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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#77060#5506. HyperloopHe_RenAC ✓722ms38240kbC++232.2kb2023-02-13 00:57:582023-02-13 00:58:08

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-02-13 00:58:08]
  • 评测
  • 测评结果:AC
  • 用时:722ms
  • 内存:38240kb
  • [2023-02-13 00:57:58]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int MAXN = 1e5 + 5;
const int MAXP = MAXN * 17;
const ll linf = 0x3f3f3f3f3f3f3f3f;

const int MX = 5e4;

int ls[MAXP], rs[MAXP], sum[MAXP], pcnt = 0;
#define lson(u) ls[u],l,mid
#define rson(u) rs[u],mid+1,r

int new_Node(int u)
{
	int v = ++pcnt;
	ls[v] = ls[u]; rs[v] = rs[u]; sum[v] = sum[u];
	return v;
}
void insert(int &u,int l,int r,int q)
{
	u = new_Node(u);
	++sum[u];
	if(l == r) return;
	int mid = (l+r)>>1;
	if(q<=mid) insert(lson(u),q);
	else insert(rson(u),q);
}
int cmp(int u,int v,int l,int r,int qu,int qv)
{
	int cu = sum[u] + (l <= qu && qu <= r);
	int cv = sum[v] + (l <= qv && qv <= r);
	if(cu == 0 || cv == 0 || l == r) return cu - cv;
	int mid = (l+r)>>1;
	int res = cmp(rs[u],rson(v),qu,qv);
	if(res == 0) res = cmp(ls[u],lson(v),qu,qv);
	return res;
}

vector<pii> g[MAXN];
ll dis[MAXN];
bool vis[MAXN];
pii pre[MAXN];
int rt[MAXN];

void solve(void)
{
	int n,m;
	scanf("%d%d",&n,&m);
	for(int i=1; i<=n; ++i)
	{
		g[i].clear();
		g[i].shrink_to_fit();
	}
	for(int i=1; i<=m; ++i)
	{
		int u,v,w;
		scanf("%d%d%d",&u,&v,&w);
		g[u].emplace_back(v,w);
		g[v].emplace_back(u,w);
	}
	
	for(int i=1; i<=n; ++i)
		dis[i] = linf, vis[i] = 0;
	pcnt = 0;
	
	priority_queue< pair<ll,int> > q;
	dis[1] = 0;
	q.emplace(0, 1);
	while(q.size())
	{
		int u = q.top().second; q.pop();
		if(vis[u]) continue;
		vis[u] = 1;
		
		if(u != 1) insert(rt[u] = rt[pre[u].first], 1, MX, pre[u].second);
		
		for(auto it: g[u])
		{
			int v = it.first, w = it.second;
			if(dis[v] > dis[u] + w)
			{
				dis[v] = dis[u] + w;
				pre[v] = {u, w};
				q.emplace(-dis[v], v);
			}
			else if(dis[v] == dis[u] + w)
			{
				if(cmp(rt[pre[v].first], rt[u], 1, MX, pre[v].second, w) < 0)
					pre[v] = {u, w};
			}
		}
	}
	
	vector<int> res;
	for(int u=n; u!=1; u=pre[u].first)
		res.emplace_back(u);
	res.emplace_back(1);
	
	reverse(res.begin(), res.end());
	
	printf("%d\n",(int)res.size());
	for(auto t: res)
		printf("%d ",t);
	printf("\n");
}

int main(void)
{
//	printf("%lf\n",(sizeof(ls) * 3) / 1024.0 / 1024.0);
	
	int T;
	scanf("%d",&T);
	while(T--) solve();
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 4ms
memory: 5988kb

input:

2
4 6
1 2 1
1 3 2
2 3 1
2 4 2
3 4 1
1 4 4
6 11
1 2 9
2 3 12
3 4 3
4 5 5
5 6 10
6 1 22
2 4 9
3 6 1
4 6 5
2 5 2
3 5 8

output:

3
1 2 4 
5
1 2 5 3 6 

result:

ok correct (2 test cases)

Test #2:

score: 0
Accepted
time: 264ms
memory: 6060kb

input:

600
320 1547
204 81 13768
232 97 9939
97 249 3719
201 109 14322
183 132 40881
142 143 1
275 186 24548
18 236 7907
30 317 11845
131 130 1
311 300 11704
141 92 41925
174 191 32128
119 120 1
184 183 1
310 309 1
283 270 25477
233 141 36076
212 92 13770
307 110 40656
218 137 14033
180 85 41892
200 199 44...

output:

184
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 10...

result:

ok correct (600 test cases)

Test #3:

score: 0
Accepted
time: 460ms
memory: 35992kb

input:

4
100000 220000
48940 43355 42347
77914 77913 1
45236 82683 42904
22563 16038 34866
81537 81538 43088
49803 51485 25497
63071 25523 14336
44102 39850 43782
13607 92386 16724
98711 73651 46840
17775 16801 28765
5757 98829 13508
85095 48444 1
9198 43003 32678
14461 14462 1
20245 48742 18138
89120 8911...

output:

35000
1 24721 99899 75483 98325 75489 73433 99907 61946 61953 99423 25093 25110 25111 25096 43056 43055 43054 43053 43052 43051 43050 43049 43048 43047 43046 43045 43044 43043 43042 43041 43040 43039 43038 43037 43036 43035 43034 43033 43032 43031 43030 43029 43028 43027 43026 43025 43024 43023 4302...

result:

ok correct (4 test cases)

Test #4:

score: 0
Accepted
time: 722ms
memory: 38240kb

input:

4
100000 160000
5533 94547 28459
14992 20984 20548
70133 92512 27510
9013 9012 304
13621 40571 47787
305 306 262
6987 6988 135
16234 16992 40656
26246 49196 27701
19103 60272 44055
91532 91531 38290
70778 68341 35147
32524 32523 13
85786 50300 40970
49277 29735 13942
43446 34519 42455
77623 17031 34...

output:

316
1 2 3 4 5 6 97410 97409 26434 26435 26436 26437 98883 1370 1369 1368 92157 92158 4815 4816 4817 4818 50181 16985 89607 89608 24674 16979 16980 38428 13232 13233 13234 13664 13663 95009 7166 96104 99210 7163 24798 24799 11787 31031 53551 7309 7310 35482 7933 25067 32714 32715 44194 2068 72216 795...

result:

ok correct (4 test cases)

Test #5:

score: 0
Accepted
time: 651ms
memory: 37796kb

input:

4
100000 160000
89517 25671 43802
21059 21058 1
35299 91834 43615
53383 53382 1
27213 39161 17202
10715 4050 30342
44100 44099 1
24162 28648 7378
19022 23084 37734
66056 97934 14651
31566 89391 23215
91038 91037 1
47695 47696 6099
99142 99143 1
83908 73654 15060
15551 22001 8896
55190 55189 1
26536 ...

output:

632
1 94660 94677 94678 31269 99964 31301 99859 87898 99994 31289 91859 99884 91857 99690 91849 91828 99991 2509 2566 99990 2584 71982 99989 71980 74130 74129 99693 84670 84671 71536 30302 30303 20794 20793 39288 39287 25125 25124 25123 25122 68794 25688 25689 25690 25691 25692 25693 25694 25695 256...

result:

ok correct (4 test cases)