#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_set>
#include <vector>
using namespace std;
// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define derr if(1) cerr
typedef vector<int> vi;
// END NO SAD
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
struct edge {
int from, to, w, id;
edge(){}
edge(int a, int b, int c, int d) {
from=a;
to=b;
w=c;
id=d;
}
};
struct path {
int f, l;
ll w;
path(){clear();}
path(int a, int b, ll c) {
f = a;
l = b;
w = c;
}
void clear() {
f = -1;
w=1e18;
}
bool valid() {
return f >= 0;
}
bool operator==(const path& p) {
return f == p.f && l==p.l && w==p.w;
}
};
const ll INF = 1e14;
vector<int> edges[2000];
edge alledges[4000];
ll dp[4000][4000];
vector<path> bestpaths[2000][2000];
int n, m;
void calculatebestpaths(vector<path>& paths) {
vector<path> ret(4);
for(path out: paths) {
if(out.w < ret[0].w) ret[0] = out;
}
// ret[1] doesn't match either edge
for(path out: paths) {
if(out.f == ret[0].f) continue;
if(out.l == ret[0].l) continue;
if(out.w < ret[1].w) ret[1] = out;
}
// ret[2] doesn't match (a, b)
for(path out: paths) {
if(out.f == ret[0].f) continue;
if(out.l == ret[1].l) continue;
if(out.w < ret[2].w) ret[2] = out;
}
// ret[3] doesn't match (b, a)
for(path out: paths) {
if(out.l == ret[0].l) continue;
if(out.l == ret[2].f) continue;
if(out.w < ret[3].w) ret[3] = out;
}
for(int i = 0; i < sz(ret); i++) {
if(!ret[i].valid()) ret.erase(ret.begin() + i--);
}
paths.swap(ret);
}
void merge(vector<path>& ret, const vector<path>& a, const vector<path>& b) {
ret.clear();
for(path lhs: a) {
for(path rhs: b) {
if(alledges[lhs.l].to != alledges[rhs.f].from) continue;
if((lhs.l^rhs.f) == 1) continue;
ret.push_back(path(lhs.f, rhs.l, lhs.w + rhs.w));
}
}
calculatebestpaths(ret);
}
const int KOOSAGA_SZ = 1 << 17;
vector<path> koosagatree[2 * KOOSAGA_SZ];
int numloc;
void upd(int idx) {
idx += KOOSAGA_SZ;
// assumes already set
while(idx > 1) {
idx /= 2;
merge(koosagatree[idx], koosagatree[2*idx], koosagatree[2*idx+1]);
}
}
ll qry() {
int lhs = KOOSAGA_SZ;
int rhs = KOOSAGA_SZ + numloc - 2;
deque<vector<path>> lq, rq;
while(lhs <= rhs) {
if(lhs == rhs) {
lq.push_back(koosagatree[lhs]);
break;
}
if(lhs%2) lq.push_back(koosagatree[lhs++]);
if(rhs%2==0) rq.push_front(koosagatree[rhs--]);
lhs /= 2;
rhs /= 2;
}
while(sz(rq)) {
lq.push_back(rq.front());
rq.pop_front();
}
assert(sz(lq));
while(sz(lq) > 1) {
auto a = lq.front(); lq.pop_front();
auto b = lq.front(); lq.pop_front();
vector<path> c;
merge(c, a, b);
lq.push_front(c);
}
if(sz(lq[0]) == 0) return -1;
return lq[0].front().w;
}
void dijkstra(int srcid) {
dp[srcid][srcid] = alledges[srcid].w;
typedef pair<ll, int> pli;
priority_queue<pli> q;
q.push({-dp[srcid][srcid], srcid});
while(sz(q)) {
ll ww;
int edgeid;
tie(ww, edgeid) = q.top(); q.pop();
ww *= -1;
if(dp[srcid][edgeid] != ww) continue;
for(int outid: edges[alledges[edgeid].to]) {
if((edgeid^outid) == 1) continue;
if(dp[srcid][outid] > dp[srcid][edgeid] + alledges[outid].w) {
dp[srcid][outid] = dp[srcid][edgeid] + alledges[outid].w;
q.push({-dp[srcid][outid], outid});
}
}
}
}
int locs[100000];
void solve() {
memset(dp, 1, sizeof(dp));
int t;
cin >> n >> m >> t >> numloc;
for(int i = 0; i < m; i++) {
int a, b, w;
cin >> a >> b >> w;
a--; b--;
alledges[2*i] = edge(a, b, w, 2*i);
alledges[2*i+1] = edge(b, a, w, 2*i+1);
edges[a].push_back(2*i);
edges[b].push_back(2*i+1);
}
for(int i = 0; i < 2*m; i++) dijkstra(i);
for(int i = 0; i < 2*m; i++) {
int srcnode = alledges[i].from;
for(int j = 0; j < 2*m; j++) {
if(dp[i][j] > INF) continue;
int destnode = alledges[j].to;
bestpaths[srcnode][destnode].push_back(path(i, j, dp[i][j]));
}
}
for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) {
calculatebestpaths(bestpaths[i][j]);
}
for(int i = 0; i < numloc; i++) {
cin >> locs[i];
locs[i]--;
}
for(int i = 0; i + 1 < numloc; i++) {
koosagatree[KOOSAGA_SZ + i] = bestpaths[locs[i]][locs[i+1]];
}
for(int x = KOOSAGA_SZ-1; x > 0; x--) {
merge(koosagatree[x], koosagatree[2*x], koosagatree[2*x+1]);
}
while(t--) {
int idx, val;
cin >> idx >> val;
locs[--idx] = --val;
if(idx > 0) {
koosagatree[KOOSAGA_SZ + idx - 1] = bestpaths[locs[idx-1]][locs[idx]];
upd(idx-1);
}
if(idx + 1 < numloc) {
koosagatree[KOOSAGA_SZ + idx] = bestpaths[locs[idx]][locs[idx+1]];
upd(idx);
}
cout << qry() << "\n";
}
}
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
126 ms |
236024 KB |
Output is correct |
2 |
Correct |
126 ms |
236152 KB |
Output is correct |
3 |
Correct |
129 ms |
236028 KB |
Output is correct |
4 |
Correct |
122 ms |
236024 KB |
Output is correct |
5 |
Correct |
127 ms |
236024 KB |
Output is correct |
6 |
Correct |
135 ms |
236152 KB |
Output is correct |
7 |
Correct |
131 ms |
236024 KB |
Output is correct |
8 |
Correct |
125 ms |
236024 KB |
Output is correct |
9 |
Incorrect |
131 ms |
236152 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
126 ms |
236024 KB |
Output is correct |
2 |
Correct |
126 ms |
236152 KB |
Output is correct |
3 |
Correct |
129 ms |
236028 KB |
Output is correct |
4 |
Correct |
122 ms |
236024 KB |
Output is correct |
5 |
Correct |
127 ms |
236024 KB |
Output is correct |
6 |
Correct |
135 ms |
236152 KB |
Output is correct |
7 |
Correct |
131 ms |
236024 KB |
Output is correct |
8 |
Correct |
125 ms |
236024 KB |
Output is correct |
9 |
Incorrect |
131 ms |
236152 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
126 ms |
236024 KB |
Output is correct |
2 |
Correct |
126 ms |
236152 KB |
Output is correct |
3 |
Correct |
129 ms |
236028 KB |
Output is correct |
4 |
Correct |
122 ms |
236024 KB |
Output is correct |
5 |
Correct |
127 ms |
236024 KB |
Output is correct |
6 |
Correct |
135 ms |
236152 KB |
Output is correct |
7 |
Correct |
131 ms |
236024 KB |
Output is correct |
8 |
Correct |
125 ms |
236024 KB |
Output is correct |
9 |
Incorrect |
131 ms |
236152 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
126 ms |
236024 KB |
Output is correct |
2 |
Correct |
126 ms |
236152 KB |
Output is correct |
3 |
Correct |
129 ms |
236028 KB |
Output is correct |
4 |
Correct |
122 ms |
236024 KB |
Output is correct |
5 |
Correct |
127 ms |
236024 KB |
Output is correct |
6 |
Correct |
135 ms |
236152 KB |
Output is correct |
7 |
Correct |
131 ms |
236024 KB |
Output is correct |
8 |
Correct |
125 ms |
236024 KB |
Output is correct |
9 |
Incorrect |
131 ms |
236152 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |