| # | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 865228 | 2023-10-24T06:40:25 Z | efedmrlr | Harbingers (CEOI09_harbingers) | C++17 | 1000 ms | 28236 KB |
//https://cses.fi/problemset/task/2087/
#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define MP make_pair
#define pb push_back
#define REP(i,n) for(int (i) = 0; (i) < (n); (i)++)
#define n_l '\n'
#define dbg(...) cout << "[" << #__VA_ARGS__ << "]: "; cout << to_string(__VA_ARGS__) << endl
template <typename T, size_t N> int SIZE(const T (&t)[N]){ return N; } template<typename T> int SIZE(const T &t){ return t.size(); } string to_string(const string s, int x1=0, int x2=1e9){ return '"' + ((x1 < s.size()) ? s.substr(x1, x2-x1+1) : "") + '"'; } string to_string(const char* s) { return to_string((string) s); } string to_string(const bool b) { return (b ? "true" : "false"); } string to_string(const char c){ return string({c}); } template<size_t N> string to_string(const bitset<N> &b, int x1=0, int x2=1e9){ string t = ""; for(int __iii__ = min(x1,SIZE(b)), __jjj__ = min(x2, SIZE(b)-1); __iii__ <= __jjj__; ++__iii__){ t += b[__iii__] + '0'; } return '"' + t + '"'; } template <typename A, typename... C> string to_string(const A (&v), int x1=0, int x2=1e9, C... coords); int l_v_l_v_l = 0, t_a_b_s = 0; template <typename A, typename B> string to_string(const pair<A, B> &p) { l_v_l_v_l++; string res = "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; l_v_l_v_l--; return res; } template <typename A, typename... C> string to_string(const A (&v), int x1, int x2, C... coords) { int rnk = rank<A>::value; string tab(t_a_b_s, ' '); string res = ""; bool first = true; if(l_v_l_v_l == 0) res += n_l; res += tab + "["; x1 = min(x1, SIZE(v)), x2 = min(x2, SIZE(v)); auto l = begin(v); advance(l, x1); auto r = l; advance(r, (x2-x1) + (x2 < SIZE(v))); for (auto e = l; e != r; e = next(e)) { if (!first) { res += ", "; } first = false; l_v_l_v_l++; if(e != l){ if(rnk > 1) { res += n_l; t_a_b_s = l_v_l_v_l; }; } else{ t_a_b_s = 0; } res += to_string(*e, coords...); l_v_l_v_l--; } res += "]"; if(l_v_l_v_l == 0) res += n_l; return res; } void dbgm(){;} template<typename Heads, typename... Tails> void dbgm(Heads H, Tails... T){ cout << to_string(H) << " | "; dbgm(T...); }
#define dbgm(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgm(__VA_ARGS__); cout << endl
void fastio() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
}
const long double EPS = 0.000001;
const int INF = 1e17+500;
const int N = 1e5+5;
const int ALPH = 26;
const int LGN = 25;
const int MOD = 1e9+7;
int n,k;
vector<vector<array<int,2> > > adj;
vector<int> s,v;
vector<int> dp;
vector<int> p, pat;
vector<int> ints;
struct Line {
int a,b;
Line() {
a = 0; b = 0;
}
Line(int a, int b) {
this->a = a;
this->b = b;
}
int eval(int x) {
return a*x + b;
}
long double intersect(Line y) {
return (long double)(b - y.b) / (long double)(y.a - a);
}
void print_line() {
cout<<a<<"x + "<<b<<"\n";
}
};
deque<Line> cht;
vector<vector<pair<Line, int> > > upds;
bool comp(int idx, int x) {
return cht[idx].intersect(cht[idx + 1]) >= x;
}
void update(Line nw) {
upds.pb(vector<pair<Line, int> >());
while(cht.size() > 1 && cht.front().intersect(cht[1]) >= cht.front().intersect(nw)) {
upds[upds.size() - 1].pb(MP(cht.front(), 0));
cht.pop_front();
}
upds[upds.size() - 1].pb(MP(nw, 1));
cht.push_front(nw);
}
void restore_last() {
while(upds.back().size() > 0) {
auto cur = upds.back().back();
if(cur.second) {
cht.pop_front();
}
else {
cht.push_front(cur.first);
}
upds.back().pop_back();
}
upds.pop_back();
}
int query(int x) {
int idx = *lower_bound(ints.begin(), ints.begin() + cht.size() - 1, x, comp);
return cht[idx].eval(x);
/*
int ret = INF;
cout<<"x:"<<x<<"\n";
REP(i,cht.size()) {
cht[i].print_line();
}
for(auto c : cht) {
ret = min(c.eval(x), ret);
}
return ret;
*/
}
void dfs(int node) {
for(auto c : adj[node]) {
if(c[0] == pat[node]) continue;
pat[c[0]] = node;
p[c[0]] = p[node] + c[1];
dfs(c[0]);
}
}
void dfs2(int node) {
update(Line(-p[node], dp[node]));
for(auto c : adj[node]) {
if(c[0] == pat[node]) continue;
dp[c[0]] = query(v[c[0]]) + v[c[0]] * p[c[0]] + s[c[0]];
dfs2(c[0]);
}
restore_last();
}
inline void solve() {
cin >> n;
cht.clear(); upds.clear();
adj.resize(n+1, vector<array<int,2> >());
ints.resize(n);
iota(ints.begin(), ints.end(), 0);
for(int i = 0; i<n-1; i++) {
int u,v,d;
cin>>u>>v>>d;
adj[u].pb({v,d});
adj[v].pb({u,d});
}
s.resize(n+1);
v.resize(n+1);
for(int i = 2; i<=n; i++) {
cin>>s[i]>>v[i];
}
dp.resize(n+1);
dp[1] = 0;
pat.resize(n+1); p.resize(n+1);
pat[1] = 0;
p[1] = 0;
dfs(1);
dfs2(1);
for(int i = 2; i<=n; i++) {
cout<<dp[i]<<" ";
}
cout<<"\n";
}
signed main() {
fastio();
int test = 1;
//cin>>test;
while(test--) {
solve();
}
}
Compilation message
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 0 ms | 348 KB | Output is correct |
| 2 | Correct | 3 ms | 1116 KB | Output is correct |
| 3 | Correct | 35 ms | 11648 KB | Output is correct |
| 4 | Correct | 52 ms | 17124 KB | Output is correct |
| 5 | Correct | 74 ms | 22784 KB | Output is correct |
| 6 | Correct | 109 ms | 28236 KB | Output is correct |
| 7 | Correct | 46 ms | 13324 KB | Output is correct |
| 8 | Execution timed out | 1051 ms | 20584 KB | Time limit exceeded |
| 9 | Execution timed out | 1099 ms | 17904 KB | Time limit exceeded |
| 10 | Execution timed out | 1053 ms | 21924 KB | Time limit exceeded |