이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include <ext/pb_ds/tree_policy.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define FOR(i,start,end) for(int i=start;i<(int)(end);i++)
#define FORE(i,start,end) for(int i=start;i<=(int)end;i++)
#define RFOR(i,start,end) for(int i = start; i>end; i--)
#define RFORE(i,start,end) for(int i = start; i>=end; i--)
#define all(a) a.begin(), a.end()
#define mt make_tuple
#define mp make_pair
#define v vector
#define sf scanf
#define pf printf
#define dvar(x) cout << #x << " := " << x << "\n"
#define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n"
typedef long long ll;
typedef long double ld;
typedef pair<int, int > pii;
typedef pair<ll, ll> pll;
//template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T> void minn(T &a, T b) { a = min(a, b); }
template<class T> void maxx(T &a, T b) { a = max(a, b); }
void io() {
#ifdef LOCAL_PROJECT 
	freopen("input.in", "r", stdin); freopen("output.out", "w", stdout);
#else 
	/* online submission */
#endif 
	ios_base::sync_with_stdio(false); cin.tie(NULL);
}
const ll MOD = 1000000007LL;
const ll PRIME = 105943LL;
const ll INF = 1e18;
/****************************************************************/
map<pii, double> dp; // {4,1}
pii pnts[100001];
pii par[100001];
double dist(pii a, pii b) {
	return sqrt(pow(a.first - b.first, 2) + pow(a.second - b.second, 2));
}
void add(pii edge) {
	if (edge.first < edge.second) swap(edge.first, edge.second);
	dp[edge] = dist(pnts[edge.first], pnts[edge.second]);
}
double query(int a, int b) {
	if (a < b) swap(a, b); // a>b
	if (dp.find({ a,b }) != dp.end()) return dp[{a, b}];
	
	double ans = min(dist(pnts[a], pnts[par[a].second]) + query(par[a].second, b), dist(pnts[a], pnts[par[a].first]) + query(par[a].first, b));
	dp[{a, b}] = ans;
	return ans;
}
int main() {
	io();
	cin >> pnts[1].first >> pnts[1].second >> pnts[2].first >> pnts[2].second;
	add({ 1,2 });
	int n;
	cin >> n;
	int node = 3;
	FOR(i, 0, n) {
		char cmd;
		cin >> cmd;
		if (cmd == 'd') {
			cin >> pnts[node].first >> pnts[node].second;
			int a, b;
			cin >> a >> b;
			add({ node, a });
			add({ node, b });
			par[node] = { a,b };
			node++;
		}
		else {
			int a, b;
			cin >> a >> b;
			cout << fixed << setprecision(6) << query(a, b) << "\n";
		}
	}
	return 0;
}
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