Submission #382785

# Submission time Handle Problem Language Result Execution time Memory
382785 2021-03-28T07:56:24 Z maximath_1 Nice sequence (IZhO18_sequence) C++11
100 / 100
1936 ms 36164 KB
#include <stdio.h>
#include <string>
#include <math.h>
#include <algorithm>
#include <vector>
#include <string.h>
#include <numeric>
#include <queue>
#include <assert.h>
#include <map>
#include <set>
#include <limits.h>
using namespace std;

#define ll long long
#define ld long double
const int MX = 200005;
const int LG = (int)log2(MX) + 2;
const ll mod = 1e9 + 7;
const ll inv2 = (mod + 1) / 2;

#define gc getchar//_unlocked //can't for window server
void cin(int &x){
	char c = gc(); bool neg = false;
	for(; c < '0'||'9' < c; c = gc())
		if(c == '-') neg=true;
	x = c - '0'; c = gc();
	for(; '0' <= c && c <= '9'; c = gc())
		x = (x << 1) + (x << 3) + (c - '0');
	if(neg) x = -x;
}

int tc, n, m;

pair<bool, vector<int> > check(int len){
	vector<int> deg(len + 1, 0);

	for(int i = 0; i <= len; i ++){
		if(i - n >= 0) deg[i - n] ++;
		if(i + m <= len) deg[i + m] ++;
	}

	vector<int> pref(len + 1, 0);
	queue<int> q;
	for(int i = 0; i <= len; i ++){
		if(deg[i] == 0)
			q.push(i);
	}

	int cnt = 0;
	for(; q.size();){
		int nw = q.front(); q.pop();
		pref[nw] = ++ cnt;

		if(nw - n >= 0){
			deg[nw - n] --;
			if(deg[nw - n] == 0)
				q.push(nw - n);
		}

		if(nw + m <= len){
			deg[nw + m] --;
			if(deg[nw + m] == 0)
				q.push(nw + m);
		}
	}

	bool valid = 1;
	for(int i = 0; i <= len; i ++)
		if(deg[i] > 0) valid = 0;

	vector<int> res(len, 0);
	for(int i = 0; i < len; i ++)
		res[i] = pref[i + 1] - pref[i];

	return make_pair(valid, res);
}

int main(){
	cin(tc);

	for(; tc --;){
		cin(n); cin(m);

		int lf = max(n, m) - 1, rg = n + m, rs = lf;
		vector<int> ans(rs, -1);
		if(n > m) ans = vector<int>(rs, 1);

		for(int md; lf <= rg;){
			md = (lf + rg) / 2;
			pair<bool, vector<int> > get = check(md);
			if(get.first){
				ans = get.second;
				rs = md;
				lf = md + 1;
			}else{
				rg = md - 1;
			}
		}

		printf("%d\n", rs);
		for(int i = 0; i < rs; i ++)
			printf("%d ", ans[i]);
		printf("\n");
	}
	
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 384 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 364 KB Ok
5 Correct 1 ms 364 KB Ok
6 Correct 1 ms 364 KB Ok
7 Correct 1 ms 364 KB Ok
8 Correct 1 ms 364 KB Ok
9 Correct 1 ms 364 KB Ok
10 Correct 1 ms 364 KB Ok
11 Correct 1 ms 364 KB Ok
12 Correct 1 ms 364 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 364 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 384 KB Ok
5 Correct 2 ms 364 KB Ok
6 Correct 3 ms 364 KB Ok
7 Correct 12 ms 872 KB Ok
8 Correct 6 ms 620 KB Ok
9 Correct 16 ms 988 KB Ok
10 Correct 8 ms 620 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 364 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 384 KB Ok
5 Correct 1 ms 364 KB Ok
6 Correct 2 ms 364 KB Ok
7 Correct 1 ms 364 KB Ok
8 Correct 1 ms 364 KB Ok
9 Correct 1 ms 364 KB Ok
10 Correct 1 ms 364 KB Ok
11 Correct 1 ms 364 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 364 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 364 KB Ok
5 Correct 1 ms 364 KB Ok
6 Correct 319 ms 4956 KB Ok
7 Correct 262 ms 5400 KB Ok
8 Correct 552 ms 8888 KB Ok
9 Correct 405 ms 8836 KB Ok
10 Correct 216 ms 4404 KB Ok
11 Correct 395 ms 7296 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 384 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 364 KB Ok
5 Correct 1 ms 364 KB Ok
6 Correct 1 ms 364 KB Ok
7 Correct 1 ms 364 KB Ok
8 Correct 1 ms 364 KB Ok
9 Correct 1 ms 364 KB Ok
10 Correct 1 ms 364 KB Ok
11 Correct 1 ms 364 KB Ok
12 Correct 1 ms 364 KB Ok
13 Correct 1 ms 364 KB Ok
14 Correct 1 ms 364 KB Ok
15 Correct 1 ms 364 KB Ok
16 Correct 1 ms 384 KB Ok
17 Correct 1 ms 364 KB Ok
18 Correct 2 ms 364 KB Ok
19 Correct 1 ms 364 KB Ok
20 Correct 1 ms 364 KB Ok
21 Correct 1 ms 364 KB Ok
22 Correct 1 ms 364 KB Ok
23 Correct 1 ms 364 KB Ok
24 Correct 5 ms 364 KB Ok
25 Correct 5 ms 364 KB Ok
26 Correct 5 ms 364 KB Ok
27 Correct 5 ms 492 KB Ok
28 Correct 4 ms 364 KB Ok
29 Correct 4 ms 364 KB Ok
30 Correct 4 ms 364 KB Ok
31 Correct 5 ms 492 KB Ok
32 Correct 5 ms 364 KB Ok
33 Correct 5 ms 364 KB Ok
34 Correct 10 ms 492 KB Ok
35 Correct 9 ms 492 KB Ok
36 Correct 9 ms 492 KB Ok
37 Correct 9 ms 492 KB Ok
38 Correct 9 ms 492 KB Ok
39 Correct 10 ms 504 KB Ok
40 Correct 10 ms 492 KB Ok
41 Correct 9 ms 492 KB Ok
42 Correct 10 ms 492 KB Ok
43 Correct 10 ms 620 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 384 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 364 KB Ok
5 Correct 1 ms 364 KB Ok
6 Correct 1 ms 364 KB Ok
7 Correct 1 ms 364 KB Ok
8 Correct 1 ms 364 KB Ok
9 Correct 1 ms 364 KB Ok
10 Correct 1 ms 364 KB Ok
11 Correct 1 ms 364 KB Ok
12 Correct 1 ms 364 KB Ok
13 Correct 1 ms 364 KB Ok
14 Correct 1 ms 364 KB Ok
15 Correct 1 ms 364 KB Ok
16 Correct 1 ms 384 KB Ok
17 Correct 2 ms 364 KB Ok
18 Correct 3 ms 364 KB Ok
19 Correct 12 ms 872 KB Ok
20 Correct 6 ms 620 KB Ok
21 Correct 16 ms 988 KB Ok
22 Correct 8 ms 620 KB Ok
23 Correct 1 ms 364 KB Ok
24 Correct 1 ms 364 KB Ok
25 Correct 1 ms 364 KB Ok
26 Correct 1 ms 384 KB Ok
27 Correct 1 ms 364 KB Ok
28 Correct 2 ms 364 KB Ok
29 Correct 1 ms 364 KB Ok
30 Correct 1 ms 364 KB Ok
31 Correct 1 ms 364 KB Ok
32 Correct 1 ms 364 KB Ok
33 Correct 1 ms 364 KB Ok
34 Correct 5 ms 364 KB Ok
35 Correct 5 ms 364 KB Ok
36 Correct 5 ms 364 KB Ok
37 Correct 5 ms 492 KB Ok
38 Correct 4 ms 364 KB Ok
39 Correct 4 ms 364 KB Ok
40 Correct 4 ms 364 KB Ok
41 Correct 5 ms 492 KB Ok
42 Correct 5 ms 364 KB Ok
43 Correct 5 ms 364 KB Ok
44 Correct 10 ms 492 KB Ok
45 Correct 9 ms 492 KB Ok
46 Correct 9 ms 492 KB Ok
47 Correct 9 ms 492 KB Ok
48 Correct 9 ms 492 KB Ok
49 Correct 10 ms 504 KB Ok
50 Correct 10 ms 492 KB Ok
51 Correct 9 ms 492 KB Ok
52 Correct 10 ms 492 KB Ok
53 Correct 10 ms 620 KB Ok
54 Correct 237 ms 3612 KB Ok
55 Correct 310 ms 3960 KB Ok
56 Correct 289 ms 3792 KB Ok
57 Correct 223 ms 3216 KB Ok
58 Correct 273 ms 3728 KB Ok
59 Correct 260 ms 3512 KB Ok
60 Correct 234 ms 3012 KB Ok
61 Correct 228 ms 3336 KB Ok
62 Correct 301 ms 3808 KB Ok
63 Correct 249 ms 3416 KB Ok
64 Correct 288 ms 3948 KB Ok
65 Correct 287 ms 5164 KB Ok
66 Correct 246 ms 3476 KB Ok
67 Correct 221 ms 3592 KB Ok
68 Correct 251 ms 3428 KB Ok
69 Correct 421 ms 7916 KB Ok
70 Correct 407 ms 8260 KB Ok
71 Correct 420 ms 6820 KB Ok
72 Correct 414 ms 7880 KB Ok
73 Correct 411 ms 7272 KB Ok
74 Correct 408 ms 6584 KB Ok
75 Correct 410 ms 6464 KB Ok
76 Correct 412 ms 8544 KB Ok
77 Correct 420 ms 6496 KB Ok
78 Correct 426 ms 8708 KB Ok
79 Correct 413 ms 7532 KB Ok
80 Correct 395 ms 7732 KB Ok
81 Correct 425 ms 8556 KB Ok
82 Correct 419 ms 7704 KB Ok
83 Correct 416 ms 7072 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Ok
2 Correct 1 ms 384 KB Ok
3 Correct 1 ms 364 KB Ok
4 Correct 1 ms 364 KB Ok
5 Correct 1 ms 364 KB Ok
6 Correct 1 ms 364 KB Ok
7 Correct 1 ms 364 KB Ok
8 Correct 1 ms 364 KB Ok
9 Correct 1 ms 364 KB Ok
10 Correct 1 ms 364 KB Ok
11 Correct 1 ms 364 KB Ok
12 Correct 1 ms 364 KB Ok
13 Correct 1 ms 364 KB Ok
14 Correct 1 ms 364 KB Ok
15 Correct 1 ms 364 KB Ok
16 Correct 1 ms 384 KB Ok
17 Correct 2 ms 364 KB Ok
18 Correct 3 ms 364 KB Ok
19 Correct 12 ms 872 KB Ok
20 Correct 6 ms 620 KB Ok
21 Correct 16 ms 988 KB Ok
22 Correct 8 ms 620 KB Ok
23 Correct 1 ms 364 KB Ok
24 Correct 1 ms 364 KB Ok
25 Correct 1 ms 364 KB Ok
26 Correct 1 ms 384 KB Ok
27 Correct 1 ms 364 KB Ok
28 Correct 2 ms 364 KB Ok
29 Correct 1 ms 364 KB Ok
30 Correct 1 ms 364 KB Ok
31 Correct 1 ms 364 KB Ok
32 Correct 1 ms 364 KB Ok
33 Correct 1 ms 364 KB Ok
34 Correct 1 ms 364 KB Ok
35 Correct 1 ms 364 KB Ok
36 Correct 1 ms 364 KB Ok
37 Correct 1 ms 364 KB Ok
38 Correct 1 ms 364 KB Ok
39 Correct 319 ms 4956 KB Ok
40 Correct 262 ms 5400 KB Ok
41 Correct 552 ms 8888 KB Ok
42 Correct 405 ms 8836 KB Ok
43 Correct 216 ms 4404 KB Ok
44 Correct 395 ms 7296 KB Ok
45 Correct 5 ms 364 KB Ok
46 Correct 5 ms 364 KB Ok
47 Correct 5 ms 364 KB Ok
48 Correct 5 ms 492 KB Ok
49 Correct 4 ms 364 KB Ok
50 Correct 4 ms 364 KB Ok
51 Correct 4 ms 364 KB Ok
52 Correct 5 ms 492 KB Ok
53 Correct 5 ms 364 KB Ok
54 Correct 5 ms 364 KB Ok
55 Correct 10 ms 492 KB Ok
56 Correct 9 ms 492 KB Ok
57 Correct 9 ms 492 KB Ok
58 Correct 9 ms 492 KB Ok
59 Correct 9 ms 492 KB Ok
60 Correct 10 ms 504 KB Ok
61 Correct 10 ms 492 KB Ok
62 Correct 9 ms 492 KB Ok
63 Correct 10 ms 492 KB Ok
64 Correct 10 ms 620 KB Ok
65 Correct 237 ms 3612 KB Ok
66 Correct 310 ms 3960 KB Ok
67 Correct 289 ms 3792 KB Ok
68 Correct 223 ms 3216 KB Ok
69 Correct 273 ms 3728 KB Ok
70 Correct 260 ms 3512 KB Ok
71 Correct 234 ms 3012 KB Ok
72 Correct 228 ms 3336 KB Ok
73 Correct 301 ms 3808 KB Ok
74 Correct 249 ms 3416 KB Ok
75 Correct 288 ms 3948 KB Ok
76 Correct 287 ms 5164 KB Ok
77 Correct 246 ms 3476 KB Ok
78 Correct 221 ms 3592 KB Ok
79 Correct 251 ms 3428 KB Ok
80 Correct 421 ms 7916 KB Ok
81 Correct 407 ms 8260 KB Ok
82 Correct 420 ms 6820 KB Ok
83 Correct 414 ms 7880 KB Ok
84 Correct 411 ms 7272 KB Ok
85 Correct 408 ms 6584 KB Ok
86 Correct 410 ms 6464 KB Ok
87 Correct 412 ms 8544 KB Ok
88 Correct 420 ms 6496 KB Ok
89 Correct 426 ms 8708 KB Ok
90 Correct 413 ms 7532 KB Ok
91 Correct 395 ms 7732 KB Ok
92 Correct 425 ms 8556 KB Ok
93 Correct 419 ms 7704 KB Ok
94 Correct 416 ms 7072 KB Ok
95 Correct 711 ms 9576 KB Ok
96 Correct 1032 ms 13236 KB Ok
97 Correct 1032 ms 11128 KB Ok
98 Correct 710 ms 8896 KB Ok
99 Correct 809 ms 11616 KB Ok
100 Correct 911 ms 10448 KB Ok
101 Correct 955 ms 12732 KB Ok
102 Correct 913 ms 11904 KB Ok
103 Correct 885 ms 11728 KB Ok
104 Correct 1091 ms 12660 KB Ok
105 Correct 1055 ms 13036 KB Ok
106 Correct 806 ms 10652 KB Ok
107 Correct 982 ms 13884 KB Ok
108 Correct 1051 ms 12688 KB Ok
109 Correct 910 ms 10572 KB Ok
110 Correct 1886 ms 26408 KB Ok
111 Correct 1870 ms 34852 KB Ok
112 Correct 1936 ms 28996 KB Ok
113 Correct 1867 ms 32312 KB Ok
114 Correct 1920 ms 33636 KB Ok
115 Correct 1896 ms 34560 KB Ok
116 Correct 1926 ms 35288 KB Ok
117 Correct 1753 ms 34120 KB Ok
118 Correct 1826 ms 27680 KB Ok
119 Correct 1872 ms 34124 KB Ok
120 Correct 1865 ms 28516 KB Ok
121 Correct 1848 ms 29580 KB Ok
122 Correct 1872 ms 31468 KB Ok
123 Correct 1876 ms 36164 KB Ok
124 Correct 1862 ms 26732 KB Ok
125 Correct 1909 ms 19308 KB Ok