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*/
/*
* powered by ANDRIY POPYK
* in honor of MYSELF and SEGMENT DECOMPOSITION and N^(log(N)) and (Harry Potter and the Methods of Rationality) and Monkie D. Luffy
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define float long double
#define elif else if
#define endl "\n"
#define mod 1000000007
#define pi acos(-1)
#define eps 0.000000001
#define inf 1000'000'000'000'000'000LL
#define FIXED(a) cout << fixed << setprecision(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define time_init auto start = std::chrono::high_resolution_clock::now()
#define time_report \
auto end = std::chrono::high_resolution_clock::now(); \
std::cout << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << endl
#define debug(x) \
{ cerr << #x << " = " << x << endl; }
#define len(x) (int) x.size()
#define sqr(x) ((x) * (x))
#define cube(x) ((x) * (x) * (x))
#define bit(x, i) (((x) >> (i)) & 1)
#define set_bit(x, i) ((x) | (1LL << (i)))
#define clear_bit(x, i) ((x) & (~(1LL << (i))))
#define toggle_bit(x, i) ((x) ^ (1LL << (i)))
#define low_bit(x) ((x) & (-(x)))
#define count_bit(x) __builtin_popcountll(x)
#define srt(x) sort(all(x))
#define rsrt(x) sort(rall(x))
#define mp make_pair
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxelpos(x) (max_element(all(x)) - x.begin())
#define minelpos(x) (min_element(all(x)) - x.begin())
#define sum(x) (accumulate(all(x), 0LL))
#define product(x) (accumulate(all(x), 1LL, multiplies<int>()))
#define gcd __gcd
#define lcm(a, b) ((a) / gcd(a, b) * (b))
#define rev(x) (reverse(all(x)))
#define shift_left(x, k) (rotate(x.begin(), x.begin() + k, x.end()))
#define shift_right(x, k) (rotate(x.rbegin(), x.rbegin() + k, x.rend()))
#define is_sorted(x) (is_sorted_until(all(x)) == x.end())
#define is_even(x) (((x) &1) == 0)
#define is_odd(x) (((x) &1) == 1)
#define pow2(x) (1LL << (x))
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using matrix = vector<vector<T>>;
template<typename T>
using graph = vector<vector<T>>;
using hashmap = gp_hash_table<int, int, custom_hash>;
template<typename T>
vector<T> vect(int n, T val) {
return vector<T>(n, val);
}
template<typename T>
vector<vector<T>> vect(int n, int m, T val) {
return vector<vector<T>>(n, vector<T>(m, val));
}
template<typename T>
vector<vector<vector<T>>> vect(int n, int m, int k, T val) {
return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, val)));
}
template<typename T>
vector<vector<vector<vector<T>>>> vect(int n, int m, int k, int l, T val) {
return vector<vector<vector<vector<T>>>>(n, vector<vector<vector<T>>>(m, vector<vector<T>>(k, vector<T>(l, val))));
}
template<typename T>
matrix<T> new_matrix(int n, int m, T val) {
return matrix<T>(n, vector<T>(m, val));
}
template<typename T>
graph<T> new_graph(int n) {
return graph<T>(n);
}
template<class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template<class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
using i8 = int8_t;
using i16 = int16_t;
using i32 = int32_t;
using i64 = int64_t;
using i128 = __int128_t;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using u128 = __uint128_t;
template<typename T>
using vec = vector<T>;
using pII = pair<int, int>;
template<typename T>
using enumerated = pair<T, int>;
struct DSU {
public:
DSU() : _n(0) {}
explicit DSU(int n) : _n(n), parent_or_size(n, -1) {}
int unite(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y) return x;
if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool one(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0) return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, m;
cin >> n >> m;
struct edge {
int to, w;
};
graph<edge> g(n);
for (int i = 0; i < m; i++) {
int a, b, w;
cin >> a >> b >> w;
a--, b--;
g[a].push_back({b, w});
g[b].push_back({a, w});
}
int k;
cin >> k;
vec<int> bad_cities(k);
for (int i = 0; i < k; i++) {
cin >> bad_cities[i];
bad_cities[i]--;
}
vec<int> danger(n, inf);
min_heap<pair<int, int>> pq;
for (auto b: bad_cities) {
pq.emplace(0, b);
danger[b] = 0;
}
while (!pq.empty()) {
auto [d, v] = pq.top();
pq.pop();
if (d > danger[v]) continue;
for (auto [to, w]: g[v]) {
if (chmin(danger[to], danger[v] + w)) {
pq.emplace(danger[to], to);
}
}
}
vec<pair<int, int>> danger_sorted;
for (int i = 0; i < n; i++) {
danger_sorted.emplace_back(danger[i], i);
}
rsrt(danger_sorted);
int q;
cin >> q;
struct queries {
int a, b;
int id;
};
vec<queries> query(q);
int idx = 0;
int tq = q;
while (q--) {
int a, b;
cin >> a >> b;
a--, b--;
query[idx] = {a, b, idx++};
}
struct search {
int l, r;
};
q = tq;
vec<search> s(q, {0, inf});
int cnt = q;
while (cnt) {
DSU dsu(n);
vec<pair<int, int>> mids;
for (int i = 0; i < q; i++) {
if (s[i].l < s[i].r) {
mids.emplace_back((s[i].l + s[i].r + 1) / 2, i);
}
}
rsrt(mids);
int pm = 0;
int pv = 0;
while (pm != len(mids)) {
while (pv < n and danger_sorted[pv].first >= mids[pm].first) {
int v = danger_sorted[pv].second;
for (auto [to, w]: g[v]) {
if (danger[to] >= mids[pm].first) {
dsu.unite(v, to);
}
}
pv++;
}
if (dsu.one(query[mids[pm].second].a, query[mids[pm].second].b)) {
s[mids[pm].second].l = mids[pm].first;
} else {
s[mids[pm].second].r = mids[pm].first - 1;
}
if (s[mids[pm].second].l == s[mids[pm].second].r) {
cnt--;
}
pm++;
}
}
for (int i = 0; i < len(s); i++) {
cout << s[i].l << endl;
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
2 ms |
604 KB |
Output is correct |
| 3 |
Correct |
3 ms |
668 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
2 ms |
604 KB |
Output is correct |
| 6 |
Correct |
2 ms |
604 KB |
Output is correct |
| 7 |
Correct |
0 ms |
460 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
3 ms |
600 KB |
Output is correct |
| 10 |
Correct |
2 ms |
632 KB |
Output is correct |
| 11 |
Correct |
3 ms |
604 KB |
Output is correct |
| 12 |
Correct |
2 ms |
604 KB |
Output is correct |
| 13 |
Correct |
3 ms |
604 KB |
Output is correct |
| 14 |
Correct |
3 ms |
604 KB |
Output is correct |
| 15 |
Correct |
3 ms |
604 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
2 ms |
604 KB |
Output is correct |
| 3 |
Correct |
3 ms |
668 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
2 ms |
604 KB |
Output is correct |
| 6 |
Correct |
2 ms |
604 KB |
Output is correct |
| 7 |
Correct |
0 ms |
460 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
3 ms |
600 KB |
Output is correct |
| 10 |
Correct |
2 ms |
632 KB |
Output is correct |
| 11 |
Correct |
3 ms |
604 KB |
Output is correct |
| 12 |
Correct |
2 ms |
604 KB |
Output is correct |
| 13 |
Correct |
3 ms |
604 KB |
Output is correct |
| 14 |
Correct |
3 ms |
604 KB |
Output is correct |
| 15 |
Correct |
3 ms |
604 KB |
Output is correct |
| 16 |
Correct |
476 ms |
20896 KB |
Output is correct |
| 17 |
Correct |
860 ms |
50984 KB |
Output is correct |
| 18 |
Correct |
50 ms |
5240 KB |
Output is correct |
| 19 |
Correct |
296 ms |
22704 KB |
Output is correct |
| 20 |
Correct |
849 ms |
50948 KB |
Output is correct |
| 21 |
Correct |
385 ms |
31188 KB |
Output is correct |
| 22 |
Correct |
617 ms |
21368 KB |
Output is correct |
| 23 |
Correct |
806 ms |
50896 KB |
Output is correct |
| 24 |
Correct |
834 ms |
50952 KB |
Output is correct |
| 25 |
Correct |
797 ms |
51164 KB |
Output is correct |
| 26 |
Correct |
311 ms |
22716 KB |
Output is correct |
| 27 |
Correct |
285 ms |
22944 KB |
Output is correct |
| 28 |
Correct |
296 ms |
22724 KB |
Output is correct |
| 29 |
Correct |
324 ms |
22892 KB |
Output is correct |
| 30 |
Correct |
307 ms |
22680 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
348 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
189 ms |
20808 KB |
Output is correct |
| 2 |
Correct |
457 ms |
42692 KB |
Output is correct |
| 3 |
Correct |
455 ms |
42676 KB |
Output is correct |
| 4 |
Correct |
95 ms |
12408 KB |
Output is correct |
| 5 |
Correct |
517 ms |
42808 KB |
Output is correct |
| 6 |
Correct |
420 ms |
42680 KB |
Output is correct |
| 7 |
Correct |
380 ms |
42692 KB |
Output is correct |
| 8 |
Correct |
390 ms |
42780 KB |
Output is correct |
| 9 |
Correct |
303 ms |
42696 KB |
Output is correct |
| 10 |
Correct |
547 ms |
42716 KB |
Output is correct |
| 11 |
Correct |
560 ms |
42624 KB |
Output is correct |
| 12 |
Correct |
405 ms |
42696 KB |
Output is correct |
| 13 |
Correct |
530 ms |
42872 KB |
Output is correct |
| 14 |
Correct |
364 ms |
42856 KB |
Output is correct |
| 15 |
Correct |
503 ms |
43836 KB |
Output is correct |
| 16 |
Correct |
477 ms |
42700 KB |
Output is correct |
| 17 |
Correct |
337 ms |
42624 KB |
Output is correct |
| 18 |
Correct |
395 ms |
42700 KB |
Output is correct |
| 19 |
Correct |
38 ms |
12460 KB |
Output is correct |
| 20 |
Correct |
474 ms |
42696 KB |
Output is correct |
| 21 |
Correct |
265 ms |
43208 KB |
Output is correct |
| 22 |
Correct |
59 ms |
14404 KB |
Output is correct |
| 23 |
Correct |
141 ms |
12492 KB |
Output is correct |
| 24 |
Correct |
65 ms |
14396 KB |
Output is correct |
| 25 |
Correct |
79 ms |
14436 KB |
Output is correct |
| 26 |
Correct |
129 ms |
12616 KB |
Output is correct |
| 27 |
Correct |
87 ms |
12096 KB |
Output is correct |
| 28 |
Correct |
74 ms |
14456 KB |
Output is correct |
| 29 |
Correct |
93 ms |
12236 KB |
Output is correct |
| 30 |
Correct |
61 ms |
14400 KB |
Output is correct |
| 31 |
Correct |
90 ms |
12224 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
2 ms |
604 KB |
Output is correct |
| 3 |
Correct |
3 ms |
668 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
2 ms |
604 KB |
Output is correct |
| 6 |
Correct |
2 ms |
604 KB |
Output is correct |
| 7 |
Correct |
0 ms |
460 KB |
Output is correct |
| 8 |
Correct |
1 ms |
344 KB |
Output is correct |
| 9 |
Correct |
3 ms |
600 KB |
Output is correct |
| 10 |
Correct |
2 ms |
632 KB |
Output is correct |
| 11 |
Correct |
3 ms |
604 KB |
Output is correct |
| 12 |
Correct |
2 ms |
604 KB |
Output is correct |
| 13 |
Correct |
3 ms |
604 KB |
Output is correct |
| 14 |
Correct |
3 ms |
604 KB |
Output is correct |
| 15 |
Correct |
3 ms |
604 KB |
Output is correct |
| 16 |
Correct |
476 ms |
20896 KB |
Output is correct |
| 17 |
Correct |
860 ms |
50984 KB |
Output is correct |
| 18 |
Correct |
50 ms |
5240 KB |
Output is correct |
| 19 |
Correct |
296 ms |
22704 KB |
Output is correct |
| 20 |
Correct |
849 ms |
50948 KB |
Output is correct |
| 21 |
Correct |
385 ms |
31188 KB |
Output is correct |
| 22 |
Correct |
617 ms |
21368 KB |
Output is correct |
| 23 |
Correct |
806 ms |
50896 KB |
Output is correct |
| 24 |
Correct |
834 ms |
50952 KB |
Output is correct |
| 25 |
Correct |
797 ms |
51164 KB |
Output is correct |
| 26 |
Correct |
311 ms |
22716 KB |
Output is correct |
| 27 |
Correct |
285 ms |
22944 KB |
Output is correct |
| 28 |
Correct |
296 ms |
22724 KB |
Output is correct |
| 29 |
Correct |
324 ms |
22892 KB |
Output is correct |
| 30 |
Correct |
307 ms |
22680 KB |
Output is correct |
| 31 |
Correct |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
1 ms |
348 KB |
Output is correct |
| 34 |
Correct |
0 ms |
348 KB |
Output is correct |
| 35 |
Correct |
1 ms |
348 KB |
Output is correct |
| 36 |
Correct |
0 ms |
348 KB |
Output is correct |
| 37 |
Correct |
1 ms |
348 KB |
Output is correct |
| 38 |
Correct |
1 ms |
348 KB |
Output is correct |
| 39 |
Correct |
1 ms |
348 KB |
Output is correct |
| 40 |
Correct |
1 ms |
348 KB |
Output is correct |
| 41 |
Correct |
189 ms |
20808 KB |
Output is correct |
| 42 |
Correct |
457 ms |
42692 KB |
Output is correct |
| 43 |
Correct |
455 ms |
42676 KB |
Output is correct |
| 44 |
Correct |
95 ms |
12408 KB |
Output is correct |
| 45 |
Correct |
517 ms |
42808 KB |
Output is correct |
| 46 |
Correct |
420 ms |
42680 KB |
Output is correct |
| 47 |
Correct |
380 ms |
42692 KB |
Output is correct |
| 48 |
Correct |
390 ms |
42780 KB |
Output is correct |
| 49 |
Correct |
303 ms |
42696 KB |
Output is correct |
| 50 |
Correct |
547 ms |
42716 KB |
Output is correct |
| 51 |
Correct |
560 ms |
42624 KB |
Output is correct |
| 52 |
Correct |
405 ms |
42696 KB |
Output is correct |
| 53 |
Correct |
530 ms |
42872 KB |
Output is correct |
| 54 |
Correct |
364 ms |
42856 KB |
Output is correct |
| 55 |
Correct |
503 ms |
43836 KB |
Output is correct |
| 56 |
Correct |
477 ms |
42700 KB |
Output is correct |
| 57 |
Correct |
337 ms |
42624 KB |
Output is correct |
| 58 |
Correct |
395 ms |
42700 KB |
Output is correct |
| 59 |
Correct |
38 ms |
12460 KB |
Output is correct |
| 60 |
Correct |
474 ms |
42696 KB |
Output is correct |
| 61 |
Correct |
265 ms |
43208 KB |
Output is correct |
| 62 |
Correct |
59 ms |
14404 KB |
Output is correct |
| 63 |
Correct |
141 ms |
12492 KB |
Output is correct |
| 64 |
Correct |
65 ms |
14396 KB |
Output is correct |
| 65 |
Correct |
79 ms |
14436 KB |
Output is correct |
| 66 |
Correct |
129 ms |
12616 KB |
Output is correct |
| 67 |
Correct |
87 ms |
12096 KB |
Output is correct |
| 68 |
Correct |
74 ms |
14456 KB |
Output is correct |
| 69 |
Correct |
93 ms |
12236 KB |
Output is correct |
| 70 |
Correct |
61 ms |
14400 KB |
Output is correct |
| 71 |
Correct |
90 ms |
12224 KB |
Output is correct |
| 72 |
Correct |
612 ms |
29996 KB |
Output is correct |
| 73 |
Correct |
884 ms |
51032 KB |
Output is correct |
| 74 |
Correct |
865 ms |
50940 KB |
Output is correct |
| 75 |
Correct |
876 ms |
51324 KB |
Output is correct |
| 76 |
Correct |
856 ms |
51064 KB |
Output is correct |
| 77 |
Correct |
933 ms |
51428 KB |
Output is correct |
| 78 |
Correct |
860 ms |
51116 KB |
Output is correct |
| 79 |
Correct |
876 ms |
50936 KB |
Output is correct |
| 80 |
Correct |
853 ms |
51168 KB |
Output is correct |
| 81 |
Correct |
859 ms |
51144 KB |
Output is correct |
| 82 |
Correct |
801 ms |
51012 KB |
Output is correct |
| 83 |
Correct |
815 ms |
51264 KB |
Output is correct |
| 84 |
Correct |
808 ms |
51044 KB |
Output is correct |
| 85 |
Correct |
789 ms |
53808 KB |
Output is correct |
| 86 |
Correct |
834 ms |
51120 KB |
Output is correct |
| 87 |
Correct |
843 ms |
51212 KB |
Output is correct |
| 88 |
Correct |
870 ms |
51216 KB |
Output is correct |
| 89 |
Correct |
574 ms |
21596 KB |
Output is correct |
| 90 |
Correct |
871 ms |
51044 KB |
Output is correct |
| 91 |
Correct |
465 ms |
52204 KB |
Output is correct |
| 92 |
Correct |
297 ms |
22684 KB |
Output is correct |
| 93 |
Correct |
639 ms |
21884 KB |
Output is correct |
| 94 |
Correct |
288 ms |
22788 KB |
Output is correct |
| 95 |
Correct |
311 ms |
22712 KB |
Output is correct |
| 96 |
Correct |
480 ms |
21628 KB |
Output is correct |
| 97 |
Correct |
546 ms |
21136 KB |
Output is correct |
| 98 |
Correct |
298 ms |
22720 KB |
Output is correct |
| 99 |
Correct |
570 ms |
21112 KB |
Output is correct |
| 100 |
Correct |
328 ms |
22708 KB |
Output is correct |
