제출 #1123905

#제출 시각아이디문제언어결과실행 시간메모리
1123905fernAesthetic (NOI20_aesthetic)C++20
100 / 100
569 ms101988 KiB
#include <bits/stdc++.h> #define f0(i, n) for(int i=0; i<n; i++) #define f1(i, n) for(int i=1; i<=n; i++) #define fi first #define se second #define pb push_back #define el cout << "\n"; #define sz(A) (int)A.size() #define FOR(i, l, r) for (int i = l; i <= r; i++) #define FOD(i, r, l) for (int i = r; i >= l; i--) #define all(x) x.begin(), x.end() #define faster \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define AWA signed main() using namespace std; typedef long long ll; typedef pair<ll, ll> ii; typedef unsigned long long ull; typedef string str; typedef vector<int> vi; const int maxn=1000002; const int mod=1000000007; const ll inf = 1e18; #define bit(mask, i) ((mask>>i)&1) #define lon(x) ((1ll) << (x)) template <class X, class Y> bool maximize(X &x, const Y&y) { if(x<y) { x=y; return true; } else return false; } template <class X, class Y> bool minimize(X &x, const Y&y) { if(x>y) { x=y; return true; } else return false; } void file() { #define TASK "INCGRAPH" if(fopen(TASK".INP", "r")) { freopen(TASK".INP", "r", stdin); freopen(TASK".OUT", "w", stdout); } } const int base = 1000000000; const int base_digits = 9; struct bigint { vector <int> a; int sign; bigint() : sign(1) { } bigint(long long v) { *this = v; } bigint(const string &s) { read(s); } void operator = (const bigint &v) { sign = v.sign; a = v.a; } void operator = (long long v) { sign = 1; if (v < 0) sign = -1, v = -v; for (; v > 0; v = v / base) a.push_back(v % base); } bigint operator + (const bigint &v) const { if (sign == v.sign) { bigint res = v; for (int i = 0, carry = 0; i < (int) max(a.size(), v.a.size()) || carry; ++i) { if (i == (int) res.a.size()) res.a.push_back(0); res.a[i] += carry + (i < (int) a.size() ? a[i] : 0); carry = res.a[i] >= base; if (carry) res.a[i] -= base; } return res; } return *this - (-v); } bigint operator - (const bigint &v) const { if (sign == v.sign) { if (abs() >= v.abs()) { bigint res = *this; for (int i = 0, carry = 0; i < (int) v.a.size() || carry; ++i) { res.a[i] -= carry + (i < (int) v.a.size() ? v.a[i] : 0); carry = res.a[i] < 0; if (carry) res.a[i] += base; } res.trim(); return res; } return -(v - *this); } return *this + (-v); } void operator *= (int v) { if (v < 0) sign = -sign, v = -v; for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) { if (i == (int) a.size()) a.push_back(0); long long cur = a[i] * (long long) v + carry; carry = (int) (cur / base); a[i] = (int) (cur % base); } trim(); } bigint operator * (int v) const { bigint res = *this; res *= v; return res; } friend pair<bigint, bigint> divmod(const bigint &a1, const bigint &b1) { int norm = base / (b1.a.back() + 1); bigint a = a1.abs() * norm; bigint b = b1.abs() * norm; bigint q, r; q.a.resize(a.a.size()); for (int i = a.a.size() - 1; i >= 0; i--) { r *= base; r += a.a[i]; int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()]; int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1]; int d = ((long long) base * s1 + s2) / b.a.back(); r -= b * d; while (r < 0) r += b, --d; q.a[i] = d; } q.sign = a1.sign * b1.sign; r.sign = a1.sign; q.trim(); r.trim(); return make_pair(q, r / norm); } bigint operator / (const bigint &v) const { return divmod(*this, v).first; } bigint operator % (const bigint &v) const { return divmod(*this, v).second; } void operator /= (int v) { if (v < 0) sign = -sign, v = -v; for (int i = (int) a.size() - 1, rem = 0; i >= 0; --i) { long long cur = a[i] + rem * (long long) base; a[i] = (int) (cur / v); rem = (int) (cur % v); } trim(); } bigint operator / (int v) const { bigint res = *this; res /= v; return res; } int operator % (int v) const { if (v < 0) v = -v; int m = 0; for (int i = a.size() - 1; i >= 0; --i) m = (a[i] + m * (long long) base) % v; return m * sign; } void operator += (const bigint &v) { *this = *this + v; } void operator -= (const bigint &v) { *this = *this - v; } void operator *= (const bigint &v) { *this = *this * v; } void operator /= (const bigint &v) { *this = *this / v; } bool operator < (const bigint& v) const { if (sign != v.sign) return sign < v.sign; if (a.size() != v.a.size()) return a.size() * sign < v.a.size() * v.sign; for (int i = a.size() - 1; i >= 0; i--) if (a[i] != v.a[i]) return a[i] * sign < v.a[i] * sign; return false; } bool operator > (const bigint &v) const { return v < *this; } bool operator <= (const bigint &v) const { return !(v < *this); } bool operator >= (const bigint &v) const { return !(*this < v); } bool operator == (const bigint &v) const { return !(*this < v) && !(v < *this); } bool operator != (const bigint &v) const { return *this < v || v < *this; } void trim() { while (!a.empty() && !a.back()) a.pop_back(); if (a.empty()) sign = 1; } bool isZero() const { return a.empty() || (a.size() == 1 && !a[0]); } bigint operator - () const { bigint res = *this; res.sign = -sign; return res; } bigint abs() const { bigint res = *this; res.sign *= res.sign; return res; } long long longValue() const { long long res = 0; for (int i = a.size() - 1; i >= 0; i--) res = res * base + a[i]; return res * sign; } friend bigint gcd(const bigint &a, const bigint &b) { return b.isZero() ? a : gcd(b, a % b); } friend bigint lcm(const bigint &a, const bigint &b) { return a / gcd(a, b) * b; } void read(const string &s) { sign = 1; a.clear(); int pos = 0; while (pos < (int) s.size() && (s[pos] == '-' || s[pos] == '+')) { if (s[pos] == '-') sign = -sign; ++pos; } for (int i = s.size() - 1; i >= pos; i -= base_digits) { int x = 0; for (int j = max(pos, i - base_digits + 1); j <= i; j++) x = x * 10 + s[j] - '0'; a.push_back(x); } trim(); } friend istream& operator >> (istream &stream, bigint &v) { string s; stream >> s; v.read(s); return stream; } friend ostream& operator << (ostream &stream, const bigint &v) { if (v.sign == -1) stream << '-'; stream << (v.a.empty() ? 0 : v.a.back()); for (int i = (int) v.a.size() - 2; i >= 0; --i) stream << setw(base_digits) << setfill('0') << v.a[i]; return stream; } static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) { vector<long long> p(max(old_digits, new_digits) + 1); p[0] = 1; for (int i = 1; i < (int) p.size(); i++) p[i] = p[i - 1] * 10; vector<int> res; long long cur = 0; int cur_digits = 0; for (int i = 0; i < (int) a.size(); i++) { cur += a[i] * p[cur_digits]; cur_digits += old_digits; while (cur_digits >= new_digits) { res.push_back(int(cur % p[new_digits])); cur /= p[new_digits]; cur_digits -= new_digits; } } res.push_back((int) cur); while (!res.empty() && !res.back()) res.pop_back(); return res; } static vector <long long> karatsubaMultiply(const vector <long long> &a, const vector <long long> &b) { int n = a.size(); vector <long long> res(n + n); if (n <= 32) { for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) res[i + j] += a[i] * b[j]; return res; } int k = n >> 1; vector <long long> a1(a.begin(), a.begin() + k); vector <long long> b1(b.begin(), b.begin() + k); vector <long long> a2(a.begin() + k, a.end()); vector <long long> b2(b.begin() + k, b.end()); vector <long long> a1b1 = karatsubaMultiply(a1, b1); vector <long long> a2b2 = karatsubaMultiply(a2, b2); for (int i = 0; i < k; i++) a2[i] += a1[i]; for (int i = 0; i < k; i++) b2[i] += b1[i]; vector <long long> r = karatsubaMultiply(a2, b2); for (int i = 0; i < (int) a1b1.size(); i++) r[i] -= a1b1[i]; for (int i = 0; i < (int) a2b2.size(); i++) r[i] -= a2b2[i]; for (int i = 0; i < (int) r.size(); i++) res[i + k] += r[i]; for (int i = 0; i < (int) a1b1.size(); i++) res[i] += a1b1[i]; for (int i = 0; i < (int) a2b2.size(); i++) res[i + n] += a2b2[i]; return res; } bigint operator * (const bigint &v) const { vector <int> a6 = convert_base(this->a, base_digits, 6); vector <int> b6 = convert_base(v.a, base_digits, 6); vector <long long> a(a6.begin(), a6.end()); vector <long long> b(b6.begin(), b6.end()); while (a.size() < b.size()) a.push_back(0); while (b.size() < a.size()) b.push_back(0); while (a.size() & (a.size() - 1)) a.push_back(0), b.push_back(0); vector <long long> c = karatsubaMultiply(a, b); bigint res; res.sign = sign * v.sign; for (int i = 0, carry = 0; i < (int) c.size(); i++) { long long cur = c[i] + carry; res.a.push_back((int) (cur % 1000000)); carry = (int) (cur / 1000000); } res.a = convert_base(res.a, 6, base_digits); res.trim(); return res; } friend bigint sqrt(const bigint& a) { bigint x0 = a, x1 = (a + 1) / 2; while (x1 < x0) { x0 = x1; x1 = (x1 + a / x1) / 2; } return x0; } friend bigint pow(bigint a, bigint b) { if (b == bigint(0)) return bigint(1); bigint T = pow(a, b / 2); if (b % 2 == 0) return T * T; return T * T * a; } friend bigint pow(bigint a, int b) { return pow(a, (bigint(b))); } friend int log(bigint a, int n) { int res = 0; while (a > bigint(1)) { res++; a /= n; } return res; } template <class X> friend bigint operator + (const X& v, const bigint& a) { return a + v; } template <class X> friend bigint operator - (const X& v, const bigint& a) { return -a + v; } template <class X> friend bigint operator * (const X& v, const bigint& a) { return a * v; } template <class X> friend bigint operator / (const X& v, const bigint& a) { return bigint(v) / a; } bigint operator ++() { (*this) += 1; return *this; } bigint operator --() { (*this) -= 1; return *this; } bigint operator ++(int) { (*this) += 1; return *this - 1; } bigint operator --(int) { (*this) -= 1; return *this + 1; } }; int n, m; ll eu[maxn], ev[maxn], ew[maxn], Max[maxn]; vector<ii>adj[maxn]; struct Data{ ll dis[maxn]; void dijkstra(int s){ FOR(i, 1, n) dis[i] = inf; dis[s] = 0; priority_queue<ii, vector<ii>, greater<ii>> pq; pq.push(make_pair(dis[s], s)); while(sz(pq)){ ii top = pq.top(); pq.pop(); int dd = top.fi, u = top.se; for(ii it: adj[u]){ int v = it.fi, w = it.se; if(dis[v] > dis[u] + w){ dis[v] = dis[u] + w; pq.push(make_pair(dis[v], v)); } } } } }d1, dn; struct LINE { long long a, b; LINE(long long a, long long b) { this->a = a; this->b = b; } bool operator <(const LINE& otherLine) { return a > otherLine.a; } }; struct CHT { deque <LINE> line; bool bad(LINE l1, LINE l2, LINE l3) { return (long double) (l3.b - l1.b) / (l1.a - l3.a) <= (long double) (l2.b - l1.b) / (l1.a - l2.a); } long long eval(long long x, LINE line) { return line.a * x + line.b; } void addLine(LINE new_line) { int n = (int) line.size(); while (n >= 2 && bad(line[n - 2], line[n - 1], new_line)) { line.pop_back(); n--; } line.push_back(new_line); } long long getValue(long long x) { int n = line.size(); while (n >= 2 && eval(x, line[0]) >= eval(x, line[1])) { n--; line.pop_front(); } return eval(x, line[0]); } } cht; int low[maxn], num[maxn], timer = 0; bool contain[maxn]; vector<ii> g[maxn]; bool ok = 0; void dfs(int s, int pre, ll mid){ if(s == n) contain[s] = 1; low[s] = num[s] = ++timer; for(ii it: g[s]){ int v = it.fi, id = it.se; if(id == pre) continue; if(!num[v]){ dfs(v, id, mid); contain[s] |= contain[v]; low[s] = min(low[s], low[v]); if(low[v] == num[v] && contain[v]){ if(d1.dis[eu[id]] + dn.dis[ev[id]] + ew[id] == d1.dis[n] && d1.dis[eu[id]] + dn.dis[ev[id]] + ew[id] + Max[id] >= d1.dis[n] + mid){ ok = 1; } } } else low[s] = min(low[s], num[v]); } } bool check(ll mid){ FOR(i, 1, n){ g[i].clear(); low[i] = num[i] = 0; contain[i] = 0; } timer = 0; ok = 0; f0(i, m){ ll u = eu[i], v = ev[i], w = ew[i]; if(d1.dis[u] + dn.dis[v] + ew[i] < d1.dis[n] + mid) g[u].pb(make_pair(v, i)), g[v].pb(make_pair(u, i)); else if(d1.dis[v] + dn.dis[u] + ew[i] < d1.dis[n] + mid) g[u].pb(make_pair(v, i)), g[v].pb(make_pair(u, i)); } dfs(1, -1, mid); return(ok); } AWA { faster; file(); cin>>n>>m; f0(i, m){ cin >> eu[i] >> ev[i] >> ew[i]; adj[eu[i]].pb(make_pair(ev[i], ew[i])); adj[ev[i]].pb(make_pair(eu[i], ew[i])); } for(int i = m - 2; i >= 0; i--){ Max[i] = max(Max[i + 1], ew[i + 1]); } d1.dijkstra(1); dn.dijkstra(n); f0(i, m){ if(d1.dis[eu[i]] > d1.dis[ev[i]]) swap(eu[i], ev[i]); } ll l = 1, r = *max_element(ew + 1, ew + m + 1), ans = 0; while(l <= r){ ll mid = (l + r) >> 1; if(check(mid)) { ans = mid; l = mid + 1; } else r = mid - 1; } cout << d1.dis[n] + ans; return 0; }

컴파일 시 표준 에러 (stderr) 메시지

Aesthetic.cpp: In function 'void file()':
Aesthetic.cpp:54:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   54 |         freopen(TASK".INP", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Aesthetic.cpp:55:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   55 |         freopen(TASK".OUT", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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