unique(tme.begin(), tme.end()) - tme.begin()); setup(); long long l = -1, r = tme.size(); while (l < r - 1) { long long m = (l + r) / 2; if (check(tme[m])) { r = m; } else { l = m; } } if (r == tme.size()) { cout << "No" << endl; return 0; } check(tme[r]); cout << "Yes" << endl; fill(mark, mark + maxn, 0); vector<int> ans; for (int i = 0; i < nxt; i += 2) { int v = comp[i], u = comp[nt(i)]; mark[min(v, u)] = 0; mark[max(v, u)] = 1; } for (int i = 0; i < m; ++i) { if (mark[comp[2 * i]]) { ans.push_back(i + 1); } } cout << tme[r] << ' ' << ans.size() << endl; for (auto u : ans) { cout << u << ' '; } cout << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 50000; const int MAXV = 6 * MAXN; const int MAXE = 20 * MAXN; struct Graph { struct edge { int to; edge *nxt; } edges[MAXE + 5], *adj[MAXV + 5], *ecnt; Graph() { ecnt = edges; } void addedge(int u, int v) { edge *p = (++ecnt); p->to = v, p->nxt = adj[u], adj[u] = p; } } G1, G2; int n, m, cnt; struct edge { int u, v, c, t, id; edge() {} edge(int _u, int _v, int _c, int _t, int _id) : u(_u), v(_v), c(_c), t(_t), id(_id) {} } e[MAXN + 5]; bool cmp(const edge &a, const edge &b) { return a.t < b.t; } int dfn[MAXV + 5], low[MAXV + 5], id[MAXV + 5]; int stk[MAXV + 5], tp, dcnt, tot; void dfs(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool check(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs(i); for (int i = 0; i < m; i++) { if (id[i << 1] == id[i << 1 | 1]) return false; } return true; } vector<int> v1[MAXV + 5]; void dfs2(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs2(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { v1[tot].push_back(stk[tp]); id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool tag[MAXV + 5]; vector<int> ans; void print(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs2(i); for (int i = 1; i <= tot; i++) { for (int j = 0; j < (int)v1[i].size(); j++) { int x = v1[i][j]; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) if (tag[id[p->to]]) tag[i] = true; } if (!tag[i]) { for (int j = 0; j < (int)v1[i].size(); j++) if (v1[i][j] < 2 * m) tag[id[v1[i][j] ^ 1]] = true; } } for (int i = 0; i < m; i++) { if (tag[id[i << 1]]) ans.push_back(i + 1); } printf("%d\n", ans.size()); for (int i = 0; i < (int)ans.size(); i++) printf("%d ", ans[i]); } map<int, int> mp; vector<edge> vec[MAXN + 5]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v, c, t; scanf("%d%d%d%d", &u, &v, &c, &t); e[i] = edge(u, v, c, t, i); vec[u].push_back(e[i]), vec[v].push_back(e[i]); } cnt = 2 * m; for (int i = 1; i <= n; i++) { bool flag = false; mp.clear(); for (int j = 0; j < (int)vec[i].size(); j++) { if (mp.count(vec[i][j].c)) { if (flag) puts("No"), exit(0); else flag = true; int x = vec[i][j].id, y = mp[vec[i][j].c]; G1.addedge(x << 1, y << 1 | 1), G1.addedge(y << 1, x << 1 | 1); } else mp[vec[i][j].c] = vec[i][j].id; } if (vec[i].size() >= 2) { int lst = (vec[i][0].id << 1); for (int j = 1; j < (int)vec[i].size(); j++) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j + 1 == (int)vec[i].size()) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } lst = (vec[i][vec[i].size() - 1].id << 1); for (int j = (int)vec[i].size() - 2; j >= 0; j--) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j == 0) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } } } sort(e, e + m, cmp); if (!check(m - 1)) puts("No"), exit(0); else puts("Yes"); int le = -1, ri = m - 1; while (le < ri) { int mid = (le + ri) >> 1; if (check(mid)) ri = mid; else le = mid + 1; } printf("%d ", le == -1 ? 0 : e[le].t), print(le); }
#include <bits/stdc++.h> using namespace std; const int N = 5e5 + 100; const int sq = 316; const long long int mod = 998244353; const int inf = 1e9 + 100; int n, m, com = 0; int c[N], t[N], bl[N]; bool mark[N]; vector<int> in[N], out[N], adj[N], tp, ans; vector<pair<int, int>> e, edge, tmp; inline void cl() { tp.clear(); com = 0; for (int i = 0; i < N; i++) { bl[i] = mark[i] = 0; out[i].clear(); in[i].clear(); } } void dfs(int u) { mark[u] = true; for (auto x : out[u]) { if (!mark[x]) dfs(x); } tp.push_back(u); } void rdfs(int u) { mark[u] = true; bl[u] = com; for (auto x : in[u]) { if (!mark[x]) rdfs(x); } } void add(int x, int y) { out[x].push_back(y); in[y].push_back(x); } bool check(int mid) { cl(); for (int i = 0; i < m; i++) { if (t[i] > mid) add(2 * i + 1, 2 * i); } for (auto it : e) { int x = it.first, y = it.second; add(2 * x, 2 * y + 1); add(2 * y, 2 * x + 1); } int pt = m; for (int u = 0; u < n; u++) { if (adj[u].size() == 0) continue; int x = adj[u][0]; for (int i = 1; i < adj[u].size(); i++) { int y = adj[u][i]; add(pt * 2, x * 2); add(x * 2 + 1, pt * 2 + 1); add(y * 2 + 1, x * 2); add(x * 2 + 1, y * 2); add(y * 2 + 1, pt * 2 + 1); add(pt * 2, y * 2); x = pt++; } } pt *= 2; for (int i = 0; i < pt; i++) { if (!mark[i]) dfs(i); } for (int i = 0; i < N; i++) mark[i] = 0; for (int i = tp.size() - 1; i >= 0; i--) { int u = tp[i]; if (!mark[u]) { com++; rdfs(u); } } for (int i = 0; i < pt / 2; i++) { if (bl[i * 2 + 1] == bl[i * 2]) return 0; } return 1; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { int x, y; cin >> x >> y >> c[i] >> t[i]; x--; y--; edge.push_back({x, y}); adj[x].push_back(i); adj[y].push_back(i); } bool fl = true; for (int u = 0; u < n; u++) { tmp.clear(); for (auto it : adj[u]) tmp.push_back({c[it], it}); sort(tmp.begin(), tmp.end()); adj[u].clear(); for (auto it : tmp) adj[u].push_back(it.second); int sztmp = int(tmp.size()); int k = 0; for (int i = 0; i < sztmp;) { int cnt = 0, cl = tmp[i].first; while (i < sztmp && tmp[i].first == cl) { cnt++; i++; } if (cnt > 2) { cout << "No" << endl; return 0; } if (cnt == 2) { e.push_back({tmp[i - 2].second, tmp[i - 1].second}); k++; } } if (k > 1) { cout << "No" << endl; return 0; } } int l = -1, r = inf; while (l + 1 < r) { int mid = (l + r) / 2; if (check(mid)) { r = mid; } else { l = mid; } } if (r >= inf) { cout << "No" << endl; return 0; } cout << "Yes" << endl << r << ' '; check(r); for (int i = 0; i < m; i++) { if (bl[i * 2] < bl[i * 2 + 1]) { ans.push_back(i + 1); } } cout << ans.size() << endl; for (auto it : ans) cout << it << ' '; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 5e4 + 10; long long int cnt; long long int tas; queue<int> q; map<int, int> mp[6 * maxn + 10]; bool mark[6 * maxn + 10]; bool t; bool k; int n; int m; vector<int> v[6 * maxn + 10]; vector<pair<int, pair<int, pair<int, int>>>> p; vector<int> addclause[6 * maxn + 10]; vector<int> rev[6 * maxn + 10]; vector<int> topol; int cmp[6 * maxn + 10]; long long int ans[6 * maxn + 10]; long long int res[6 * maxn + 10]; int NOT(int val) { if (val < 3 * maxn) { return val + (3 * maxn); } else { return val - (3 * maxn); } } void pAq(int a, int b) { addclause[NOT(a)].push_back((b)); addclause[NOT(b)].push_back((a)); rev[(a)].push_back(NOT(b)); rev[(b)].push_back(NOT(a)); } void PQ(int a, int b) { addclause[NOT(a)].pop_back(); addclause[NOT(b)].pop_back(); rev[(a)].pop_back(); rev[(b)].pop_back(); } void sfd(int u, long long int tas) { mark[u] = true; cmp[u] = tas; for (int i = 0; i < rev[u].size(); i++) { if (mark[rev[u][i]] == false) { sfd(rev[u][i], tas); } } } void dfs(int u) { mark[u] = true; for (int i = 0; i < addclause[u].size(); i++) { if (mark[addclause[u][i]] == false) { dfs(addclause[u][i]); } } topol.push_back(u); return; } int check(int u) { tas = 0; vector<pair<int, int>> o; for (int i = 1; i <= m; i++) { if (p[i].second.second.second > u) { pAq(NOT(i), NOT(i)); o.push_back({NOT(i), NOT(i)}); } } memset(mark, 0, sizeof(mark)); for (int i = 1; i <= 6 * maxn; i++) { if (mark[i] == false) { dfs(i); } } reverse(topol.begin(), topol.end()); memset(mark, 0, sizeof(mark)); for (int i = 0; i < 6 * maxn; i++) { if (mark[topol[i]] == false) { sfd(topol[i], tas++); } } topol.clear(); int w = 0; for (int i = 1; i <= m; i++) { if (u == 1e9 + 1) { } if (cmp[i] == cmp[NOT(i)]) { w = 1; } } for (int i = 0; i < o.size(); i++) { int r = o[i].first; int e = o[i].second; PQ(r, e); } if (w == 1) { return 0; } return 1; } int main() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n >> m; p.push_back({0, {0, {0, 0}}}); for (int i = 1; i <= m; i++) { int l; int r; int c; int t; cin >> l >> r >> c >> t; v[l].push_back(i); v[r].push_back(i); p.push_back({l, {r, {c, t}}}); if (mp[l][c] == 0) { res[l]++; mp[l][c] = i; } else if (mp[l][c] != 1e9) { pAq(i, (mp[l][c])); pAq(NOT(i), NOT(mp[l][c])); mp[l][c] = 1e9; } if (mp[r][c] == 0) { res[r]++; mp[r][c] = i; } else if (mp[r][c] != 1e9) { pAq(i, (mp[r][c])); pAq(NOT(i), NOT(mp[r][c])); mp[r][c] = 1e9; } ans[l]++; ans[r]++; } cnt = m + 1; for (int i = 1; i <= n; i++) { if (ans[i] - res[i] > 1) { cout << "No"; return 0; } } for (int i = 1; i <= n; i++) { if (ans[i] - res[i] == 0) { for (int j = 0; j < v[i].size(); j++) { if (j >= 1) { pAq(NOT(v[i][j]), NOT(j + cnt - 1)); pAq(NOT(j + cnt - 1), j + cnt); } pAq(NOT(v[i][j]), j + cnt); } cnt += v[i].size(); } else { for (int j = 0; j < v[i].size(); j++) { if (mp[i][p[v[i][j]].second.second.first] != 1e9) { pAq(NOT(v[i][j]), NOT(v[i][j])); } } } } int r = 1e9 + 1; int l = -1; while (l != r - 1) { int mid = (l + r) >> 1; if (check(mid) == 1) { r = mid; } else { l = mid; } } if (check(r) == 0) { cout << "No"; return 0; } cout << "Yes" << endl; int u = 0; vector<int> op; for (int i = 1; i <= m; i++) { if (cmp[i] > cmp[NOT(i)]) { op.push_back(i); u = max(u, p[i].second.second.second); } } cout << u << " "; cout << op.size() << endl; for (int i = 0; i < op.size(); i++) { cout << op[i] << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 5e5 + 100; const int sq = 316; const long long int mod = 998244353; const int inf = 1e9 + 100; int n, m, com = 0; int c[N], t[N], bl[N]; bool mark[N]; vector<int> in[N], out[N], adj[N], tp, ans; vector<pair<int, int>> e, edge, tmp; inline void cl() { tp.clear(); com = 0; for (int i = 0; i < N; i++) { bl[i] = mark[i] = 0; out[i].clear(); in[i].clear(); } } void dfs(int u) { mark[u] = true; for (auto x : out[u]) { if (!mark[x]) dfs(x); } tp.push_back(u); } void rdfs(int u) { mark[u] = true; bl[u] = com; for (auto x : in[u]) { if (!mark[x]) rdfs(x); } } void add(int x, int y) { out[x].push_back(y); in[y].push_back(x); } bool check(int mid) { cl(); for (int i = 0; i < m; i++) { if (t[i] > mid) add(2 * i + 1, 2 * i); } for (auto it : e) { int x = it.first, y = it.second; add(2 * x, 2 * y + 1); add(2 * y, 2 * x + 1); } int pt = m; for (int u = 0; u < n; u++) { if (adj[u].size() == 0) continue; int x = adj[u][0]; for (int i = 1; i < adj[u].size(); i++) { int y = adj[u][i]; add(pt * 2, x * 2); add(x * 2 + 1, pt * 2 + 1); add(y * 2 + 1, x * 2); add(x * 2 + 1, y * 2); add(y * 2 + 1, pt * 2 + 1); add(pt * 2, y * 2); x = pt++; } } pt *= 2; for (int i = 0; i < pt; i++) { if (!mark[i]) dfs(i); } for (int i = 0; i < N; i++) mark[i] = 0; for (int i = tp.size() - 1; i >= 0; i--) { int u = tp[i]; if (!mark[u]) { com++; rdfs(u); } } for (int i = 0; i < pt / 2; i++) { if (bl[i * 2 + 1] == bl[i * 2]) return 0; } return 1; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { int x, y; cin >> x >> y >> c[i] >> t[i]; x--; y--; edge.push_back({x, y}); adj[x].push_back(i); adj[y].push_back(i); } bool fl = true; for (int u = 0; u < n; u++) { tmp.clear(); for (auto it : adj[u]) tmp.push_back({c[it], it}); sort(tmp.begin(), tmp.end()); adj[u].clear(); for (auto it : tmp) adj[u].push_back(it.second); int sztmp = int(tmp.size()); int k = 0; for (int i = 0; i < sztmp;) { int cnt = 0, cl = tmp[i].first; while (i < sztmp && tmp[i].first == cl) { cnt++; i++; } if (cnt > 2) { cout << "No" << endl; return 0; } if (cnt == 2) { e.push_back({tmp[i - 2].second, tmp[i - 1].second}); k++; } } if (k > 1) { cout << "No" << endl; return 0; } } int l = -1, r = inf; while (l + 1 < r) { int mid = (l + r) / 2; if (check(mid)) { r = mid; } else { l = mid; } } if (r >= inf) { cout << "No" << endl; return 0; } cout << "Yes" << endl << r << ' '; check(r); for (int i = 0; i < m; i++) { if (bl[i * 2] < bl[i * 2 + 1]) { ans.push_back(i + 1); } } cout << ans.size() << endl; for (auto it : ans) cout << it << ' '; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 50000; const int MAXV = 6 * MAXN; const int MAXE = 20 * MAXN; struct Graph { struct edge { int to; edge *nxt; } edges[MAXE + 5], *adj[MAXV + 5], *ecnt; Graph() { ecnt = edges; } void addedge(int u, int v) { edge *p = (++ecnt); p->to = v, p->nxt = adj[u], adj[u] = p; } } G1, G2; int n, m, cnt; struct edge { int u, v, c, t, id; edge() {} edge(int _u, int _v, int _c, int _t, int _id) : u(_u), v(_v), c(_c), t(_t), id(_id) {} } e[MAXN + 5]; bool cmp(const edge &a, const edge &b) { return a.t < b.t; } int dfn[MAXV + 5], low[MAXV + 5], id[MAXV + 5]; int stk[MAXV + 5], tp, dcnt, tot; void dfs(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool check(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs(i); for (int i = 0; i < m; i++) { if (id[i << 1] == id[i << 1 | 1]) return false; } return true; } vector<int> v1[MAXV + 5]; void dfs2(int x) { dfn[x] = low[x] = (++dcnt), stk[++tp] = x; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) { if (dfn[p->to]) { if (!id[p->to]) low[x] = min(low[x], dfn[p->to]); } else dfs2(p->to), low[x] = min(low[x], low[p->to]); } if (low[x] >= dfn[x]) { tot++; do { v1[tot].push_back(stk[tp]); id[stk[tp]] = tot; } while (stk[tp--] != x); } } bool tag[MAXV + 5]; vector<int> ans; void print(int x) { G2 = G1; for (int i = x + 1; i < m; i++) G2.addedge(e[i].id << 1 | 1, e[i].id << 1); for (int i = 0; i < cnt; i++) dfn[i] = low[i] = id[i] = 0; dcnt = tot = 0; for (int i = 0; i < cnt; i++) if (!dfn[i]) dfs2(i); for (int i = 1; i <= tot; i++) { for (int j = 0; j < (int)v1[i].size(); j++) { int x = v1[i][j]; for (Graph::edge *p = G2.adj[x]; p; p = p->nxt) if (tag[id[p->to]]) tag[i] = true; } if (!tag[i]) { for (int j = 0; j < (int)v1[i].size(); j++) if (v1[i][j] < 2 * m) tag[id[v1[i][j] ^ 1]] = true; } } for (int i = 0; i < m; i++) { if (tag[id[i << 1]]) ans.push_back(i + 1); } printf("%d\n", ans.size()); for (int i = 0; i < (int)ans.size(); i++) printf("%d ", ans[i]); } map<int, int> mp; vector<edge> vec[MAXN + 5]; int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v, c, t; scanf("%d%d%d%d", &u, &v, &c, &t); e[i] = edge(u, v, c, t, i); vec[u].push_back(e[i]), vec[v].push_back(e[i]); } cnt = 2 * m; for (int i = 1; i <= n; i++) { bool flag = false; mp.clear(); for (int j = 0; j < (int)vec[i].size(); j++) { if (mp.count(vec[i][j].c)) { if (flag) puts("No"), exit(0); else flag = true; int x = vec[i][j].id, y = mp[vec[i][j].c]; G1.addedge(x << 1, y << 1 | 1), G1.addedge(y << 1, x << 1 | 1); } else mp[vec[i][j].c] = vec[i][j].id; } if (vec[i].size() >= 2) { int lst = (vec[i][0].id << 1); for (int j = 1; j < (int)vec[i].size(); j++) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j + 1 == (int)vec[i].size()) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } lst = (vec[i][vec[i].size() - 1].id << 1); for (int j = (int)vec[i].size() - 2; j >= 0; j--) { int x = vec[i][j].id; G1.addedge(x << 1 | 1, lst); if (j == 0) break; G1.addedge(cnt, x << 1), G1.addedge(cnt, lst); lst = cnt, cnt++; } } } sort(e, e + m, cmp); if (!check(m - 1)) puts("No"), exit(0); else puts("Yes"); int le = -1, ri = m - 1; while (le < ri) { int mid = (le + ri) >> 1; if (check(mid)) ri = mid; else le = mid + 1; } printf("%d ", le == -1 ? 0 : e[le].t), print(le); }
#include <bits/stdc++.h> using namespace std; bool mask[1006][1006]; void gen(int x) { int dl = (1 << (x - 1)); for (int i = 0; i < dl; i++) for (int j = 0; j < dl; j++) { mask[i + dl][j] = mask[i][j]; mask[i][j + dl] = mask[i][j]; mask[i + dl][j + dl] = !mask[i][j]; } } void wypisz(int k) { for (int i = 0; i < (1 << k); i++) { for (int j = 0; j < (1 << k); j++) if (mask[i][j]) printf("+"); else printf("*"); puts(""); } } int main() { int k; scanf("%d", &k); mask[0][0] = true; for (int i = 1; i <= k; i++) gen(i); wypisz(k); return 0; }
#include <bits/stdc++.h> using namespace std; int num[10] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512}; bool vis[515][515]; void dfs(int dep) { if (dep == 1) { vis[1][1] = vis[2][1] = vis[2][2] = 1; vis[1][2] = 0; return; } dfs(dep - 1); for (int i = 1; i <= num[dep - 1]; i++) { for (int j = 1; j <= num[dep - 1]; j++) vis[i + num[dep - 1]][j] = vis[i][j + num[dep - 1]] = vis[i][j], vis[i + num[dep - 1]][j + num[dep - 1]] = !vis[i][j]; } return; } int main() { int n; scanf("%d", &n); if (!n) { printf("+\n"); return 0; } dfs(n); for (int i = 1; i <= num[n]; i++) { for (int j = 1; j <= num[n]; j++) { if (vis[i][j]) printf("+"); else printf("*"); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long n; cin >> n; vector<vector<int> > numbers; numbers.push_back(vector<int>(1, 0)); for (int i = 1; i <= n; i++) { vector<vector<int> > new_numbers; for (auto &n : numbers) { vector<int> first; vector<int> second; for (auto &b : n) { first.push_back(b); second.push_back(b); } for (auto &b : n) { first.push_back(b); second.push_back(!b); } new_numbers.push_back(first); new_numbers.push_back(second); } numbers = new_numbers; } for (auto &n : numbers) { for (auto &b : n) { if (b) { cout << "*"; } else { cout << "+"; } } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; string d[10][550]; int k; string mokh(string a) { for (int i = 0; i < a.size(); ++i) { if (a[i] == '*') { a[i] = '+'; continue; } if (a[i] == '+') a[i] = '*'; } return a; } int power(int a) { int ans = 1; while (a) { ans *= 2; a--; } return ans; } int main() { d[0][0] = "*"; cin >> k; string help, help1; for (int i = 1; i < k + 1; ++i) { for (int j = 0; j < power(i - 1); ++j) { d[i][j] = d[i - 1][j]; help = d[i][j] + d[i - 1][j]; d[i][j] = help; } for (int j = power(i - 1); j < power(i); ++j) { d[i][j] = d[i - 1][j - power(i - 1)]; help1 = mokh(d[i - 1][j - power(i - 1)]); help = d[i][j] + help1; d[i][j] = help; } } for (int i = 0; i < power(k); ++i) cout << d[k][i] << endl; }
#include <bits/stdc++.h> using namespace std; const int nm = 1e5 + 10; int n; char ans[600][600]; void go() { ans[0][0] = '+'; int res = 1, rec = 1; for (int k = 1; k < 10; k++) { rec = res << 1; int i = 0; for (; i < res; i++) { for (int j = res; j < rec; j++) ans[i][j] = ans[i][j - res]; } for (; i < rec; i++) { for (int j = 0; j < res; j++) ans[i][j] = ans[i - res][j]; for (int j = res; j < rec; j++) { if (ans[i][j - res] == '+') ans[i][j] = '*'; else ans[i][j] = '+'; } } res = rec; } } int main() { ios::sync_with_stdio(0), cin.tie(0); go(); while (cin >> n) { int m = 1 << n; for (int i = 0; i < m; i++) { for (int j = 0; j < m; j++) { cout << ans[i][j]; } cout << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > Trans(const vector<vector<int> >& first, const vector<vector<int> >& second, int n) { vector<vector<int> > result(2 * n, vector<int>(2 * n)); for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { result[i][j] = first[i][j]; result[i][j + n] = second[i][j]; result[i + n][j] = first[i][j]; result[i + n][j + n] = -second[i][j]; } } return result; } void print(const vector<vector<int> >& matrix) { for (size_t i = 0; i < matrix.size(); ++i) { for (size_t j = 0; j < matrix[0].size(); ++j) { if (matrix[i][j] == 1) { cout << '+'; } else { cout << '*'; } } cout << '\n'; } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int k; cin >> k; vector<vector<int> > array(1, vector<int>(1, 1)); int currentN = 1; for (int i = 0; i < k; ++i) { array = Trans(array, array, currentN); currentN *= 2; } print(array); return 0; }
#include <bits/stdc++.h> using namespace std; int t[2000][2000]; int n, m; int main() { ios_base::sync_with_stdio(0); int k; cin >> k; n = (1 << k); m = n / 2; for (int i = 1; i < n; i++) { if (true) { for (int j = 0; j < n; j++) t[i][j] = t[i - 1][j]; int block = i / 4; int period = i % 4; if (period == 0) { int len = n >> (__builtin_ctz(block)); for (int j = 0; j < n; j++) { int pos = j % len; int inv = (j / len); inv = min(inv, (n / len) - 1 - inv) & 1; if (inv) pos = len - pos - 1; int half = len / 2; int hh = half / 2; int hhh = hh / 2; if (pos < half) { if (pos >= hhh && pos - hhh < hh) t[i][j] ^= 1; } else { pos -= half; if (!(pos >= hhh && pos - hhh < hh)) t[i][j] ^= 1; } } } else { int shift = (period == 2 ? m / 2 : m); for (int j = 0; j < m; j++) t[i][j + shift] ^= 1; } } else { while (true) { bool go = false; for (int j = 0; j < i; j++) { int w = 0; for (int z = 0; z < n; z++) if (t[i][z] != t[j][z]) w++; if (w != m) { go = true; break; } } if (!go) break; int j = n - 1; while (t[i][j] == 1) { t[i][j--] ^= 1; } t[i][j] ^= 1; } } } for (int i = 1; i < n; i++) { for (int j = 0; j < i; j++) { int w = 0; for (int z = 0; z < n; z++) if (t[i][z] != t[j][z]) w++; if (w != m) cout << "Incorrect " << i << " " << j << endl; } } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) if (t[i][j] == 0) cout << "*"; else cout << "+"; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; string answer[512]; string change(string k) { string x = ""; for (int i = 0; i < k.length(); i++) { x += (k[i] == '+') ? "*" : "+"; } return x; } int main() { int k; cin >> k; if (k == 0) { cout << "+" << endl; return 0; } int cur = 2; answer[0] = "++"; answer[1] = "+*"; for (int j = 0; j < k - 1; j++) { string ans2[512]; for (int i = 0; i < cur; i++) { ans2[i] = answer[i]; ans2[i] += answer[i]; } for (int i = cur; i < 2 * cur; i++) { ans2[i] = answer[i - cur]; ans2[i] += change(answer[i - cur]); } cur *= 2; for (int i = 0; i < cur; i++) answer[i] = ans2[i]; } for (int i = 0; i < cur; i++) cout << answer[i] << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 1024; char sol[N][N]; int n; void rewrite(int m) { int k = m / 2; for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { sol[i + k][j] = sol[i][j]; sol[i][j + k] = sol[i][j]; } } for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { if (sol[i][j] == '*') sol[i + k][j + k] = '+'; else sol[i + k][j + k] = '*'; } } } void finish() { int LIM = 1 << n; for (int i = 0; i < LIM; i++) { for (int j = 0; j < LIM; j++) { printf("%c", sol[i][j]); } printf("\n"); } } int main() { scanf("%d", &n); sol[0][0] = '+'; for (int i = 1; i <= n; i++) rewrite((int)(1 << i)); finish(); return 0; }
#include <bits/stdc++.h> using namespace std; string rev(string s) { for (int i = 0; i < s.length(); i++) s[i] = s[i] == '+' ? '*' : '+'; return s; } int main() { ios_base::sync_with_stdio(0); int n; cin >> n; vector<string> v; v.push_back("+"); for (int i = 0; i < n; i++) { vector<string> w; for (string s : v) { w.push_back(s + s); w.push_back(s + rev(s)); } v = w; } for (string s : v) cout << s << '\n'; }
#include <bits/stdc++.h> using namespace std; template <typename T> T nextInt() { T x = 0, p = 1; char ch; do { ch = getchar(); } while (ch <= ' '); if (ch == '-') { p = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + (ch - '0'); ch = getchar(); } return x * p; } const int maxN = (int)5e2 + 10; const int INF = (int)1e9; const int mod = (int)1e9 + 7; const long long LLINF = (long long)1e18; long long a[maxN]; int n; bool ok = false; bool bad(int idx) { for (int i = 0; i < idx; ++i) { int r = 0; for (int j = 0; j < n; ++j) { if (((a[i] >> j) & 1) != ((a[idx] >> j) & 1)) { r--; } else { r++; } } if (r != 0) return true; } return false; } int cnt = 0; void print() { ok = 0; for (int i = 0; i < 30; ++i) putchar('-'); putchar('\n'); char f[] = {'*', '+'}; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { cout << f[(a[i] >> j) & 1]; } cout << '\n'; } cout << '\n'; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { cout << f[(a[i] >> j) & 1]; if (j == n / 2 - 1) putchar(' '); } cout << '\n'; if (i == n / 2 - 1) putchar('\n'); } cout << '\n'; for (int i = 0; i < 30; ++i) putchar('-'); putchar('\n'); } void dfs(int idx, int n) { if (idx == n) { print(); return; } for (long long mask = 0; mask < (1LL << n) && ok; ++mask) { a[idx] = mask; if (bad(idx)) continue; dfs(idx + 1, n); } } char rev(char x) { if (x == '+') return '*'; return '+'; } vector<vector<char> > build(int k) { vector<vector<char> > ret(1 << k, vector<char>(1 << k, '?')); if (k == 0) { ret[0][0] = '*'; return ret; } vector<vector<char> > prev = build(k - 1); int prevsz = (1 << k) / 2; for (int i = 0; i < prevsz; ++i) { for (int j = 0; j < prevsz; ++j) { ret[i][2 * j] = ret[i][2 * j + 1] = prev[i][j]; } } for (int j = prevsz - 1; j >= 0; --j) { for (int i = 0; i < prevsz; ++i) { ret[prevsz + i][2 * j + 1] = prev[i][j]; ret[prevsz + i][2 * j] = rev(prev[i][j]); } } return ret; } int main() { int k; cin >> k; vector<vector<char> > answer = build(k); for (int i = 0; i < answer.size(); ++i) { for (int j = 0; j < answer[i].size(); ++j) { putchar(answer[i][j]); } putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, k; pair<int, int> d[3] = {{0, 1}, {1, 0}, {1, 1}}; int b[550][550]; void rec(int k) { if (k == 1) { b[0][0] = 1; return; } if (k == 2) { b[0][0] = b[0][1] = b[1][0] = 1; b[1][1] = 0; return; } rec(k /= 2); for (int c = 0; c < 3; c++) { for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { b[i + d[c].first * k][j + d[c].second * k] = !b[i][j]; } } } } int main() { cin >> k; n = pow(2, k); rec(n); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) cout << (b[i][j] ? '+' : '*'); cout << endl; } return 0; }
#include <bits/stdc++.h> char arr[512][513]; char sam[513]; int main(void) { int k, y = 1, i, j, t; scanf("%d", &k); arr[0][0] = '+'; for (i = 0; i < k; i++, y *= 2) { for (j = 0; j < y; j++) { strcpy(sam, arr[j]); strcpy(arr[j] + y, sam); strcpy(arr[j + y], arr[j]); for (t = y; t < 2 * y; t++) { if (arr[j + y][t] == '+') arr[j + y][t] = '*'; else arr[j + y][t] = '+'; } } } for (i = 0; i < y; i++) printf("%s\n", arr[i]); return 0; }
#include <bits/stdc++.h> using namespace std; char arr[1000][1000]; int kk; void fill(int i, int j, bool inv) { if (inv) { arr[i][j] = '+'; arr[i + 1][j] = '+'; arr[i][j + 1] = '+'; arr[i + 1][j + 1] = '*'; } else { arr[i][j] = '*'; arr[i + 1][j] = '*'; arr[i][j + 1] = '*'; arr[i + 1][j + 1] = '+'; } } void solve(int k, int i, int j, bool inv) { if (k == 2) { fill(i, j, inv); fill(i + 2, j, inv); fill(i, j + 2, inv); fill(i + 2, j + 2, !inv); return; } int k1 = k - 1; solve(k1, i, j, !inv); solve(k1, i, j + (1 << k1), !inv); solve(k1, i + (1 << k1), j, !inv); solve(k1, i + (1 << k1), j + (1 << k1), inv); } void print(int n) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) printf("%c", arr[i][j]); printf("\n"); } } int main() { int k; cin >> k; if (k == 0) { printf("+\n"); return 0; } if (k == 1) { fill(0, 0, false); print(2); return 0; } solve(k, 0, 0, false); print(1 << k); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1024 + 100; bool a[maxn][maxn]; void build(int n) { if (n == 1) { a[1][1] = 1; return; } build(n - 1); for (int i = 0; i < (1 << (n - 1)); i++) for (int j = (1 << (n - 1)); j < (1 << n); j++) a[i][j] = !a[i][(1 << n) - j - 1]; for (int i = (1 << (n - 1)); i < (1 << n); i++) for (int j = 0; j < (1 << n); j++) if (j < (1 << (n - 1))) a[i][j] = a[i - (1 << (n - 1))][j]; else a[i][j] = a[i - (1 << (n - 1))][(1 << n) - 1 - j]; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; if (n == 0) { cout << "*" << endl; return 0; } build(n); for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < (1 << n); j++) cout << (a[i][j] ? '*' : '+'); cout << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int i, j, n, m, k; char a[1000][1000]; void solve(int n) { if (n == 1) { a[1][1] = '+'; return; } solve(n / 2); int m = n / 2; for (i = 1; i <= m; i++) for (j = 1; j <= m; j++) { a[j][n - i + 1] = a[i][j]; a[m + i][j] = a[i][j]; } for (i = 1; i <= m; i++) for (j = m + 1; j <= n; j++) a[i + m][j] = ((a[i][j] == '+') ? '*' : '+'); } int main() { cin >> k; int x = 1; for (i = 1; i <= k; i++) x *= 2; solve(x); for (i = 1; i <= x; i++) { for (j = 1; j <= x; j++) cout << a[i][j]; cout << endl; } }
#include <bits/stdc++.h> using namespace std; string a[2048]; void copy(int n) { for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) a[i].push_back('-'); for (int i = n; i < 2 * n; i++) for (int j = 0; j < 2 * n; j++) a[i].push_back('-'); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { a[i][j + n] = a[i][j]; a[i + n][j] = a[i][j]; if (a[i][j] == '+') a[i + n][j + n] = '*'; else a[i + n][j + n] = '+'; } } int main() { int k; cin >> k; int k2 = 1; if (k == 0) { cout << '+'; return 0; } a[0] = "+*"; a[1] = "++"; for (int i = 0; i < k - 1; i++) { k2 *= 2; copy(k2); } k2 *= 2; for (int i = 0; i < k2; i++) cout << a[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MX_SZ = 2069; int main() { ios_base::sync_with_stdio(false); int k; cin >> k; static bool arr[MX_SZ][MX_SZ]; for (int i = 0; i <= k; i++) { for (int j = 0; j < (1 << i); j++) { for (int k = 0; k < (1 << i); k++) { arr[j][(1 << i) + k] = arr[j][k]; } } for (int j = 0; j < (1 << i); j++) { for (int k = 0; k < (1 << i); k++) { arr[(1 << i) + j][k] = arr[j][k]; } } for (int j = 0; j < (1 << i); j++) { for (int k = 0; k < (1 << i); k++) { arr[(1 << i) + j][(1 << i) + k] = !arr[j][k]; } } } for (int i = 0; i < (1 << k); i++) { for (int j = 0; j < (1 << k); j++) { if (arr[i][j]) { cout << '*'; } else { cout << '+'; } } cout << '\n'; } }
#include <bits/stdc++.h> using namespace std; string dp[800][800]; int cnt[800]; string reverse_str(const string &base) { string res; for (int i = 0; i < base.size(); ++i) { if (base[i] == '+') res.push_back('*'); else res.push_back('+'); } return res; } void init() { for (int x = 0; x < 9; ++x) for (int i = 0; i < (1 << x); ++i) { int f = cnt[x + 1]++; dp[x + 1][f] = dp[x][i] + dp[x][i]; f = cnt[x + 1]++; dp[x + 1][f] = dp[x][i] + reverse_str(dp[x][i]); } } int main(int argc, char *argv[]) { dp[0][0] = "+"; init(); int k; cin >> k; for (int i = 0; i < (1 << k); ++i) cout << dp[k][i] << endl; return 0; }
#include <bits/stdc++.h> volatile bool isLocalTestEnabled = 0; bool g_isLocalPrintEnabled = (bool)(0); template <typename T> void UpdateMin(T& a, const T b) { a = std::min(a, b); } template <typename T> void UpdateMax(T& a, const T b) { a = std::max(a, b); } const long double Pi = std::atan(1.0L) * 4.0L; static const long double Eps = 1.0e-09; template <typename T> bool IsEqual(const T a, const T b) { return std::abs(a - b) < Eps; } template <typename T> bool IsGreater(const T a, const T b) { return a > b + Eps; } template <typename T> bool IsLess(const T a, const T b) { return a + Eps < b; } template <typename T> bool IsGreaterEqual(const T a, const T b) { return !IsLess(a, b); } template <typename T> bool IsLessEqual(const T a, const T b) { return !IsGreater(a, b); } template <typename T> std::string ToStr(const T& val) { std::ostringstream ostr; ostr << val; return ostr.str(); } template <typename T> bool FromStr(const std::string& str, T& val) { std::istringstream istr(str); istr >> val; return !!istr; } template <typename T> std::istream& operator>>(std::istream& ist, std::vector<T>& data) { ; for (size_t i = 0; i < data.size(); i++) { ist >> data[i]; } return ist; } template <typename T> T Read(std::istream& ist) { ; T val; ist >> val; return val; } template <typename T> std::ostream& operator<<(std::ostream& ost, const std::vector<T>& data) { for (size_t i = 0; i < data.size(); i++) { if (i != 0) { ost << ' '; } ost << data[i]; } return ost; } template <size_t id> class StopWatch {}; size_t Pow2(size_t k) { return 1U << k; } std::vector<std::vector<int32_t> > GetAns(const size_t k) { if (k == 0) { return std::vector<std::vector<int32_t> >(1, std::vector<int32_t>(1, 1)); } std::vector<std::vector<int32_t> > p = GetAns(k - 1); const size_t ps = p.size(); std::vector<std::vector<int32_t> > v(ps * 2, std::vector<int32_t>(ps * 2)); for (size_t i = 0; i < ps; i++) { for (size_t j = 0; j < ps; j++) { v[i][j] = p[i][j]; v[i][ps + j] = p[i][j]; v[ps + i][j] = p[i][j]; v[ps + i][ps + j] = -p[i][j]; } } return v; } std::vector<std::string> ToString(const std::vector<std::vector<int32_t> >& v) { std::vector<std::string> s(v.size(), std::string(v.size(), ' ')); for (size_t i = 0; i < v.size(); i++) { for (size_t j = 0; j < v[i].size(); j++) { if (v[i][j] == 1) { s[i][j] = '+'; } else if (v[i][j] == -1) { s[i][j] = '*'; } else { s[i][j] = '?'; } } } return s; } bool Solve(std::istream& ist, std::ostream& ost, const bool multipleTestMode) { StopWatch<1> sw; (void)sw; size_t k; ist >> k; if (multipleTestMode && !ist) return false; if (!g_isLocalPrintEnabled) { } else std::cout << std::endl << "Next test" << std::endl; const std::vector<std::vector<int32_t> > v = GetAns(k); const std::vector<std::string> s = ToString(v); for (size_t i = 0; i < s.size(); i++) { ost << s[i] << std::endl; }; return multipleTestMode; } int main(int argc, const char* argv[]) { std::ios_base::sync_with_stdio(false); std::istream* ist = &std::cin; std::ostream* ost = &std::cout; std::unique_ptr<std::istream> fileInput; if (argc > 1) { fileInput.reset(new std::ifstream(argv[1])); if (!(*fileInput)) { std::cout << "File not found: " << argv[1] << std::endl; } ist = fileInput.get(); } Solve(*ist, *ost, false); }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v; long long w; }; long long MOD = 1000000007; long long _MOD = 1000000009; double EPS = 1e-10; int a[512][512]; int main() { a[0][0] = 1; for (int k = 0; k < 9; k++) { int n = 1 << k; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) { a[n + i][j] = a[i][j]; a[i][n + j] = a[i][j]; a[n + i][n + j] = -a[i][j]; } } int k; cin >> k; int n = 1 << k; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) cout << (a[i][j] == 1 ? '+' : '*'); cout << endl; } }
#include <bits/stdc++.h> using namespace std; long long int arr[10][520][520]; void construct(long long int n) { if (n == 0) { arr[0][0][0] = 1; return; } else { construct(n - 1); long long int d = pow(2, n - 1); for (long long int z = 0; z < 4; z++) { long long int c = 1, rs, cs; if (z == 0) { rs = 0; cs = 0; } else if (z == 1) { rs = 0; cs = d; } else if (z == 2) { rs = d; cs = 0; } else if (z == 3) { rs = d; cs = d; c = -1; } for (long long int i = rs; i < rs + d; i++) { for (long long int j = cs; j < d + cs; j++) { arr[n][i][j] = arr[n - 1][i - rs][j - cs] * c; } } } } return; } void print(long long int n) { long long int d = pow(2, n); for (long long int i = 0; i < d; i++) { for (long long int j = 0; j < d; j++) { if (arr[n][i][j] == -1) printf("*"); else if (arr[n][i][j] == 1) printf("+"); } printf("\n"); } } int main() { long long int k; cin >> k; construct(k); print(k); return 0; }
#include <bits/stdc++.h> using namespace std; int arr[1 << 10][1 << 10]; void disp(int k) { for (int i = 0; i < (1 << k); i++) { for (int j = 0; j < (1 << k); j++) { if (arr[i][j] == 1) printf("+"); else printf("*"); } printf("\n"); } } int main() { int k; cin >> k; arr[0][0] = 1; arr[0][1] = 1; arr[1][0] = 1; arr[1][1] = -1; if (k == 1) { disp(1); return 0; } else { for (int i = 2; i <= k; i += 1) { for (int j = 0; j < (1 << (i - 1)); j++) { for (int k = (1 << (i - 1)); k < (1 << i); k++) { arr[j][k] = arr[j][k - (1 << (i - 1))]; } } for (int j = (1 << (i - 1)); j < (1 << i); j++) { for (int k = 0; k < (1 << (i - 1)); k++) { arr[j][k] = arr[j - (1 << (i - 1))][k]; } } for (int j = (1 << (i - 1)); j < (1 << i); j++) { for (int k = (1 << (i - 1)); k < (1 << i); k++) { arr[j][k] = -arr[j - (1 << (i - 1))][k - (1 << (i - 1))]; } } } disp(k); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int run = 1 << n; for (int i = 0; i < run; i++) { for (int j = 0; j < run; j++) { if (__builtin_parity(i & j)) cout << '*'; else cout << '+'; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; string a[1 << 10]; string inv(string fff) { string re; for (int i = 0; i < fff.size(); i++) { if (fff[i] == '+') re.push_back('*'); else re.push_back('+'); } return re; } int main() { int k; cin >> k; ios::sync_with_stdio(false); a[0].push_back('+'); int n; for (int i = 0; i < k; i++) { n = 1 << i; for (int i = 0; i < n; i++) { a[i + n] = a[i] + inv(a[i]); a[i] = a[i] + a[i]; } } n = 1 << k; for (int i = 0; i < n; i++) { cout << a[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; string rev(string s) { string res = ""; for (int i = 0; i < s.size(); ++i) { if (s[i] == '+') { res += '*'; } else { res += '+'; } } return res; } void solve() { long long int n; cin >> n; if (n == 0) { cout << "+" << endl; return; } vector<string> v; v.push_back("++"); v.push_back("+*"); while (n > 1) { vector<string> nv; for (int i = 0; i < v.size(); ++i) { nv.push_back(v[i]); nv[nv.size() - 1].append(v[i]); } for (int i = 0; i < v.size(); ++i) { nv.push_back(v[i]); nv[nv.size() - 1].append(rev(v[i])); } v = nv; n--; } for (int i = 0; i < v.size(); ++i) cout << v[i] << endl; } int main() { cin.sync_with_stdio(false); cout.sync_with_stdio(false); solve(); }
#include <bits/stdc++.h> using namespace std; int n, m = 1, a[512][512]; int main() { a[0][0] = 1, scanf("%d", &n); for (int i = 1; i <= n; i++) { for (int j = 0; j < m; j++) for (int k = m * 2 - 1; k >= 0; k--) a[j][k] = a[j][k / 2]; for (int j = m; j < m * 2; j++) for (int k = 0; k < m * 2; k++) a[j][k] = a[j - m][k]; for (int j = m; j < m * 2; j++) for (int k = 1; k < m * 2; k += 2) a[j][k] ^= 1; m *= 2; } for (int i = 0; i < m; i++) { for (int j = 0; j < m; j++) if (a[i][j] == 1) putchar('+'); else putchar('*'); putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; bool a[600][600]; int k, x = 0; int main() { cin >> k; a[0][0] = 1; for (int i = 0; i < k; i++) { x = 1 << i; for (int j = 0; j < (1 << i); j++) { for (int l = 0; l < (1 << i); l++) { a[j + x][l] = a[j][l]; a[j][l + x] = a[j][l]; a[j + x][l + x] = abs(a[j][l] - 1); } } } for (int j = 0; j < (1 << k); j++) { for (int l = 0; l < (1 << k); l++) { if (a[j][l] == 0) cout << '*'; else cout << '+'; } cout << '\n'; } return 0; }
#include <bits/stdc++.h> int a[1000][1000]; using namespace std; int main() { a[0][0] = 1; int c = 1; for (int i = 1; i <= 9; i++) { int nc = c * 2; for (int j = 0; j < c; j++) for (int k = c; k < nc; k++) a[j][k] = -a[j][nc - k - 1]; for (int j = c; j < nc; j++) { for (int k = 0; k < c; k++) a[j][k] = a[j - c][k]; for (int k = c; k < nc; k++) a[j][k] = a[j][nc - k - 1]; } c = nc; } int n; scanf("%d", &n); int l = 1 << n; for (int i = 0; i < l; i++, puts("")) for (int j = 0; j < l; j++) putchar(((a[i][j] == -1) ? ('*') : ('+'))); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:102400000,102400000") using namespace std; const long long MOD = 1e9 + 7; int n; int main() { cin >> n; int k = 0, t0 = 0, t1 = 0; int a[1025][1025]; a[1][1] = 1; while (k < n) { k++; t1 = 1 << (k); t0 = 1 << (k - 1); int b[t1 + 1][t1 + 1]; for (int i = 1; i <= t0; i++) { for (int j = 1; j <= t0; j++) b[i][j] = b[i][t0 + j] = b[i + t0][j] = a[i][j]; } for (int i = 1; i <= t0; i++) for (int j = 1; j <= t0; j++) b[t0 + i][j + t0] = 1 - a[i][j]; for (int i = 1; i <= t1; i++) for (int j = 1; j <= t1; j++) a[i][j] = b[i][j]; } for (int i = 1; i <= (1 << n); i++) { for (int j = 1; j <= (1 << n); j++) if (a[i][j] == 1) cout << "+"; else cout << "*"; cout << endl; } }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); int n; cin >> n; int run = 1 << n; for (int i = 0; i < run; i++) { for (int j = 0; j < run; j++) { if (__builtin_parity(i & j)) cout << '*'; else cout << '+'; } cout << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int k; string invert(string s) { for (int i = 0; i < s.length(); i++) { s[i] = (s[i] == '+' ? '*' : '+'); } return s; } vector<string> solve(int x) { if (x == 1) { vector<string> ans(2); ans[0] = "+*"; ans[1] = "++"; return ans; } vector<string> prev = solve(x - 1); vector<string> ans(1 << x); int half = (1 << x) / 2; for (int i = 0; i < half; i++) { ans[i] = prev[i] + prev[i]; ans[i + half] = prev[i] + invert(prev[i]); } return ans; } vector<string> ans; int main() { ios_base::sync_with_stdio(false); cin >> k; if (k == 0) { cout << "+" << endl; return 0; } ans = solve(k); for (int i = 0; i < (1 << k); i++) { cout << ans[i] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 512 + 5; const int INF = 0x3f3f3f3f; const double eps = 1e-6; const double pi = acos(-1.0); const int mod = 1e9 + 7; int k; int a[N][N]; void rec(int n, int x, int y, int v) { if (n == 1) a[x][y] = v; else { rec(n / 2, x, y, v); rec(n / 2, x + n / 2, y, v); rec(n / 2, x, y + n / 2, v); rec(n / 2, x + n / 2, y + n / 2, -v); } } int main() { scanf("%d", &k); rec(1 << k, 1, 1, 1); int i, j; for (i = 1; i <= (1 << k); ++i) { for (j = 1; j <= (1 << k); ++j) { if (a[i][j] == 1) printf("+"); else printf("*"); } puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; string inv(string str) { string res = ""; for (int i = 0; i < (str.length()); ++i) { if (str[i] == '+') res += "*"; else res += "+"; } return res; } bool check(string a, string b) { int sum = 0; for (int i = 0; i < (a.length()); ++i) { if (a[i] != b[i]) sum--; else sum++; } return sum == 0; } bool verify(vector<string> stuff) { for (int i = 0; i < (int((stuff).size())); ++i) { for (int j = i + 1; j < int((stuff).size()); j++) { if (!check(stuff[i], stuff[j])) return false; } } return true; } int main() { cin.tie(0); cout.tie(0); int k; int cnt = 1; cin >> k; if (k == 0) { cout << "+" << endl; return 0; } else if (k == 1) { cout << "++" << endl; cout << "+*" << endl; return 0; } else if (k == 2) { cout << "++**" << endl; cout << "+*+*" << endl; cout << "++++" << endl; cout << "+**+" << endl; return 0; } vector<string> stuff; stuff.push_back("++**"); stuff.push_back("+*+*"); stuff.push_back("++++"); stuff.push_back("+**+"); for (int i = 3; i <= k; i++) { vector<string> newstuff; for (int i = 0; i < (int((stuff).size())); ++i) { newstuff.push_back(stuff[i] + stuff[i]); newstuff.push_back(stuff[i] + inv(stuff[i])); } stuff.clear(); for (int i = 0; i < (int((newstuff).size())); ++i) stuff.push_back(newstuff[i]); } for (int i = 0; i < (int((stuff).size())); ++i) { cout << stuff[i] << endl; } }
#include <bits/stdc++.h> using namespace std; int n; char a[1300][1300]; void solve() { scanf("%d", &n); a[1][1] = '+'; int sz = 1; for (int rnd = 1; rnd <= n; ++rnd) { for (int i = 1; i <= sz; ++i) { for (int j = 1; j <= sz; ++j) { if (a[i][j] == '+') { a[i + sz][j] = a[i][j + sz] = '+'; a[i + sz][j + sz] = '*'; } else { a[i + sz][j] = a[i][j + sz] = '*'; a[i + sz][j + sz] = '+'; } } } sz <<= 1; } for (int i = 1; i <= sz; ++i) { for (int j = 1; j <= sz; ++j) { printf("%c", a[i][j]); } printf("\n"); } } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > har[10]; int main() { ios_base::sync_with_stdio(false); int n; cin >> n; har[0].resize(1); har[0][0].push_back(1); for (int i = 1; i <= 9; i++) { har[i].resize(1 << i); int size = (1 << i) / 2; for (int j = 0; j < (1 << i); j++) { har[i][j].resize(1 << i); for (int l = 0; l < (1 << i); l++) { har[i][j][l] = har[i - 1][j % size][l % size]; if (j >= size && l >= size) har[i][j][l] ^= 1; } } } for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < (1 << n); j++) { if (har[n][i][j]) cout << "+"; else cout << "*"; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> T sqr(T x) { return x * x; } template <class T> T gcd(T a, T b) { return (b != 0 ? gcd<T>(b, a % b) : a); } template <class T> T lcm(T a, T b) { return (a / gcd<T>(a, b) * b); } template <class T> inline T bigmod(T p, T e, T M) { if (e == 0) return 1; if (e % 2 == 0) { long long int t = bigmod(p, e / 2, M); return (T)((t * t) % M); } return (T)((long long int)bigmod(p, e - 1, M) * (long long int)p) % M; } template <class T> inline T bigexp(T p, T e) { if (e == 0) return 1; if (e % 2 == 0) { long long int t = bigexp(p, e / 2); return (T)((t * t)); } return (T)((long long int)bigexp(p, e - 1) * (long long int)p); } template <class T> inline T modinverse(T a, T M) { return bigmod(a, M - 2, M); } int dx4[] = {1, 0, -1, 0}; int dy4[] = {0, 1, 0, -1}; int dx8[] = {1, 1, 0, -1, -1, -1, 0, 1}; int dy8[] = {0, 1, 1, 1, 0, -1, -1, -1}; int month[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; char dp[1005][1005]; int p, q, n; int main() { scanf("%d", &n); dp[0][0] = '+'; for (int i = 1; i <= n; i++) { q = bigexp(2, i - 1); for (__typeof(q - 1) j = (0); j <= (q - 1); j++) for (__typeof(q - 1) k = (0); k <= (q - 1); k++) { dp[j][k + q] = dp[j][k]; dp[j + q][k] = dp[j][k]; if (dp[j][k] == '+') dp[j + q][q + k] = '*'; else dp[j + q][q + k] = '+'; } } p = bigexp(2, n); for (int i = 0; i < p; i++) { for (int j = 0; j < p; j++) printf("%c", dp[i][j]); printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; int k; char a[620][620]; int main() { ios_base::sync_with_stdio(false); cin >> k; if (k == 1) { cout << "++" << endl << "+*"; return 0; } a[1][1] = a[1][2] = a[2][1] = '+'; a[2][2] = '*'; for (int i = 2; i <= k; i++) { int hs = (1 << (i - 1)); for (int xi = hs + 1; xi <= 2 * hs; xi++) for (int xj = 1; xj <= hs; xj++) a[xi][xj] = a[xi - hs][xj]; for (int xi = hs + 1; xi <= 2 * hs; xi++) { int cnt = 1; for (int xj = 1; xj <= hs; xj++) a[xi][2 * hs - cnt + 1] = a[xi][xj], cnt++; } for (int xi = 1; xi <= hs; xi++) { int cnt = 1; for (int xj = 1; xj <= hs; xj++) a[xi][2 * hs - cnt + 1] = a[xi][xj], cnt++; } for (int xi = 1; xi <= hs; xi++) { for (int xj = hs + 1; xj <= 2 * hs; xj++) if (a[xi][xj] == '+') a[xi][xj] = '*'; else a[xi][xj] = '+'; } } int sl = (1 << k); for (int i = 1; i <= sl; i++) { for (int j = 1; j <= sl; j++) cout << a[i][j]; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<vector<bool> > a(1 << n, vector<bool>(1 << n, 0)); for (int p = 0; p < n; p++) { int k = (1 << (p)); for (int i = 0; i < k; i++) for (int j = 0; j < k; j++) { a[i][j + k] = a[i][j]; a[i + k][j] = a[i][j]; a[i + k][j + k] = !a[i][j]; } } for (int i = 0; i < 1 << n; i++) { for (int j = 0; j < 1 << n; j++) { if (a[i][j]) cout << '*'; else cout << '+'; } cout << endl; } }
#include <bits/stdc++.h> using namespace std; int ans[2000][2000]; int n; void build(int n) { if (n == 0) ans[0][0] = 1; else { build(n - 1); for (int i = 0; i < (1 << (n - 1)); i++) for (int j = (1 << (n - 1)); j < (1 << (n)); j++) ans[i][j] = ans[i][j - (1 << (n - 1))]; for (int i = (1 << (n - 1)); i < (1 << (n)); i++) for (int j = 0; j < (1 << (n - 1)); j++) ans[i][j] = ans[i - (1 << (n - 1))][j]; for (int i = (1 << (n - 1)); i < (1 << (n)); i++) for (int j = (1 << (n - 1)); j < (1 << (n)); j++) ans[i][j] = 1 - ans[i - (1 << (n - 1))][j - (1 << (n - 1))]; } } int main() { cin >> n; build(n); for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < (1 << n); j++) if (ans[i][j]) printf("+"); else printf("*"); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0); cin.tie(0); int k; cin >> k; if (k == 0) return cout << "+\n", 0; vector<string> ats = {"++", "+*"}; while (ats.size() < (1 << k)) { auto cp = ats; for (auto& s : cp) for (auto& ch : s) ch = (ch == '+' ? '*' : '+'); for (int i = 0; i < cp.size(); i++) { ats.push_back(ats[i] + cp[i]); ats[i] += ats[i]; } } for (auto& s : ats) cout << s << "\n"; }
#include <bits/stdc++.h> using namespace std; char x[1000][1000]; int main() { int a, b = 2; x[1][1] = '+'; x[1][2] = '+'; x[2][1] = '+'; x[2][2] = '*'; cin >> a; if (a == 0) { cout << "+"; return 0; } while (a != 1) { for (int i = 1; i <= b; i++) for (int j = 1; j <= b; j++) { x[i + b][j] = x[i][j]; x[i][j + b] = x[i][j]; if (x[i][j] == '+') x[i + b][j + b] = '*'; else x[i + b][j + b] = '+'; } b = b * 2; a--; } for (int i = 1; i <= b; i++) { for (int j = 1; j <= b; j++) cout << x[i][j]; cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n; int ans[2][1010][1010]; int main() { int n; scanf("%d", &n); int p = 0, q = 1; ans[q][0][0] = 0; for (int i = 0; i < n; i++) { swap(p, q); for (int j = 0; j < (1 << i); j++) { for (int k = 0; k < (1 << i); k++) { ans[q][j * 2][k * 2] = ans[p][j][k]; ans[q][j * 2][k * 2 + 1] = ans[p][j][k]; ans[q][j * 2 + 1][k * 2] = 1 - ans[p][j][k]; ans[q][j * 2 + 1][k * 2 + 1] = ans[p][j][k]; } } } for (int i = 0; i < (1 << n); i++) { for (int j = 0; j < (1 << n); j++) { if (ans[q][i][j]) printf("+"); else printf("*"); } printf("\n"); } }
#include <bits/stdc++.h> using namespace std; const int MAX = 1 << 9; int k; bool ans[MAX][MAX]; void f(int n) { if (n == 1) { ans[0][0] = 1; return; } int m = n / 2; f(m); for (int i = 0; i < m; i++) for (int j = 0; j < m; j++) { int x = ans[i][j]; ans[i + m][j] = x; ans[i][j + m] = x; ans[i + m][j + m] = !x; } } int main(int argc, char **argv) { ios_base::sync_with_stdio(0); cin >> k; int n = 1 << k; f(n); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) cout << (ans[i][j] ? '+' : '*'); cout << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; string inverse(string s) { string ret(((int)(s).size()), 0); for (int i = 0; i < ((int)(s).size()); ++i) { ret[i] = s[i] == '*' ? '+' : '*'; } return ret; } int main() { ios::sync_with_stdio(false); int n; cin >> n; vector<string> ans = {"+"}; for (int i = 1; i <= n; ++i) { vector<string> nans = ans; int m = ((int)(ans).size()); for (int i = 0; i < m; ++i) { string p = inverse(ans[i]); nans.push_back(p); } for (int i = 2 * m - 1; i >= 0; --i) { nans[i] += nans[i % m]; } ans = nans; } for (const string& p : ans) cout << p << '\n'; }
#include <bits/stdc++.h> using namespace std; const int N = 555; int a[N][N]; int n, k; void Work(int Line, int i, int j, int col) { if (!Line) { a[i][j] = col; return; } Work(Line - 1, i, j, col); Work(Line - 1, i, j + (1 << (Line - 1)), col); Work(Line - 1, i + (1 << (Line - 1)), j, col); Work(Line - 1, i + (1 << (Line - 1)), j + (1 << (Line - 1)), -col); } int main() { scanf("%d", &k); n = 1 << k; Work(k, 1, 1, -1); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) if (a[i][j] > 0) printf("+"); else printf("*"); puts(""); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> T gcd(T a, T b) { while (b) { T c = a % b; a = b; b = c; } return a; } template <typename T> T lcm(T a, T b) { assert(a / gcd(a, b) <= numeric_limits<T>::max() / b); return a * (b / gcd(a, b)); } class out { public: template <typename T> out &operator()(const T &t) { cout << t << ' '; return *this; } template <typename T1, typename T2> out &operator()(const pair<T1, T2> &t) { cout << '(' << t.first << ',' << t.second << ')' << ' '; return *this; } }; template <typename iter> inline void print_(iter beg, iter end) { cout << endl; for_each(beg, end, out()); cout << endl; } template <typename T> inline void print_(const T &t) { cout << endl << t << endl; } inline void print_(const char *t) { cout << endl << t << endl; } template <typename T, unsigned int M> inline void print_(const T (&t)[M]) { cout << endl; for (unsigned int i = 0; i < M; ++i) { cout << t[i] << ' '; } cout << endl; } template <typename T, unsigned int M> inline void print_(const T (&t)[M], unsigned int c) { cout << endl; for (unsigned int i = 0; i < c; ++i) { cout << t[i] << ' '; } cout << endl; } template <typename T, unsigned int M, unsigned int N> inline void print_(const T (&t)[M][N]) { cout << endl; for (unsigned int i = 0; i < M; ++i) { for (unsigned int j = 0; j < N; ++j) { cout << t[i][j] << ' '; } cout << endl; } } template <typename T, unsigned int M, unsigned int N> inline void print_(const T (&t)[M][N], unsigned int r, unsigned int c) { cout << endl; for (unsigned int i = 0; i < r; ++i) { for (unsigned int j = 0; j < c; ++j) { cout << t[i][j] << ' '; } cout << endl; } } template <class T> size_t BKDRHash(const T *str) { register size_t hash = 0; while (size_t ch = (size_t)*str++) { hash = hash * 131 + ch; } return hash; } template <typename T> T powxy(T x, int y) { T r; for (r = 1; y > 0; --y) r *= x; return r; } template <typename T> T factorial(T n) { T r; for (r = 1; n > 0; --n) r *= n; return r; } int n; int matrix[512][512]; void construct(int exp) { if (!exp) { matrix[0][0] = 1; return; } else { int sz = 1 << exp; construct(exp - 1); for (int i = 0; i < sz / 2; ++i) { copy(matrix[i], matrix[i] + sz / 2, matrix[i] + sz / 2); copy(matrix[i], matrix[i] + sz / 2, matrix[i + sz / 2]); } for (int i = 0; i < sz / 2; ++i) { for (int j = sz / 2; j < sz; ++j) { matrix[i + sz / 2][j] = 1 ^ matrix[i][j]; } } } } void check() { int sz = 1 << n; for (int i = 0; i < sz; ++i) { for (int ii = i + 1; ii < sz; ++ii) { int t = 0; for (int j = 0; j < sz; ++j) { t += matrix[i][j] == matrix[ii][j] ? 1 : -1; } if (t) { int fault[] = {i, ii, t}; (fault); } } } } int main() { scanf("%d", &n); construct(n); (matrix, 1 << n, 1 << n); check(); for (int i = 0; i < 1 << n; ++i) { for (int j = 0; j < 1 << n; ++j) { putchar(matrix[i][j] ? '+' : '*'); } putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n; scanf("%d", &n); int i, N = pow(2, n); char **h = (char **)calloc(N, sizeof(char *)); for (i = 0; i < N; i++) { h[i] = (char *)calloc(N, sizeof(char)); } int ii, xx, yy; h[0][0] = '1'; for (ii = 2; ii <= N; ii *= 2) { for (xx = 0; xx < (ii / 2); ++xx) { for (yy = (ii / 2); yy < ii; ++yy) { h[xx][yy] = h[xx][yy - (ii / 2)]; } } for (yy = 0; yy < (ii / 2); ++yy) { for (xx = (ii / 2); xx < ii; ++xx) { h[xx][yy] = h[xx - (ii / 2)][yy]; } } for (xx = (ii / 2); xx < ii; ++xx) { for (yy = (ii / 2); yy < ii; ++yy) { h[xx][yy] = h[xx - (ii / 2)][yy - (ii / 2)]; if (h[xx][yy] == '1') { h[xx][yy] = '0'; } else { h[xx][yy] = '1'; } } } } for (xx = 0; xx < N; ++xx) { for (yy = 0; yy < N; ++yy) { printf("%c", h[xx][yy] == '1' ? '+' : '*'); } printf("\n"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX = 1050; int k; int a[MAX][MAX]; void mprint(int a[MAX][MAX], int M) { for (int i = 0; i < M; ++i) { for (int j = 0; j < M; ++j) { if (a[i][j]) cout << "+"; else cout << "*"; } cout << "\n"; } } void hadam_rec(int a[MAX][MAX], int m, int M) { if (m < M) { for (int i = 0; i < m; ++i) { for (int j = 0; j < m; ++j) { a[i + m][j] = a[i][j]; a[i][j + m] = a[i][j]; a[i + m][j + m] = !a[i][j]; } } hadam_rec(a, 2 * m, M); } } void solve() { cin >> k; int m = 1; int M = 1 << k; a[0][0] = 1; hadam_rec(a, m, M); mprint(a, M); } int main() { ios_base::sync_with_stdio(false); solve(); return 0; }