QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#139105#6404. Shuttle TourthenymphsofdelphiAC ✓929ms269264kbC++205.6kb2023-08-12 17:48:502023-08-12 17:48:52

Judging History

你现在查看的是最新测评结果

  • [2023-08-12 17:48:52]
  • 评测
  • 测评结果:AC
  • 用时:929ms
  • 内存:269264kb
  • [2023-08-12 17:48:50]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define endl '\n'
#define fi first
#define se second
#define For(i, l, r) for (auto i = (l); i < (r); i++)
#define ForE(i, l, r) for (auto i = (l); i <= (r); i++)
#define FordE(i, l, r) for (auto i = (l); i >= (r); i--)
#define Fora(v, a) for (auto v: (a))
#define bend(a) (a).begin(), (a).end()
#define isz(a) ((signed)(a).size())

using ll = long long;
using ld = long double;
using pii = pair <int, int>;
using vi = vector <int>;
using vpii = vector <pii>;
using vvi = vector <vi>;

const int N = 2e5 + 5, K = 50, LN = 18;

int n, q;
bool a[N];
vpii adj[N];

int h[N];
ll d[N];

int sz[N];
int ctrtour, tin[N], tout[N];
int nxt[N];

void dfs_par(int u, int p = -1){
	for (auto &[v, w]: adj[u]){
		if (v == p){
			continue;
		}
		h[v] = h[u] + 1;
		d[v] = d[u] + w;
		dfs_par(v, u);
	}
	for (auto itr = adj[u].begin(); itr != adj[u].end(); itr++){
		if (itr->fi == p){
			adj[u].erase(itr);
			break;
		}
	}
}

void dfs_sz(int u){
	sz[u] = 1;
	for (auto &edge: adj[u]){
		int v = edge.fi;
		dfs_sz(v);
		sz[u] += sz[v];
		if (sz[adj[u][0].fi] < sz[v]){
			swap(adj[u][0], edge);
		}
	}
}

void dfs_tour(int u){
	tin[u] = ++ctrtour;
	for (auto &[v, w]: adj[u]){
		nxt[v] = (v == adj[u][0].fi ? nxt[u] : v);
		dfs_tour(v);
	}
	tout[u] = ctrtour;
}

int min_h(int u, int v){
	return h[u] < h[v] ? u : v;
}

int max_h(int u, int v){
	return h[u] > h[v] ? u : v;
}

int ctrtour_lca, tour_lca[N * 2], tin_lca[N];
int sptb[LN + 1][N * 2];

void dfs_lca(int u){
	tour_lca[++ctrtour_lca] = u;
	tin_lca[u] = ctrtour_lca;
	for (auto &[v, w]: adj[u]){
		dfs_lca(v);
		tour_lca[++ctrtour_lca] = u;
	}
}

int lca(int u, int v){
	if (tin_lca[u] > tin_lca[v]){
		swap(u, v);
	}
	int z = __lg(tin_lca[v] - tin_lca[u] + 1);
	return min_h(sptb[z][tin_lca[u]], sptb[z][tin_lca[v] - (1 << z) + 1]);
}

ll dist(int u, int v){
	int w = lca(u, v);
	return d[u] + d[v] - 2 * d[w];
}

int cnt_chain = 0;
int idx_chain[N];

struct segment_tree{
	static pair <int, int> merge_pair(const pair <int, int>& lhs, const pair <int, int>& rhs){
		return pair{min_h(lhs.fi, rhs.fi), max_h(lhs.se, rhs.se)};
	}

	struct node{
		pair <int, int> mnmx[K];

		node(){
			fill(mnmx, mnmx + cnt_chain, pair{N - 1, N - 2});
		}

		friend node merge(const node& lhs, const node& rhs){
			node ans;
			For(i, 0, cnt_chain){
				ans.mnmx[i] = merge_pair(lhs.mnmx[i], rhs.mnmx[i]);
			}
			return ans;
		}
	};

	node seg[1 << 19];

	void build(int id, int l, int r){
		seg[id] = node();
		if (l == r){
			seg[id].mnmx[idx_chain[l]] = pair{a[l] ? l : N - 1, a[l] ? l : N - 2};
			return;
		}
		int mid = (l + r) >> 1;
		build(id * 2, l, mid);
		build(id * 2 + 1, mid + 1, r);
		seg[id] = merge(seg[id * 2], seg[id * 2 + 1]);
	}

	void update(int id, int l, int r, int i){
		if (l == r){
			a[l] ^= 1;
			seg[id].mnmx[idx_chain[l]] = pair{a[l] ? l : N - 1, a[l] ? l : N - 2};
			return;
		}
		int mid = (l + r) >> 1;
		if (i <= mid){
			update(id * 2, l, mid, i);
		}
		else{
			update(id * 2 + 1, mid + 1, r, i);
		}
		seg[id] = merge(seg[id * 2], seg[id * 2 + 1]);
	}

	node query(int id, int l, int r, int u, int v){
		if (u <= l and r <= v){
			return seg[id];
		}
		int mid = (l + r) >> 1;
		if (v < mid + 1){
			return query(id * 2, l, mid, u, v);
		}
		if (mid < u){
			return query(id * 2 + 1, mid + 1, r, u, v);
		}
		return merge(query(id * 2, l, mid, u, v), query(id * 2 + 1, mid + 1, r, u, v));
	}
} seg;

signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	// freopen("KEK.inp", "r", stdin);
	// freopen("KEK.out", "w", stdout);
	h[N - 2] = -1; h[N - 1] = N;

	cin >> n >> q;
	ForE(u, 1, n){
		char c; cin >> c;
		a[u] = c - '0';
	}
	For(i, 1, n){
		int u, v, w; cin >> u >> v >> w;
		adj[u].emplace_back(v, w);
		adj[v].emplace_back(u, w);
	}

	dfs_par(1);
	dfs_sz(1);
	nxt[1] = 1;
	dfs_tour(1);

	dfs_lca(1);
	ForE(i, 1, ctrtour_lca){
		sptb[0][i] = tour_lca[i];
	}
	For(j, 1, LN + 1){
		ForE(i, 1, ctrtour_lca - (1 << j) + 1){
			sptb[j][i] = min_h(sptb[j - 1][i], sptb[j - 1][i + (1 << (j - 1))]);
		}
	}

	ForE(u, 1, n){
		if (nxt[u] == u){
			idx_chain[u] = cnt_chain++;
		}
	}
	ForE(u, 1, n){
		idx_chain[u] = idx_chain[nxt[u]];
	}
	seg.build(1, 1, n);

	while (q--){
		int type; cin >> type;
		if (type == 1){
			int u;
			cin >> u;
			seg.update(1, 1, n, u);
		}
		else{
			int l, r;
			cin >> l >> r;
			segment_tree::node val = seg.query(1, 1, n, l, r);
			vector <int> subset;
			int w = -1;
			For(i, 0, cnt_chain){
				if (val.mnmx[i].fi == N - 1){
					continue;
				}
				w = (w == -1 ? val.mnmx[i].fi : lca(w, val.mnmx[i].fi));
				subset.emplace_back(val.mnmx[i].se);
			}
			if (w == -1){
				cout << -1 << endl;
				continue;
			}
			subset.emplace_back(w);
			sort(bend(subset), [&](int u, int v){
				return tin[u] < tin[v];
			});
			ll ans = 0;
			For(i, 0, isz(subset)){
				int j = i + 1;
				if (j == isz(subset)) j = 0;
				ans += dist(subset[i], subset[j]);
			}
			cout << ans << endl;
		}
	}
}

/*
==================================================+
INPUT                                             |
--------------------------------------------------|

--------------------------------------------------|
==================================================+
OUTPUT                                            |
--------------------------------------------------|

--------------------------------------------------|
==================================================+
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 12ms
memory: 223280kb

input:

5 6
10110
1 2 1
1 3 10
2 4 100
3 5 1000
2 1 5
1 3
2 1 5
2 2 4
2 5 5
2 1 1

output:

222
202
0
-1
0

result:

ok 5 number(s): "222 202 0 -1 0"

Test #2:

score: 0
Accepted
time: 128ms
memory: 227544kb

input:

50 200000
00100100100001101010110100000111100011101110011010
14 47 940241413
11 43 331483591
37 38 496247070
47 46 832459694
7 15 16479291
1 30 402388666
30 8 513064064
46 50 739311480
5 4 761894947
32 41 631669659
17 24 715786564
35 20 763151642
32 33 492466005
39 11 186023146
9 7 805081251
3 42 25...

output:

17149847378
-1
26540740138
29613692754
21307948558
27003443184
11893407374
18332625722
20412196350
20281573062
29727468956
9593307160
9380710234
23682775470
16688997988
2856655228
14982588156
0
-1
9140136614
26193602866
22558599316
24807163344
19126284190
8533875940
7695830712
18079494744
0
27004673...

result:

ok 100000 numbers

Test #3:

score: 0
Accepted
time: 145ms
memory: 231048kb

input:

50 200000
10010001110011101101101011010011100101101010111001
1 25 560163135
2 7 696374536
33 39 14485266
39 22 456690113
4 5 267811886
18 6 657680382
3 43 865617406
25 14 885515220
41 34 919525052
42 50 410634144
8 3 487403277
3 30 701549676
2 43 54223104
7 34 691078766
14 23 323352590
26 48 4936558...

output:

17177676326
31373486130
15290175638
8192974494
22734716092
27802380120
6315957348
0
15780401446
15929384564
26423899248
9639532596
21199366790
26413065782
-1
29063665908
29925313598
28651879288
17144176262
16526083688
28206620550
26873163342
14840246174
32414950818
29985336496
0
11937422088
11131990...

result:

ok 100000 numbers

Test #4:

score: 0
Accepted
time: 130ms
memory: 229392kb

input:

50 200000
01011001001010000100001101100111011001101011101000
34 29 654100339
33 5 947063765
45 25 962067151
11 13 509130797
26 47 988757358
49 22 75267557
7 11 431530851
46 1 531969122
22 43 449891945
34 6 526679193
50 17 499004364
22 23 226725950
26 48 203414490
11 44 900725507
10 29 451714017
35 2...

output:

24080362406
0
0
21418182584
28358635244
28257750030
24520294678
21418182584
0
15335211126
28621468542
18664505530
19335499776
32374868794
23618866752
26801803500
24116134918
27676993638
30222353942
25612316674
20504702130
28400398734
29472795250
24400110084
20586186786
25612316674
0
30067400886
1297...

result:

ok 100000 numbers

Test #5:

score: 0
Accepted
time: 19ms
memory: 220996kb

input:

2 10
01
1 2 340134039
2 1 2
1 1
2 1 2
1 2
2 1 1
1 2
2 2 2
1 2
2 2 2
1 1

output:

0
680268078
0
0
-1

result:

ok 5 number(s): "0 680268078 0 0 -1"

Test #6:

score: 0
Accepted
time: 143ms
memory: 269020kb

input:

200000 100
1100001001001101010000111111011011101010001011011011011010101111010001111010101100101001010000110100100011111010011100101010010001011010111100101110010000101010000100111100000011001100111101110011000011010011011011100101100111101010111101110111001111111010001010010000110110100000111000111...

output:

187263442365796
187267199881816
187176203274470
187269896250018
187239740690858
186974761323092
187257776119514
187269896250018
187035239640930
186911636122472
187263030332128
187121605387264
187264313877130
187263442365796
187269896250018
187249588971104
187263442365796
187263442365796
187264313877...

result:

ok 50 numbers

Test #7:

score: 0
Accepted
time: 175ms
memory: 269264kb

input:

200000 100
1000100001000101011000010111101000110001110111010000000010100100001110001110011001001011000010001000101111000111000100111101111111011111101101011110010101110000011011000101010000101110000100101000101110011111110000010011010010001001010001101000001111001001011111110100100011011100010100101...

output:

187406582272754
187713357625510
187713357625510
187710409039730
187708440524170
187705546874918
187675370061160
187696435101958
187704004975728
187708440524170
187708440524170
187490194913408
186797006090958
187708440524170
187708440524170
187694259450196
187691068337432
187699562335668
187708440524...

result:

ok 50 numbers

Test #8:

score: 0
Accepted
time: 182ms
memory: 259452kb

input:

200000 100
1101110101111010101100101110111101001010101100011111011010101101001011000101011011110110110001000000110000100110101010001011100110100101010110001111000100011010101011100011111010111001011110110001001010000001010100000000100010010000110100101010000111010100100111001011101001000011010101011...

output:

187071935465024
186902015424650
186944515923806
187083386398370
187083386398370
186176053533638
187210565613960
186840136921858
187059112646348
186963648681914
187157614978100
187171857507720
186687953621656
187037985042418
184267618052908
185811051686090
186716949587794
186666528269428
186754258305...

result:

ok 50 numbers

Test #9:

score: 0
Accepted
time: 927ms
memory: 259896kb

input:

200000 200000
1010011001010010101000001000111111110110111100000011000110010101000001101110111000100011010101100011001011101100010100000010100000100110100001000111010000011001010111001001000000111001100110010100101010111000000000011110101110010101110110110101100001011001101010101001000010000010000000...

output:

185874943612396
186901189463748
185325592077116
187007806200644
185723936146376
186683200699722
186830061692652
186256265895174
186860903405924
186810412385682
186744028102060
186994420108608
186831837842360
180459525430870
186966649455016
186952309712742
185810351127924
186849618327982
186494273101...

result:

ok 100000 numbers

Test #10:

score: 0
Accepted
time: 926ms
memory: 259252kb

input:

200000 200000
1101100101010001011001101010110111010000001100111000100010001111101101110111001101000001101011010000001110101101001010011000001011000101010111001101100100101001100111010001101010011100101100010110000011110101101011000011101101010111101000000111100100011101000110011100011000010010001011...

output:

187559700459682
187535810670694
187366757549978
187509694959444
186405180245408
187572993046976
186802217032708
186278525122374
187171989295434
187404069323808
187366390326582
184670301024044
186230793287498
187530780070456
187597311483370
187406310330638
187384636670170
187047338416520
187544270920...

result:

ok 100000 numbers

Test #11:

score: 0
Accepted
time: 929ms
memory: 259336kb

input:

200000 200000
0011111000111101101011111111000010101011010000100000110110010110010000011010101011101001100001001001000001100110010100101101001111000111010011110100000100000001111111000001000101000011110001101101111000101001100010010011001101100111110000110001100001100011110011001100100010000010001101...

output:

187057082821034
187050489592834
185798962075874
186490497612254
185547643085476
185839649755426
186731725449660
186845143722558
186446910671932
186830913714546
186903848544526
186827856700414
187012840145598
187030896936824
186738571374322
186338959389628
186977751482606
187075649881228
186978915850...

result:

ok 100000 numbers

Test #12:

score: 0
Accepted
time: 8ms
memory: 222748kb

input:

1 3
0
2 1 1
1 1
2 1 1

output:

-1
0

result:

ok 2 number(s): "-1 0"

Test #13:

score: 0
Accepted
time: 17ms
memory: 223240kb

input:

7 2
0001100
1 2 1
2 3 10
3 4 100
4 5 1000
3 6 10000
6 7 100000
2 1 7
2 2 6

output:

2000
2000

result:

ok 2 number(s): "2000 2000"