Submission #580461

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
580461	2022-06-21T09:32:23 Z	haojiandan	Stranded Far From Home (BOI22_island)	C++14	100 / 100	143 ms	33196 KB

island

// wygzgyw
#include <bits/stdc++.h>
using namespace std;
template <typename T> void read(T &t) {
	t=0; char ch=getchar(); int f=1;
	while (ch<'0'||ch>'9') { if (ch=='-') f=-1; ch=getchar(); }
	do { (t*=10)+=ch-'0'; ch=getchar(); } while ('0'<=ch&&ch<='9'); t*=f;
}
template <typename T> void write(T t) {
	if (t<0) { putchar('-'); write(-t); return; }
	if (t>9) write(t/10);
	putchar('0'+t%10);
}
template <typename T> void writeln(T t) { write(t); puts(""); }
#define MP make_pair
typedef long long ll;
const int maxn=(4e5)+10;
int n,m;
ll s[maxn],t[maxn];
vector<int> g[maxn];
struct node {
	int x,y;
	friend bool operator < (node A,node B) { return s[A.x]<s[B.x]; }
} E[maxn];
int fa[maxn],f[maxn],tot;
int find(int x) {
	if (fa[x]==x) return x;
	return fa[x]=find(fa[x]);
}
bool mk[maxn];
char S[maxn];
void dfs(int u) {
	if (mk[u]) return;
	if (u<=n) S[u]='1';
	for (int &v : g[u]) dfs(v);
}
int main() {
	read(n),read(m);
	for (int i=1;i<=n;i++) read(s[i]),t[i]=s[i],f[i]=fa[i]=i;
	tot=n;
	int x,y;
	for (int i=1;i<=m;i++) {
		read(x),read(y);
		if (s[x]<s[y]) swap(x,y);
		E[i]=(node){x,y};
	}
	sort(E+1,E+m+1);
	for (int i=1;i<=m;i++) {
		x=E[i].x,y=E[i].y;
		if (find(x)==find(y)) continue;
		y=find(y);
		if (t[y]<s[x]) mk[f[y]]=1;
		x=find(x);
		fa[x]=y,t[y]+=t[x],tot++;
		g[tot].push_back(f[x]),g[tot].push_back(f[y]);
		f[x]=tot,f[y]=tot;
	}
	for (int i=1;i<=n;i++) S[i]='0';
	dfs(tot);
	printf("%s\n",S+1);
	return 0;
}
/*
  0. Enough array size? Enough array size? Enough array size? Integer overflow?
  
  1. Think TWICE, Code ONCE!
  Are there any counterexamples to your algo?
    
  2. Be careful about the BOUNDARIES!
  N=1? P=1? Something about 0?
    
  3. Do not make STUPID MISTAKES!
  Time complexity? Memory usage? Precision error?
*/

Subtask #1

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	9684 KB	Output is correct
2	Correct	5 ms	9684 KB	Output is correct
3	Correct	5 ms	9684 KB	Output is correct
4	Correct	6 ms	9760 KB	Output is correct
5	Correct	7 ms	9812 KB	Output is correct
6	Correct	6 ms	9812 KB	Output is correct
7	Correct	8 ms	9812 KB	Output is correct
8	Correct	6 ms	9812 KB	Output is correct
9	Correct	6 ms	9812 KB	Output is correct
10	Correct	7 ms	9812 KB	Output is correct
11	Correct	8 ms	9812 KB	Output is correct
12	Correct	6 ms	9812 KB	Output is correct
13	Correct	8 ms	9812 KB	Output is correct
14	Correct	7 ms	9812 KB	Output is correct

Subtask #2

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	9684 KB	Output is correct
2	Correct	7 ms	9692 KB	Output is correct
3	Correct	91 ms	27488 KB	Output is correct
4	Correct	73 ms	24012 KB	Output is correct
5	Correct	122 ms	22740 KB	Output is correct
6	Correct	130 ms	24212 KB	Output is correct
7	Correct	126 ms	23144 KB	Output is correct
8	Correct	143 ms	24968 KB	Output is correct
9	Correct	92 ms	24828 KB	Output is correct
10	Correct	76 ms	29672 KB	Output is correct
11	Correct	103 ms	29024 KB	Output is correct
12	Correct	90 ms	23780 KB	Output is correct
13	Correct	71 ms	23724 KB	Output is correct
14	Correct	73 ms	24408 KB	Output is correct
15	Correct	93 ms	29560 KB	Output is correct
16	Correct	67 ms	29860 KB	Output is correct

Subtask #3

15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	9684 KB	Output is correct
2	Correct	108 ms	26160 KB	Output is correct
3	Correct	126 ms	25172 KB	Output is correct
4	Correct	108 ms	24264 KB	Output is correct
5	Correct	67 ms	23752 KB	Output is correct
6	Correct	110 ms	24596 KB	Output is correct
7	Correct	83 ms	30516 KB	Output is correct
8	Correct	79 ms	30400 KB	Output is correct
9	Correct	55 ms	29588 KB	Output is correct
10	Correct	98 ms	24168 KB	Output is correct
11	Correct	68 ms	25304 KB	Output is correct

Subtask #4

30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	9684 KB	Output is correct
2	Correct	118 ms	25160 KB	Output is correct
3	Correct	111 ms	25812 KB	Output is correct
4	Correct	108 ms	23596 KB	Output is correct
5	Correct	110 ms	27044 KB	Output is correct
6	Correct	103 ms	25292 KB	Output is correct
7	Correct	75 ms	30404 KB	Output is correct
8	Correct	52 ms	28976 KB	Output is correct
9	Correct	49 ms	18428 KB	Output is correct
10	Correct	82 ms	23584 KB	Output is correct
11	Correct	74 ms	24024 KB	Output is correct

Subtask #5

35.0 / 35.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	9684 KB	Output is correct
2	Correct	5 ms	9684 KB	Output is correct
3	Correct	5 ms	9684 KB	Output is correct
4	Correct	6 ms	9760 KB	Output is correct
5	Correct	7 ms	9812 KB	Output is correct
6	Correct	6 ms	9812 KB	Output is correct
7	Correct	8 ms	9812 KB	Output is correct
8	Correct	6 ms	9812 KB	Output is correct
9	Correct	6 ms	9812 KB	Output is correct
10	Correct	7 ms	9812 KB	Output is correct
11	Correct	8 ms	9812 KB	Output is correct
12	Correct	6 ms	9812 KB	Output is correct
13	Correct	8 ms	9812 KB	Output is correct
14	Correct	7 ms	9812 KB	Output is correct
15	Correct	6 ms	9684 KB	Output is correct
16	Correct	7 ms	9692 KB	Output is correct
17	Correct	91 ms	27488 KB	Output is correct
18	Correct	73 ms	24012 KB	Output is correct
19	Correct	122 ms	22740 KB	Output is correct
20	Correct	130 ms	24212 KB	Output is correct
21	Correct	126 ms	23144 KB	Output is correct
22	Correct	143 ms	24968 KB	Output is correct
23	Correct	92 ms	24828 KB	Output is correct
24	Correct	76 ms	29672 KB	Output is correct
25	Correct	103 ms	29024 KB	Output is correct
26	Correct	90 ms	23780 KB	Output is correct
27	Correct	71 ms	23724 KB	Output is correct
28	Correct	73 ms	24408 KB	Output is correct
29	Correct	93 ms	29560 KB	Output is correct
30	Correct	67 ms	29860 KB	Output is correct
31	Correct	6 ms	9684 KB	Output is correct
32	Correct	108 ms	26160 KB	Output is correct
33	Correct	126 ms	25172 KB	Output is correct
34	Correct	108 ms	24264 KB	Output is correct
35	Correct	67 ms	23752 KB	Output is correct
36	Correct	110 ms	24596 KB	Output is correct
37	Correct	83 ms	30516 KB	Output is correct
38	Correct	79 ms	30400 KB	Output is correct
39	Correct	55 ms	29588 KB	Output is correct
40	Correct	98 ms	24168 KB	Output is correct
41	Correct	68 ms	25304 KB	Output is correct
42	Correct	5 ms	9684 KB	Output is correct
43	Correct	118 ms	25160 KB	Output is correct
44	Correct	111 ms	25812 KB	Output is correct
45	Correct	108 ms	23596 KB	Output is correct
46	Correct	110 ms	27044 KB	Output is correct
47	Correct	103 ms	25292 KB	Output is correct
48	Correct	75 ms	30404 KB	Output is correct
49	Correct	52 ms	28976 KB	Output is correct
50	Correct	49 ms	18428 KB	Output is correct
51	Correct	82 ms	23584 KB	Output is correct
52	Correct	74 ms	24024 KB	Output is correct
53	Correct	7 ms	9684 KB	Output is correct
54	Correct	5 ms	9732 KB	Output is correct
55	Correct	6 ms	9708 KB	Output is correct
56	Correct	6 ms	9812 KB	Output is correct
57	Correct	7 ms	9812 KB	Output is correct
58	Correct	6 ms	9812 KB	Output is correct
59	Correct	6 ms	9812 KB	Output is correct
60	Correct	6 ms	9812 KB	Output is correct
61	Correct	6 ms	9812 KB	Output is correct
62	Correct	6 ms	9812 KB	Output is correct
63	Correct	7 ms	9864 KB	Output is correct
64	Correct	6 ms	9824 KB	Output is correct
65	Correct	6 ms	9840 KB	Output is correct
66	Correct	8 ms	9812 KB	Output is correct
67	Correct	83 ms	28600 KB	Output is correct
68	Correct	59 ms	24336 KB	Output is correct
69	Correct	98 ms	23248 KB	Output is correct
70	Correct	103 ms	24592 KB	Output is correct
71	Correct	115 ms	22972 KB	Output is correct
72	Correct	104 ms	24384 KB	Output is correct
73	Correct	87 ms	24736 KB	Output is correct
74	Correct	69 ms	30028 KB	Output is correct
75	Correct	79 ms	30232 KB	Output is correct
76	Correct	69 ms	24100 KB	Output is correct
77	Correct	56 ms	23676 KB	Output is correct
78	Correct	67 ms	23660 KB	Output is correct
79	Correct	80 ms	31132 KB	Output is correct
80	Correct	55 ms	32020 KB	Output is correct
81	Correct	101 ms	24948 KB	Output is correct
82	Correct	107 ms	25696 KB	Output is correct
83	Correct	105 ms	22608 KB	Output is correct
84	Correct	57 ms	24476 KB	Output is correct
85	Correct	102 ms	27376 KB	Output is correct
86	Correct	76 ms	33196 KB	Output is correct
87	Correct	87 ms	33084 KB	Output is correct
88	Correct	113 ms	22960 KB	Output is correct
89	Correct	69 ms	23172 KB	Output is correct
90	Correct	108 ms	23236 KB	Output is correct
91	Correct	119 ms	26624 KB	Output is correct
92	Correct	123 ms	27140 KB	Output is correct
93	Correct	110 ms	26060 KB	Output is correct
94	Correct	104 ms	24536 KB	Output is correct
95	Correct	80 ms	31040 KB	Output is correct
96	Correct	62 ms	27940 KB	Output is correct
97	Correct	48 ms	17508 KB	Output is correct
98	Correct	58 ms	22812 KB	Output is correct
99	Correct	76 ms	24548 KB	Output is correct
100	Correct	35 ms	13260 KB	Output is correct
101	Correct	117 ms	26996 KB	Output is correct
102	Correct	91 ms	23140 KB	Output is correct
103	Correct	89 ms	23292 KB	Output is correct
104	Correct	124 ms	23852 KB	Output is correct