#include <bits/stdc++.h>
using namespace std;
#define mp(a,b) make_pair(a,b)
#define mt make_tuple
#define ff first
#define setp setprecision(12)<<fixed
#define ss second
#define fori(v) for(int i=0; i<v; i++)
#define forj(v) for(int j=0; j<v; j++)
#define fork(v) for(int k=0; k<v; k++)
#define forl(v) for(int l=0; l<v; l++)
#define fort(v) for(int t=0; t<v; t++)
#define forz(v) for(int z=0; z<v; z++)
#define ll long long
#define lll __int128
#define ld long double
#define pb(a) push_back(a)
// #define cout out
// #define cin in
ll inf = pow(10,18);
ll modulo = 1000000007;
double eps = 1e-10;
ifstream in;
ofstream out;
#define MAX 200'200
ll arr[MAX];
namespace dsu{
int aid[MAX];
vector<int> dsu[MAX];
vector<int> good[MAX];
priority_queue<pair<int, int> , vector<pair<int, int> > , greater<pair<int, int> > > edg[MAX];
ll s[MAX];
void ini(int n){
fori(n){
aid[i] = i, dsu[i].clear(), dsu[i].push_back(i), good[i].pb(i), s[i] = arr[i];
while(!edg[i].empty()){
edg[i].pop();
}
}
}
ll join(int a,int b){ // 1 - if joined, 0 - if they were already joined
int aid1 = aid[a], aid2 = aid[b];
if(aid1==aid2)
return -1;
if(dsu[aid2].size() > dsu[aid1].size())
swap(aid1,aid2);
{
if(good[aid1].size() < good[aid2].size()){
swap(good[aid1], good[aid2]);
}
for(auto& el : good[aid2]){
good[aid1].pb(el);
}
good[aid2].clear();
}
{
if(edg[aid1].size() < edg[aid2].size()){
swap(edg[aid1], edg[aid2]);
}
while(!edg[aid2].empty()){
auto tp = edg[aid2].top();
auto hd = tp.ss;
if(aid[hd] != aid1 && aid[hd]!=aid2){
edg[aid1].push(tp);
}
edg[aid2].pop();
}
}
for(auto hd : dsu[aid2]){
aid[hd] = aid1;
dsu[aid1].push_back(hd);
}
dsu[aid2].clear();
s[aid1]+=s[aid2];
return aid1;
}
};
using namespace dsu;
bool debug = 0;
void deal(){
srand(time(NULL));
ll n, m;
if(debug){
n = 2e2, m = 2e3;
}
else{
cin>>n>>m;
}
fori(n){
if(debug){
arr[i] = rand() % (100);
}
else{
cin>>arr[i];
}
}
ini(n);
/*
if(debug){
fori(n-1){
edg[0].push(mp(arr[i+1],i+1));
edg[i+1].push(mp(arr[0],0));
}
}
*/
fori(m){
ll ai, bi;
if(!debug){
cin>>ai>>bi;
--ai, --bi;
}
else{
ai = rand() % n , bi = (ai + rand() % (n-1) + 1)%n;
assert(ai != bi);
}
edg[ai].push(mp(arr[bi], bi));
edg[bi].push(mp(arr[ai], ai));
}
set<pair<ll, ll> > all; // components and their sizes
fori(n){
all.insert(mp(arr[i], i));
}
while((ll)all.size() > 1){
auto it = all.begin();
ll hd = (*it).ss;
all.erase(all.begin());
assert(!edg[hd].empty());
// assert(!all.empty());
while(1){
assert(!edg[hd].empty());
auto it = edg[hd].top();
ll wh = it.ss;
if(aid[wh] == hd){
edg[hd].pop();
continue;
}
else{
if(s[hd] >= arr[wh]){
edg[hd].pop();
ll hr = aid[wh];
auto it = all.find(mp(s[hr], hr) );
if(it != all.end()){
all.erase(it);
}
ll cr = join(hd, hr);
assert(cr != -1);
all.insert(mp(s[cr], cr));
}
else{
good[hd].clear();
}
break;
}
}
}
vector<bool> ans(n, 0);
fori(n){
for(auto& el : good[i]){
ans[el] = 1;
}
}
fori(n){
cout<<ans[i];
}
}
int main(){
cin.tie(0);
ios_base::sync_with_stdio(0);
deal();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
15956 KB |
Output is correct |
3 |
Correct |
8 ms |
15956 KB |
Output is correct |
4 |
Correct |
11 ms |
16340 KB |
Output is correct |
5 |
Correct |
11 ms |
16388 KB |
Output is correct |
6 |
Correct |
11 ms |
16300 KB |
Output is correct |
7 |
Correct |
10 ms |
16364 KB |
Output is correct |
8 |
Correct |
12 ms |
16260 KB |
Output is correct |
9 |
Correct |
10 ms |
16344 KB |
Output is correct |
10 |
Correct |
11 ms |
16340 KB |
Output is correct |
11 |
Correct |
12 ms |
16428 KB |
Output is correct |
12 |
Correct |
11 ms |
16340 KB |
Output is correct |
13 |
Correct |
11 ms |
16340 KB |
Output is correct |
14 |
Correct |
11 ms |
16364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
15888 KB |
Output is correct |
2 |
Correct |
8 ms |
15956 KB |
Output is correct |
3 |
Correct |
430 ms |
59548 KB |
Output is correct |
4 |
Correct |
302 ms |
52388 KB |
Output is correct |
5 |
Correct |
564 ms |
55680 KB |
Output is correct |
6 |
Correct |
570 ms |
56864 KB |
Output is correct |
7 |
Correct |
570 ms |
56720 KB |
Output is correct |
8 |
Correct |
341 ms |
53284 KB |
Output is correct |
9 |
Correct |
360 ms |
56416 KB |
Output is correct |
10 |
Correct |
181 ms |
52900 KB |
Output is correct |
11 |
Correct |
292 ms |
52980 KB |
Output is correct |
12 |
Correct |
465 ms |
55760 KB |
Output is correct |
13 |
Correct |
339 ms |
51396 KB |
Output is correct |
14 |
Correct |
284 ms |
51308 KB |
Output is correct |
15 |
Correct |
279 ms |
51364 KB |
Output is correct |
16 |
Correct |
206 ms |
51096 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
16012 KB |
Output is correct |
2 |
Correct |
727 ms |
60840 KB |
Output is correct |
3 |
Correct |
698 ms |
60856 KB |
Output is correct |
4 |
Correct |
314 ms |
51376 KB |
Output is correct |
5 |
Correct |
304 ms |
51380 KB |
Output is correct |
6 |
Correct |
740 ms |
62792 KB |
Output is correct |
7 |
Correct |
271 ms |
53024 KB |
Output is correct |
8 |
Correct |
265 ms |
53032 KB |
Output is correct |
9 |
Correct |
194 ms |
51988 KB |
Output is correct |
10 |
Correct |
387 ms |
62988 KB |
Output is correct |
11 |
Correct |
458 ms |
64436 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
15956 KB |
Output is correct |
2 |
Correct |
628 ms |
59244 KB |
Output is correct |
3 |
Correct |
596 ms |
59760 KB |
Output is correct |
4 |
Correct |
583 ms |
61204 KB |
Output is correct |
5 |
Correct |
660 ms |
61368 KB |
Output is correct |
6 |
Correct |
598 ms |
60172 KB |
Output is correct |
7 |
Correct |
243 ms |
52920 KB |
Output is correct |
8 |
Correct |
214 ms |
54604 KB |
Output is correct |
9 |
Correct |
271 ms |
44524 KB |
Output is correct |
10 |
Correct |
625 ms |
62740 KB |
Output is correct |
11 |
Correct |
468 ms |
62604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
15956 KB |
Output is correct |
3 |
Correct |
8 ms |
15956 KB |
Output is correct |
4 |
Correct |
11 ms |
16340 KB |
Output is correct |
5 |
Correct |
11 ms |
16388 KB |
Output is correct |
6 |
Correct |
11 ms |
16300 KB |
Output is correct |
7 |
Correct |
10 ms |
16364 KB |
Output is correct |
8 |
Correct |
12 ms |
16260 KB |
Output is correct |
9 |
Correct |
10 ms |
16344 KB |
Output is correct |
10 |
Correct |
11 ms |
16340 KB |
Output is correct |
11 |
Correct |
12 ms |
16428 KB |
Output is correct |
12 |
Correct |
11 ms |
16340 KB |
Output is correct |
13 |
Correct |
11 ms |
16340 KB |
Output is correct |
14 |
Correct |
11 ms |
16364 KB |
Output is correct |
15 |
Correct |
10 ms |
15888 KB |
Output is correct |
16 |
Correct |
8 ms |
15956 KB |
Output is correct |
17 |
Correct |
430 ms |
59548 KB |
Output is correct |
18 |
Correct |
302 ms |
52388 KB |
Output is correct |
19 |
Correct |
564 ms |
55680 KB |
Output is correct |
20 |
Correct |
570 ms |
56864 KB |
Output is correct |
21 |
Correct |
570 ms |
56720 KB |
Output is correct |
22 |
Correct |
341 ms |
53284 KB |
Output is correct |
23 |
Correct |
360 ms |
56416 KB |
Output is correct |
24 |
Correct |
181 ms |
52900 KB |
Output is correct |
25 |
Correct |
292 ms |
52980 KB |
Output is correct |
26 |
Correct |
465 ms |
55760 KB |
Output is correct |
27 |
Correct |
339 ms |
51396 KB |
Output is correct |
28 |
Correct |
284 ms |
51308 KB |
Output is correct |
29 |
Correct |
279 ms |
51364 KB |
Output is correct |
30 |
Correct |
206 ms |
51096 KB |
Output is correct |
31 |
Correct |
9 ms |
16012 KB |
Output is correct |
32 |
Correct |
727 ms |
60840 KB |
Output is correct |
33 |
Correct |
698 ms |
60856 KB |
Output is correct |
34 |
Correct |
314 ms |
51376 KB |
Output is correct |
35 |
Correct |
304 ms |
51380 KB |
Output is correct |
36 |
Correct |
740 ms |
62792 KB |
Output is correct |
37 |
Correct |
271 ms |
53024 KB |
Output is correct |
38 |
Correct |
265 ms |
53032 KB |
Output is correct |
39 |
Correct |
194 ms |
51988 KB |
Output is correct |
40 |
Correct |
387 ms |
62988 KB |
Output is correct |
41 |
Correct |
458 ms |
64436 KB |
Output is correct |
42 |
Correct |
8 ms |
15956 KB |
Output is correct |
43 |
Correct |
628 ms |
59244 KB |
Output is correct |
44 |
Correct |
596 ms |
59760 KB |
Output is correct |
45 |
Correct |
583 ms |
61204 KB |
Output is correct |
46 |
Correct |
660 ms |
61368 KB |
Output is correct |
47 |
Correct |
598 ms |
60172 KB |
Output is correct |
48 |
Correct |
243 ms |
52920 KB |
Output is correct |
49 |
Correct |
214 ms |
54604 KB |
Output is correct |
50 |
Correct |
271 ms |
44524 KB |
Output is correct |
51 |
Correct |
625 ms |
62740 KB |
Output is correct |
52 |
Correct |
468 ms |
62604 KB |
Output is correct |
53 |
Correct |
9 ms |
15956 KB |
Output is correct |
54 |
Correct |
9 ms |
15956 KB |
Output is correct |
55 |
Correct |
8 ms |
15956 KB |
Output is correct |
56 |
Correct |
10 ms |
16272 KB |
Output is correct |
57 |
Correct |
12 ms |
16404 KB |
Output is correct |
58 |
Correct |
10 ms |
16340 KB |
Output is correct |
59 |
Correct |
11 ms |
16276 KB |
Output is correct |
60 |
Correct |
10 ms |
16256 KB |
Output is correct |
61 |
Correct |
11 ms |
16400 KB |
Output is correct |
62 |
Correct |
11 ms |
16404 KB |
Output is correct |
63 |
Correct |
10 ms |
16340 KB |
Output is correct |
64 |
Correct |
10 ms |
16340 KB |
Output is correct |
65 |
Correct |
10 ms |
16268 KB |
Output is correct |
66 |
Correct |
11 ms |
16340 KB |
Output is correct |
67 |
Correct |
399 ms |
62092 KB |
Output is correct |
68 |
Correct |
281 ms |
54168 KB |
Output is correct |
69 |
Correct |
539 ms |
56412 KB |
Output is correct |
70 |
Correct |
530 ms |
58584 KB |
Output is correct |
71 |
Correct |
560 ms |
56848 KB |
Output is correct |
72 |
Correct |
292 ms |
55096 KB |
Output is correct |
73 |
Correct |
346 ms |
58508 KB |
Output is correct |
74 |
Correct |
165 ms |
54008 KB |
Output is correct |
75 |
Correct |
237 ms |
54392 KB |
Output is correct |
76 |
Correct |
435 ms |
56992 KB |
Output is correct |
77 |
Correct |
288 ms |
52540 KB |
Output is correct |
78 |
Correct |
266 ms |
52504 KB |
Output is correct |
79 |
Correct |
272 ms |
53644 KB |
Output is correct |
80 |
Correct |
180 ms |
54336 KB |
Output is correct |
81 |
Correct |
731 ms |
62988 KB |
Output is correct |
82 |
Correct |
700 ms |
63512 KB |
Output is correct |
83 |
Correct |
290 ms |
51416 KB |
Output is correct |
84 |
Correct |
288 ms |
53224 KB |
Output is correct |
85 |
Correct |
671 ms |
65720 KB |
Output is correct |
86 |
Correct |
249 ms |
55732 KB |
Output is correct |
87 |
Correct |
248 ms |
55608 KB |
Output is correct |
88 |
Correct |
405 ms |
61856 KB |
Output is correct |
89 |
Correct |
463 ms |
62136 KB |
Output is correct |
90 |
Correct |
581 ms |
59384 KB |
Output is correct |
91 |
Correct |
579 ms |
63544 KB |
Output is correct |
92 |
Correct |
587 ms |
65412 KB |
Output is correct |
93 |
Correct |
626 ms |
64812 KB |
Output is correct |
94 |
Correct |
609 ms |
61960 KB |
Output is correct |
95 |
Correct |
284 ms |
55208 KB |
Output is correct |
96 |
Correct |
218 ms |
56684 KB |
Output is correct |
97 |
Correct |
277 ms |
45116 KB |
Output is correct |
98 |
Correct |
609 ms |
63088 KB |
Output is correct |
99 |
Correct |
444 ms |
63164 KB |
Output is correct |
100 |
Correct |
123 ms |
28580 KB |
Output is correct |
101 |
Correct |
659 ms |
63480 KB |
Output is correct |
102 |
Correct |
501 ms |
59668 KB |
Output is correct |
103 |
Correct |
561 ms |
56108 KB |
Output is correct |
104 |
Correct |
634 ms |
58692 KB |
Output is correct |