Submission #943508

# Submission time Handle Problem Language Result Execution time Memory
943508 2024-03-11T14:35:59 Z guagua0407 Capital City (JOI20_capital_city) C++17
100 / 100
102 ms 35704 KB
#pragma GCC optimize(3,"Ofast","inline")
#pragma G++ optimize(3,"Ofast","inline")

#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <vector>

#define R                  register int
#define re(i,a,b)          for(R i=a; i<=b; i++)
#define ms(i,a)            memset(a,i,sizeof(a))
#define MAX(a,b)           (((a)>(b)) ? (a):(b))
#define MIN(a,b)           (((a)<(b)) ? (a):(b))

using namespace std;

typedef long long LL;

namespace IO {
	#include <cctype>

	template <typename T>
	inline void read(T &x){
		x=0;
		char c=0;
		T w=0;
		while (!isdigit(c)) w|=c=='-',c=getchar();
		while (isdigit(c)) x=x*10+(c^48),c=getchar();
		if(w) x=-x;
	}

	template <typename T>
	inline void write(T x) {
	    if(x<0) putchar('-'),x=-x;
	    if(x<10) putchar(x+'0');
	        else write(x/10),putchar(x%10+'0');
	}

	template <typename T>
	inline void writeln(T x) {
	    write(x);
	    putchar('\n');
	}
}

using IO::read;
using IO::write;
using IO::writeln;

const int N=2e5+5;

int n,k,clk,scc,ans;
int dfn[N],c[N],mn[N],rr[N],idfn[N],f[N],low[N],st[N],tp,sz[N],bel[N];
bool ins[N],ban[N];
vector<int> e[N],v[N];

inline void cmin(int &x,int y) {
	y < x ? x= y : 0;
}

void dfs(int x) {
    idfn[dfn[x]=++clk]=x;
    for(int i=0,y; i<e[x].size(); i++)
        if(!dfn[y=e[x][i]]) f[y]=x,dfs(y);
    rr[x]=clk;
}

void tarjan(int x) {
    dfn[x]=low[x]=++clk;
	st[++tp]=x;
	ins[x]=1;
    for(int i=0,y; i<v[x].size(); i++)
        if(!dfn[y=v[x][i]]) tarjan(y),cmin(low[x],low[y]);
        	else if(ins[y]) cmin(low[x],dfn[y]);
    if(dfn[x]==low[x]) {
        int y;
		scc++;
        do {
			y=st[tp--];
			ins[y]=0;
			bel[y]=scc;
			sz[scc]++;
		} while(y!=x);
    }
}

int main() {
	read(n);
	read(k);
	ans=k;
    for(int i=1; i<n; i++) {
    	int x,y;
    	read(x);
    	read(y);
        e[x].push_back(y);
		e[y].push_back(x);
    }
    dfs(1);
	memset(mn,0x3f,sizeof(mn));
    for(int i=1; i<=n; i++) {
		scanf("%d",&c[i]);
		cmin(mn[c[i]],dfn[i]);
	}
    for(int i=1; i<=n; i++)
		if(dfn[i]>rr[idfn[mn[c[i]]]])
			mn[c[i]]=0;
    for(int i=1; i<=n; i++)
		if(dfn[i]^mn[c[i]])
			v[c[i]].push_back(c[f[i]]);
    memset(dfn,0,sizeof(dfn));
	clk=0;
	for(int i=1; i<=k; i++)
		if(!dfn[i]) tarjan(i);
    for(int i=1; i<=k; i++)
		for(int j=0; j<v[i].size(); j++)
			if(bel[i]^bel[v[i][j]])
				ban[bel[i]]=1;
    for(int i=1; i<=scc; i++)
		if(!ban[i]) ans=MIN(ans,sz[i]);
    writeln(ans-1);
    return 0;
}

Compilation message

capital_city.cpp:2: warning: ignoring '#pragma G ' [-Wunknown-pragmas]
    2 | #pragma G++ optimize(3,"Ofast","inline")
      | 
capital_city.cpp: In function 'void dfs(int)':
capital_city.cpp:65:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |     for(int i=0,y; i<e[x].size(); i++)
      |                    ~^~~~~~~~~~~~
capital_city.cpp: In function 'void tarjan(int)':
capital_city.cpp:74:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |     for(int i=0,y; i<v[x].size(); i++)
      |                    ~^~~~~~~~~~~~
capital_city.cpp: In function 'int main()':
capital_city.cpp:117:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  117 |   for(int j=0; j<v[i].size(); j++)
      |                ~^~~~~~~~~~~~
capital_city.cpp:103:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  103 |   scanf("%d",&c[i]);
      |   ~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 15704 KB Output is correct
2 Correct 4 ms 15708 KB Output is correct
3 Correct 5 ms 15708 KB Output is correct
4 Correct 4 ms 15708 KB Output is correct
5 Correct 4 ms 15708 KB Output is correct
6 Correct 5 ms 15708 KB Output is correct
7 Correct 4 ms 15708 KB Output is correct
8 Correct 4 ms 15708 KB Output is correct
9 Correct 4 ms 15708 KB Output is correct
10 Correct 4 ms 15552 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 15704 KB Output is correct
2 Correct 4 ms 15708 KB Output is correct
3 Correct 5 ms 15708 KB Output is correct
4 Correct 4 ms 15708 KB Output is correct
5 Correct 4 ms 15708 KB Output is correct
6 Correct 5 ms 15708 KB Output is correct
7 Correct 4 ms 15708 KB Output is correct
8 Correct 4 ms 15708 KB Output is correct
9 Correct 4 ms 15708 KB Output is correct
10 Correct 4 ms 15552 KB Output is correct
11 Correct 4 ms 15704 KB Output is correct
12 Correct 5 ms 15704 KB Output is correct
13 Correct 5 ms 15708 KB Output is correct
14 Correct 4 ms 15708 KB Output is correct
15 Correct 5 ms 15708 KB Output is correct
16 Correct 5 ms 15708 KB Output is correct
17 Correct 4 ms 15708 KB Output is correct
18 Correct 4 ms 15792 KB Output is correct
19 Correct 5 ms 15708 KB Output is correct
20 Correct 5 ms 15708 KB Output is correct
21 Correct 4 ms 15704 KB Output is correct
22 Correct 5 ms 15964 KB Output is correct
23 Correct 6 ms 15708 KB Output is correct
24 Correct 4 ms 15708 KB Output is correct
25 Correct 4 ms 15704 KB Output is correct
26 Correct 5 ms 15708 KB Output is correct
27 Correct 4 ms 15728 KB Output is correct
28 Correct 5 ms 15964 KB Output is correct
29 Correct 5 ms 15708 KB Output is correct
30 Correct 4 ms 15704 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 81 ms 35664 KB Output is correct
2 Correct 55 ms 35556 KB Output is correct
3 Correct 78 ms 35240 KB Output is correct
4 Correct 48 ms 35704 KB Output is correct
5 Correct 77 ms 34132 KB Output is correct
6 Correct 50 ms 35664 KB Output is correct
7 Correct 81 ms 34128 KB Output is correct
8 Correct 52 ms 35276 KB Output is correct
9 Correct 73 ms 32336 KB Output is correct
10 Correct 79 ms 31404 KB Output is correct
11 Correct 75 ms 32596 KB Output is correct
12 Correct 75 ms 33588 KB Output is correct
13 Correct 74 ms 31312 KB Output is correct
14 Correct 72 ms 33616 KB Output is correct
15 Correct 102 ms 33536 KB Output is correct
16 Correct 96 ms 31612 KB Output is correct
17 Correct 73 ms 32084 KB Output is correct
18 Correct 83 ms 32224 KB Output is correct
19 Correct 75 ms 33360 KB Output is correct
20 Correct 79 ms 34156 KB Output is correct
21 Correct 4 ms 15708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 15704 KB Output is correct
2 Correct 4 ms 15708 KB Output is correct
3 Correct 5 ms 15708 KB Output is correct
4 Correct 4 ms 15708 KB Output is correct
5 Correct 4 ms 15708 KB Output is correct
6 Correct 5 ms 15708 KB Output is correct
7 Correct 4 ms 15708 KB Output is correct
8 Correct 4 ms 15708 KB Output is correct
9 Correct 4 ms 15708 KB Output is correct
10 Correct 4 ms 15552 KB Output is correct
11 Correct 4 ms 15704 KB Output is correct
12 Correct 5 ms 15704 KB Output is correct
13 Correct 5 ms 15708 KB Output is correct
14 Correct 4 ms 15708 KB Output is correct
15 Correct 5 ms 15708 KB Output is correct
16 Correct 5 ms 15708 KB Output is correct
17 Correct 4 ms 15708 KB Output is correct
18 Correct 4 ms 15792 KB Output is correct
19 Correct 5 ms 15708 KB Output is correct
20 Correct 5 ms 15708 KB Output is correct
21 Correct 4 ms 15704 KB Output is correct
22 Correct 5 ms 15964 KB Output is correct
23 Correct 6 ms 15708 KB Output is correct
24 Correct 4 ms 15708 KB Output is correct
25 Correct 4 ms 15704 KB Output is correct
26 Correct 5 ms 15708 KB Output is correct
27 Correct 4 ms 15728 KB Output is correct
28 Correct 5 ms 15964 KB Output is correct
29 Correct 5 ms 15708 KB Output is correct
30 Correct 4 ms 15704 KB Output is correct
31 Correct 81 ms 35664 KB Output is correct
32 Correct 55 ms 35556 KB Output is correct
33 Correct 78 ms 35240 KB Output is correct
34 Correct 48 ms 35704 KB Output is correct
35 Correct 77 ms 34132 KB Output is correct
36 Correct 50 ms 35664 KB Output is correct
37 Correct 81 ms 34128 KB Output is correct
38 Correct 52 ms 35276 KB Output is correct
39 Correct 73 ms 32336 KB Output is correct
40 Correct 79 ms 31404 KB Output is correct
41 Correct 75 ms 32596 KB Output is correct
42 Correct 75 ms 33588 KB Output is correct
43 Correct 74 ms 31312 KB Output is correct
44 Correct 72 ms 33616 KB Output is correct
45 Correct 102 ms 33536 KB Output is correct
46 Correct 96 ms 31612 KB Output is correct
47 Correct 73 ms 32084 KB Output is correct
48 Correct 83 ms 32224 KB Output is correct
49 Correct 75 ms 33360 KB Output is correct
50 Correct 79 ms 34156 KB Output is correct
51 Correct 4 ms 15708 KB Output is correct
52 Correct 96 ms 28604 KB Output is correct
53 Correct 71 ms 28748 KB Output is correct
54 Correct 75 ms 28740 KB Output is correct
55 Correct 69 ms 28772 KB Output is correct
56 Correct 91 ms 28736 KB Output is correct
57 Correct 97 ms 28636 KB Output is correct
58 Correct 68 ms 29724 KB Output is correct
59 Correct 68 ms 30032 KB Output is correct
60 Correct 88 ms 30288 KB Output is correct
61 Correct 88 ms 30084 KB Output is correct
62 Correct 50 ms 35576 KB Output is correct
63 Correct 50 ms 35468 KB Output is correct
64 Correct 61 ms 35340 KB Output is correct
65 Correct 49 ms 35564 KB Output is correct
66 Correct 65 ms 31516 KB Output is correct
67 Correct 67 ms 31432 KB Output is correct
68 Correct 69 ms 31620 KB Output is correct
69 Correct 66 ms 31652 KB Output is correct
70 Correct 99 ms 31580 KB Output is correct
71 Correct 62 ms 31420 KB Output is correct
72 Correct 69 ms 31648 KB Output is correct
73 Correct 66 ms 31176 KB Output is correct
74 Correct 67 ms 31656 KB Output is correct
75 Correct 63 ms 31560 KB Output is correct
76 Correct 73 ms 32084 KB Output is correct
77 Correct 74 ms 32128 KB Output is correct
78 Correct 101 ms 32180 KB Output is correct
79 Correct 69 ms 31040 KB Output is correct
80 Correct 82 ms 34036 KB Output is correct
81 Correct 97 ms 32552 KB Output is correct
82 Correct 86 ms 32736 KB Output is correct
83 Correct 76 ms 31304 KB Output is correct
84 Correct 88 ms 33840 KB Output is correct
85 Correct 75 ms 32848 KB Output is correct
86 Correct 77 ms 31056 KB Output is correct
87 Correct 77 ms 31872 KB Output is correct
88 Correct 73 ms 32340 KB Output is correct
89 Correct 72 ms 30900 KB Output is correct
90 Correct 69 ms 30620 KB Output is correct
91 Correct 91 ms 31792 KB Output is correct
92 Correct 84 ms 31336 KB Output is correct
93 Correct 68 ms 30988 KB Output is correct
94 Correct 76 ms 30736 KB Output is correct
95 Correct 78 ms 31452 KB Output is correct
96 Correct 75 ms 30932 KB Output is correct
97 Correct 72 ms 31572 KB Output is correct