Idea: MikeMirzayanov

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int t;
cin >> t;
while (t--) {
int a, b;
cin >> a >> b;
if (a % b == 0) cout << 0 << endl;
else cout << b - a % b << endl;
}
return 0;
}
```

Idea: MikeMirzayanov

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
#define forn(i, n) for (int i = 0; i < int(n); i++)
int main() {
int t;
cin >> t;
forn(tt, t) {
int n, k;
cin >> n >> k;
string s(n, 'a');
for (int i = n - 2; i >= 0; i--) {
if (k <= (n - i - 1)) {
s[i] = 'b';
s[n - k] = 'b';
cout << s << endl;
break;
}
k -= (n - i - 1);
}
}
}
```

Idea: vovuh

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int t;
cin >> t;
while (t--) {
int n;
string x;
cin >> n >> x;
string a(n, '0'), b(n, '0');
for (int i = 0; i < n; ++i) {
if (x[i] == '1') {
a[i] = '1';
b[i] = '0';
for (int j = i + 1; j < n; ++j) {
b[j] = x[j];
}
break;
} else {
a[i] = b[i] = '0' + (x[i] - '0') / 2;
}
}
cout << a << endl << b << endl;
}
return 0;
}
```

Idea: MikeMirzayanov

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
int solve() {
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; ++i) {
cin >> a[i];
}
if (count(a.begin(), a.end(), a[0]) == n) {
cout << 1 << endl;
for (int i = 0; i < n; ++i) {
cout << 1 << " ";
}
cout << endl;
return 0;
}
if (n % 2 == 0) {
cout << 2 << endl;
for (int i = 0; i < n; ++i) {
cout << i % 2 + 1 << " ";
}
cout << endl;
return 0;
}
for (int i = 0; i < n; ++i) {
if (a[i] == a[(i + 1) % n]) {
vector<int> ans(n);
for (int j = 0, pos = i + 1; pos < n; ++pos, j ^= 1) {
ans[pos] = j + 1;
}
for (int j = 0, pos = i; pos >= 0; --pos, j ^= 1) {
ans[pos] = j + 1;
}
cout << 2 << endl;
for (int pos = 0; pos < n; ++pos) {
cout << ans[pos] << " ";
}
cout << endl;
return 0;
}
}
cout << 3 << endl;
for (int i = 0; i < n - 1; ++i) {
cout << i % 2 + 1 << " ";
}
cout << 3 << endl;
return 0;
}
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int q;
cin >> q;
for (int qq = 0; qq < q; qq++) {
solve();
}
return 0;
}
```

Idea: MikeMirzayanov and vovuh

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
int T;
vector<int> p, d;
vector<int> tin, tout;
vector<vector<int>> g;
void dfs(int v, int par = -1, int dep = 0) {
p[v] = par;
d[v] = dep;
tin[v] = T++;
for (auto to : g[v]) {
if (to == par) continue;
dfs(to, v, dep + 1);
}
tout[v] = T++;
}
bool isAnc(int v, int u) {
return tin[v] <= tin[u] && tout[u] <= tout[v];
}
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int n, m;
cin >> n >> m;
T = 0;
p = d = vector<int>(n);
tin = tout = vector<int>(n);
g = vector<vector<int>>(n);
for (int i = 0; i < n - 1; ++i) {
int x, y;
cin >> x >> y;
--x, --y;
g[x].push_back(y);
g[y].push_back(x);
}
dfs(0);
for (int i = 0; i < m; ++i) {
int k;
cin >> k;
vector<int> v(k);
for (auto &it : v) {
cin >> it;
--it;
}
int u = v[0];
for (auto it : v) if (d[u] < d[it]) u = it;
for (auto &it : v) {
if (it == u) continue;
if (p[it] != -1) it = p[it];
}
bool ok = true;
for (auto it : v) ok &= isAnc(it, u);
if (ok) cout << "YES" << endl;
else cout << "NO" << endl;
}
return 0;
}
```

Idea: MikeMirzayanov

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
const long long INF64 = 1e18;
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int n, k;
cin >> n >> k;
vector<int> a(n);
for (auto &it : a) cin >> it;
sort(a.begin(), a.end());
vector<pair<int, int>> cnt;
for (auto it : a) {
if (cnt.empty() || cnt.back().first != it) {
cnt.push_back({it, 1});
} else {
++cnt.back().second;
}
}
vector<long long> prefsum, sufsum;
vector<int> prefcnt, sufcnt;
for (int i = 0; i < int(cnt.size()); ++i) {
long long cursum = cnt[i].first * 1ll * cnt[i].second;
int curcnt = cnt[i].second;
if (prefsum.empty()) {
prefsum.push_back(cursum);
prefcnt.push_back(curcnt);
} else {
prefsum.push_back(prefsum.back() + cursum);
prefcnt.push_back(prefcnt.back() + curcnt);
}
}
for (int i = int(cnt.size()) - 1; i >= 0; --i) {
long long cursum = cnt[i].first * 1ll * cnt[i].second;
int curcnt = cnt[i].second;
if (sufsum.empty()) {
sufsum.push_back(cursum);
sufcnt.push_back(curcnt);
} else {
sufsum.push_back(sufsum.back() + cursum);
sufcnt.push_back(sufcnt.back() + curcnt);
}
}
reverse(sufsum.begin(), sufsum.end());
reverse(sufcnt.begin(), sufcnt.end());
long long ans = INF64;
for (int i = 0; i < int(cnt.size()); ++i) {
int cur = max(0, k - cnt[i].second);
int needl = 0;
if (i > 0) needl = min(cur, prefcnt[i - 1]);
int needr = max(0, cur - needl);
long long res = 0;
if (i > 0 && needl > 0) {
res += prefcnt[i - 1] * 1ll * (cnt[i].first - 1) - prefsum[i - 1];
res += needl;
}
if (i + 1 < int(cnt.size()) && needr > 0) {
res += sufsum[i + 1] - sufcnt[i + 1] * 1ll * (cnt[i].first + 1);
res += needr;
}
ans = min(ans, res);
needr = 0;
if (i + 1 < int(cnt.size())) needr = min(cur, sufcnt[i + 1]);
needl = max(0, cur - needr);
res = 0;
if (i > 0 && needl > 0) {
res += prefcnt[i - 1] * 1ll * (cnt[i].first - 1) - prefsum[i - 1];
res += needl;
}
if (i + 1 < int(cnt.size()) && needr > 0) {
res += sufsum[i + 1] - sufcnt[i + 1] * 1ll * (cnt[i].first + 1);
res += needr;
}
ans = min(ans, res);
}
cout << ans << endl;
return 0;
}
```

Thanks for the editorial

Could someone please elaborate the tutorial for question B? Specifically, from where did we get the equations

`k<=n-i-1`

and`n-i-1`

?Starting at the end, for every index, let's imagine some string such that it looks like

`aaaaaabb`

.Now imagine the left-most

`b`

moving to the left. For each move to the left, the right-most`b`

has one more possible location. For example,`aaaaaabb`

has 1 position for the second`b`

,`aaaaabab`

has 2, and so on.This remaining k value can also help us calculate the position of the right-most

`b`

because of the fact that it's remainder once it is less than`n-i-1`

hints at where it should go.Got your point. Thank you! :)

Can you please explain it again. I still did not get why are we using 'k'. 'k' is just the position of string that we need to print right ?. Why are we checking if k<=n-i-1 to find the left occurrence of 'b'?

With every K , position of B is changing and notice how...look at first 10 permutation provided in the problem itself. It's not arbitrary there is a pattern. Now value of K will tell us how the final change might look like if you get the pattern.

I still didnt got your point. How we are forming these equations k<=n-i-1 and n-i-1?

Consider a string s of length n. First, number the positions of the letters from 1(rightmost letter) to n(leftmost letter).

Lexicographically, the smallest string will have a 'b' in positions 2 and 1. It is easy to observe that there will be

`i - 1`

strings having leftmost letter in the`i`

th position. So, all you need to do is`k -= (i - 1)`

as long as`k > 0`

and`i`

goes from`2`

to`n`

. Suppose,`j`

is the smallest value of`i`

for which you weren't able to perform this operation. That means the leftmost`b`

will be at position`j`

. Since, this is`j`

from the right, it will be equivalent to`n - j + 1`

from the left. This will be`s[n - j]`

.Now, if you would have

`k = 1`

then rightmost`b`

will be at position of`1`

. In general, for some remaining value of`k`

, the rightmost`b`

would be at position`k`

. So, that would mean`n - k + 1`

from the left. That would mean`s[n - k]`

.For eg:

`n = 7`

and`k = 5`

. You can do`k -= 1`

and`k -= 2`

to get`k = 2`

.`j`

will be`4`

. That means`s[7 - 4] = 'b'`

. Also, if`k = 2`

then`s[7 - 2] = 'b'`

. Thus,`s = "aaababa"`

for`k = 5`

and`n = 7`

.I hope this helps. It will be easier to understand it if you work it out a bit more on paper with examples of your own.

Ok. Nice explanation!

If you notice carefully here k <= n-i-1 is really k <= (n-1)-i. And this (n-1)-i indicates the available position for right most 'b'.

Now lets try to find a pattern from the given example in problem statement.

when the left most 'b''s position is 3 we have 1 available space for rightmost 'b'

when the left most 'b''s position is 2 we have 2 available space for rightmost 'b'

when the left most 'b''s position is 1 we have 3 available space for rightmost 'b'

when the left most 'b''s position is 0 we have 4 available space for rightmost 'b'

Notice if k > available position for 2nd 'b' that means we have to increase the available position and to increase it we have to shift our 1st 'b' 1 position left. And if we shift our 1st 'b' 1 position left that means we have already considered all the position for 2nd 'b' for the available position. So we simply just subtract available position from k

very very nice explanation..thank you

thank you

nice contest :)

I am unable to understand third part of D's code . Any hint .. it seemed very easy ,but still i got wa at tc 2.

you can always get an answer if you color every odd vertex with 1 and every even with 2 but when n is odd then first and last will have same color.so if you have a consecutive pair with same value then you can color both of them with same value which will change parity of all subsequent numbers.EX: 1,2,2,3,4 can be colored as 1,2,2,1,2 instead of 1,2,1,2,1. and if no such pair exist then you have to use 3rd color.

u must have forgotten to check if first ans last are same.

I had a different approach for 1st problem but it did not accept And when I compile on my idea it worked good.please help me

I checked your code, the idea is absolutely correct. However, you need to print a newline after every distinct answer otherwise answers for all test cases would be shown side by side. cout<<count_<<endl; Make this change in your code and it should work fine!

\n is faster than endl

Yes, but that's a different topic. Since he wrote the previous terms in CPP manner, I suggested using endl. And for this problem, this is not even a big deal!

even apply this I think his code gives TLE because of constraint 10^9.

will definitely timeout

Your solution will not work for large cases.

Let me expand the solution given, i.e how this equation came up

`b - a%b`

— let's derive it.We know we can write

`a`

as`a = b * k + a%b`

where k is the quotient.`k`

can also be written as`k = (a - a%b)/b`

. We are interested to find the next`k`

for which remainder is zero, so we need`k+1`

.So,

`a + c = (k+1)b + 0`

where c is the count/number of steps (+1) to add to`a`

to make`a%b`

zero. Substituting`k`

from above to find c:`a+c = b * ((a- a%b)/b + 1)) = (a - a%b) + b`

`a+c = a - a%b + b`

`c = b - a%b`

. There it is!The constraints for problem B were weak many o(k) solutions passed. Example — https://codeforces.com/contest/1328/submission/74509641. I tried to hack it but can't

They'd probably FST.

Let's hope.

It passed o_0

This is actually unfair to those who actually solved it :(

I did B in O(1) per test case

`sqrtl()`

is actually`O(lg n)`

sorry. Overlooked that. Thanks bhavsar

Printing the string is O(n)

Oh Yes. I was so much excited to solve t[he main part in O(1). I completely forgot to consider that.

Thanks Srk1C

Yes, I also used quadratic equation to solve the main part. Cheers!

nah, I also think that I did it in O(1) till reading these comments :D

hey harsh_joeyit can you explain your solution of B Problem

Sure:)

I am still having a problem understanding. What I understood for first 'b' is that it will be 1 time in 1st position, 2 times in second position and so on, but how do I find out that what will be the answer when I have only the info of 'k'.

Though thanks for the observation.

I understood why you used this formula, but Sorry, I can't understand how you used this formula when only 'k' and 'n' are given.

we have to run n from 1 to find the value.

@MahinHossen See the position of the first/left 'b' from the right is 2 for the first term, 3 for the next two terms etc.,

i.e., for n = 5

aaabb

aabab aabba

abaab ababa abbaa

baaab baaba babaa bbaaa

Iterate from i = 2 to n

from the right side. Stop when i*(i+1)/2>k; then the value of i from the right gives the position of the left 'b'. Then do val = k-i(i-1)/2. The position corresponding to val from the right side gives the position of right 'b' .For example, in the above case where n=5, take k= 4; then i = 3, is the min number such that i*i+1/2>4. So the position of left 'b' is 4th from the right Now, 4-i*i-1/2 = 4-3= 1 So the position of the right 'b' is 1st from the right. Here the indexing from right is considered to start from 1.

Hope this clears

Your explanation is great. It very much clears everything. Thank you very much from the bottom of the heart.

from where you find the expression k-i*i+1/2to find the position of right b;

Thanks harsh_joeyit nice explanation, got ur method

Beautiful approach for E!

Is there a name for the technique used in E? Or where can I read more on it (formal proofs, etc.)?

LCA using euler tour

Actually, you can solve some tasks about LCA such as https://codeforces.com/blog/entry/43917?locale=ru

I have a different approach for B.

We know that after n*(n-1)/2 permutations, both b's will be together. So we can basically make an array of all such numbers (1,3,6,10,..),and for a given k, we can find an n s.t n*(n-1)/2<=k (by binary search). Let j be the pos of that n. We can clearly see that for this value the no. of a's after the 2 b's will be exactly j (i.e, we can determine that particular permutation).

So, from that permutation, we can lexicographically check next permutations till we reach k and print that kth permutation.

C++ soln:74461692

why did u go upto 8*10000 not upto 100000

K is a t max 2*10^9. So n would be < 2*sqrt(2*10^9) which is approximately 89000. And as we had n*(n-1), i took 8*10^5 in the estimate. You could have put a higher value.

I had the same idea with you bro! my code: https://codeforces.com/contest/1328/submission/74525103

Even I did the same with very easy implementation. Solution

Yes, I used binary search too.

" Write some LCA algorithms and other hard stuff or

write about 15 lines of codeand solve the problem " — One of the best editorial (E problem)!can anyone explain me problem F in simple words like how to solve the problem. i am not able to clearly understand the tutorial please help thanks in advance

I believe E can be solved by just maintain an array of vertex while do dfs. When you enter a vertex mark it and all it son in the maintained array, when you leave a vertex remove all it sons from the array. Now we can answer the queries in the order we visit the vertexes in the dfs. When we enter to a vertex v , we know exactly which vertexes appear on the path to it or in dist 1 and we can answer all the queries where u = v.

My mistake, I changed the problem in my head and made U alway the last vertex of the query.

I don't understand the solution for E after it explained how to figure out if vertex u is parent of vertex v. Can somebody explain it please ? (I don't want the explanation for checking if one vertex is ancestor of another, I want explanation for AFTER it).

if Vertex A is ancestor of Vertex B, on the way of reaching B we will cross A

In dfs(), we mark every vertex by its parent. (say u is parent of v, we mark v with u).

On the path to reach the deepest vertex(say vertex x) in each query:

3a. we mark all vertices with parent vertex 1(because vertex 1 is always on the path , therefore we can reach all of the immdediate children of vertex 1, since they all have distance of '1 unit' from the path )

3b. we mark all the ancestors of 'x'( cause we will cross them to reach 'x')

3c. we mark all the immdediate children of these ancestors we found( because we still can reach them as maximum distance from the path to x is '1')

My solution for Question

D without using Graphs and DP.https://codeforces.com/contest/1328/submission/74499296

The site is too f#cking slow today, it's taking minutes to logout/login, all links are loading really slow, is this normal or is this new??

because of the quarantine that is in place in a lot of countries a lot of people have more time to practice CP so the site gets a lot more people on it.

Anyone else used

Quadratic equationsto solve the main part of QuestionB in O(1)for each test case??My solution :- https://codeforces.com/contest/1328/submission/74439092

Yeahh...me....that give the position of "b"'s in O(1)

Me. But as someone suggested above, sqrt is O(logN). Even I got excited and overlooked this tiny detail . No O(1) but AC nevertheless , so who cares !!

How can quadratic equation be used to solve 1328B - K-th Beautiful String ? can you explain the logic ?

Let q and w be positions of "b" in the final string from right side.Then refer to this image given below.Can someone suggest some good resources to learn how to make changes in DFS methods amd efficient graph algorithms...like many a times I see dfs1 and dfs2 kimd of functions.... Expecting genuine help!!

Dear MikeMirzayanov and Vovuh, nice problems. But Someone stole my rating after this round. I was dark blue color, so i should be unrated for this Div 3 !

Thank MikeMirzayanov and Vovuh for interesting problems and fast editorial!

I had used StringBuilders for the problem C. Here is my submission https://codeforces.com/contest/1328/submission/74463191 Can any java coder tell me why did it give a TLE?

Use PrintWriter for fast output. System.out.println() is too slow for large output. My submission: 74442693

this is my solution 74533033 to problem C in yesterday's contest. i dont understand what's wrong with it. it seems to work fine. can anyone help?

I have fixed your solution: 74544016. You need only to resize your strings such as x, a and b.

thanks:)

vaaven I generally take whole string as input at once and not by each character. So I have a doubt that while taking character wise input(cin>>s[i]), why resizing the string to n, was not needed for smaller inputs(n~5) as in test cases 1 and 2. Runtime error came in test case 3 for n=250.

Even I have the same doubt

you should take input "string x" outside the for loop I guess, and then access each letter of x by x[i]. It will work.

Can anyone explain the concept behind Problem 'F' in Editorials or any simpler version that you know, I looks Easy But hard to connect logics?

For problem F, I sorted the array and used the difference between consecutive elements and the number of moves required to make all the numbers before a particular number to make all of them equal to that number. I did this for both prefix and suffix part and only counted the required number of moves. 74541622

how do you sure that you have " at least k equal elements in the array." in each step?

for initialization part i took first k elements that means that first k-1 elements are converted to the the kth element and subtracted the answer with the number of occurrences of the kth element. i also did the same thing for the kth element from the last.

Why you subtracted the number of occurrences of kth element?

Suppose

k = 5,

Ar = 2 4 5 6 6 6 7 8

m[6] = 3

dp[0] = 0 cost for all element to become 2

dp[1] = (4-2 * 1) + 0 = 2 cost for all element to become 4

dp[2] = (5-4 * 2) + 2 = 4 cost for all element to become 5

dp[3] = (6-5 * 3) + 4 = 7 cost for all element to become 6

dp[4] = (6-6 * 4) + 7 = 7 cost for all element to become 6

Now m[6] = 3-2 = 1

our answer is dp[4] — m[6] = 7 — (1) = 6

How answer is 6 ?

Keep in mind that we already have three 6's so we need not to convert 5 -> 6

Final answer = 6 , 6, 5, 6, 6, 6, 7, 8

Total cost = 6-2, 6-4, 5, 6, 6, 6, 7, 8

We only need to convert those which are required so if our Kth element is x and we are suxh more x already present ? we can use that too.

Similarly

k = 4

for ar = 1,1,1,2,3,3

3,3,2,2,3,3

answer = 5

We can do this for both sides and select the minimum one

Right. That's what i had in mind for this solution

Please explain what exactly is happening in the B problem?how are we knowing the position of b by decreasing by n — i — 1?

Can someone please help me figure out why am I getting timeout even if my complexity is O(N + sum(K)) for problem E? Here's a link to my solution. https://pastebin.com/y9Fx5day. Thanks in advance!!

Maxi can be equal n in worst case. So your solution is O(n^2)

Ohhh... Thanks a lot!!

can somebody please explain how the scoring works in codeforces? start off by explaining what's does it mean by +,+1,+2.

Number of attempts

Anyone who has done

D using DP? Please share your solutionI know that my code is not the most beautiful code :D, I would like if the tutorial had a DP solution for this problem.

my code

Here is my dp solution for proble D https://codeforces.com/contest/1328/submission/74586478

Hi Thanks for the perfect solution i was looking for. Thanks alot :)

This was my solution for B.

Solution- 74469154

i used the concept of "Sum of first n terms" So if the string size is n then the the total lexicographical strings produced will be sum of first n-1 terms.

for ex- n=5 so total number of lexicographical strings produced will be sum of first 4 numbers 1+2+3+4=10

(The concept is For every movement of leftmost b , Following will be the movement of rightmost b till the its position one more than the position of the leftmost b.

)

Complexity — O(n)

Me too

My simple Implementation for problem BMy Submission

Nice code!! SPyofgame

Hello and thanks for contest. I was EXPERT before the contest DIV3 but my rate change -20, WHY? Thanks again.

Similarly I've seen an EXPERT coder get his rating increase for about 20 in the last div.3 round.Maybe it is a bug?

probably because you had registered yourself for this contest before rating change of last round (when you were<1600)

It says time limit exceeded but is the logic correct?

void solve()

{ int n, k;

}

Yes, logic is correct but it works very slow because you have O(k) where k can be equel 1e9.

Can anyone tell me what's the reason of getting TLE for the following solution of problem E? https://codeforces.com/contest/1328/submission/74550098

Max depth can be n. So you will make n iterations to check only 1 node. Your solution work in O(nm)

got it. thank you.

Because you iterate over the whole longest path every query, so the complexity may be

instead ofO(mn)O($$$\sum\limits_{k = 1}^mk_i$$$)The testcase may be a linear chain tree with every query contains a far node from the root

got it. thank you!

Problem : E My submission : 74555362 Verdict: WA on TC 56 Can anyone tell what is the mistake? I cant figure it out. Used the same method as told in Editorial. My code is very short. Thanks a lot :)

I fixed your solution:74558555

I just add this:

and edit this:

Anyone who has done

D using DP? Please share your solutionC) Why if x[i]=2 or x[i]=0, then a[i]=b[i]=1 or a[i]=b[i]=0 relatively? Who can explain it? Please.

because max(1, 1) < max(2, 0) when x[i]=2 and max(0, 0) < max(1, 2) when x[i]=0

Can someone please explain this part Of problem E

It lies on this path if the root is the parent of u (it is always true) and u is the parent of fv. This approach can be used for each vertical path (such a path from x to y that lca(x,y) is either x or y).

And this code of problem E

int u = v[0]; for (auto it : v) if (d[u] < d[it]) u = it; for (auto &it : v) { if (it == u) continue; if (p[it] != -1) it = p[it]; } bool ok = true; for (auto it : v) ok &= isAnc(it, u);

Help needed in E: My approach-: Check if there is path from root containing all the parents. Sort all the parents of given nodes according to their height. Then find lca of every adjacent pair, suppose x and y are adjacent , then if lca(x,y)==x then path exists else not. I am getting runtime error in test case 100. Can anyone help me out in this?

My submission 74567267

****_Problem B_ Can someone tell me the logic behind k<n-i-1 and k-=n-i-1; why k and what we get from k in every time in loop

I used rint(sqrt(k * 2)) to solve B. What do you think?

somebody plz explain B...

I also didn't know it before, got the solution by generating few cases while contest.Generate 6/7 cases and you will find the pattern.

n= 5;k= 5; "aBaba"xso thatk <= (x)(x+1)/2;B,pos1 = (n — x)th index from left side.Keep=(x)(x+1)/2 — k;b,pos2 = (pos1 + keep + 1)th index from the left side.pos1andpos2all positions will bea.Editorial solution for E is nice, but there is a solution that requires much less thinking. Handle the queries offline, and then you simply need to do a dfs from the root and add all the neighbors you pass on the way down to your current set (to add to your current set, just mark them as visited in all the queries that contain this vertex. if a query has everything marked as visited, then it is good) and remove the neighbors on your way back up. This way you can just check all the paths in O(n+m) time (fairly high constant but still runs < 1s).

74575633

can you plz elaborate how you use add and remove in your code

He has made a vector of vectors qs where each entry(qs[i]) is a vector which stores queries in which i-th vertex has been mentioned.

Then in add function, for a vertex v, all the queries are traversed in which v-th vertex was mentioned and another vector qc is being increased for those queries (++qc[query];). When value of qc for a particular query reaches number of vertices in that query(denoted by qn[query]), it means that all the vertices in that query are neighbours of some path from root to some vertex. This count of vertices which are neighbours, was kept by qc[query].

Now remove fn is easy to understand as it is basically removing the neighbours count.

Yes, amangupta's description is correct. Just to clarify a bit more on the specific variables:

qn[i] — the total number of vertices in query i (qn = query number)

qc[i] — the number of vertices in query i that have been currently marked (qc = query current)

qg[i] — 1 if query i is achievable, 0 otherwise (qg = query good)

qs[i] — a list of queries that vertex i appears in (qs = queries)

My simple Implementation for problem BMy Submission

Thanks MikeMirzayanov and vovuh for awesome editorial specially problem E.

vovuh MikeMirzayanov how can we prove this fact for problem F.

** The second observation is that we first need to take elements from one end (only less or only greater) and only then from the other (if needed).**

why it will give correct answer and why we can't expand from both side. say if we need x, and we take y from begining first then we will take x-y from end. similarily for the same index, if we take a from beginning , we again take x — a from right.

in q3 , in the else statement how did the statement

a[i] = b[i] = '0' + (x[i] — '0') / 2;

work?

please explain

When x[i] = '2', then x[i]-'0' will give 2 and this divided by 2 will give 1 and this added with '0' will give '1'. So a[i]='1' and b[i]='1', as required. When x[i] = '0', then x[i]-'0' will give 0 and this divided by 2 will give 0 and this added with '0' will give '0'. So a[i]='0' and b[i]='0', again as required.

I feel like C was too easy :/

I am not getting approach of problem F. Can anyone explain it?Thanks in advance:)

CAN ANYONE EXPLAIN THE ERROR I HAVE REPLACED V[] WITH THEIR PARENT // TO OVERCOME THE DISTANCE FACTOR OF 1 I HAVE SORTED THE V[] ACCORDING TO THE LEVELS THEN CHECKED EVERY CONSECUTIVE WHETHER THEY LIE IN SAME PATH OR NOT

## include<bits/stdc++.h>

using namespace std;

## define ll int

## define pb push_back

## define fi first

## define se second

## define mp make_pair

ll in[200007],out[200007]; vector adj[200007]; ll level[200007]; ll par[200007]; ll k=0; ll k2; ll timer=0; int flag; pair<ll,ll> p[200007]; ll v[200007]; void dfs(ll u,ll lv) { level[u]=lv; ++timer; in[u]=timer; for(int i=0;i<adj[u].size();i++) { par[adj[u][i]]=u; dfs(adj[u][i],lv+1); } ++timer; out[u]=timer; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); ll n,m; cin>>n>>m; level[0]=0; in[0]=INT_MIN; out[0]=INT_MAX; for(int i=0;i<n-1;i++) { ll x,y; cin>>x>>y; adj[x].pb(y); } dfs(1,1); par[1]=0; for(int idx=0;idx<m;idx++) {

}

Sharing your code via one of the text storage sites like pastebin or ubuntu paste might significantly increase your odds of getting a help

Or simply include the submission id like 74594978

This gives you TLE, wich means your solution runs out of time, hence is to slow. I think for every query you recreate the whole path from root to deepest node. This makes it basically $$$O(n^2)$$$ wich is to much for very deep trees.

For Problem F i didnt understood what is needl=min(need,prefcntprv) i:e prefcntprv

hello i submitted a solution for kth beautiful string problem.i got runtime error for that during the contest.but today i submitted that same file from my pc without any edit and it got accepted.where can i complain regarding this? this is my first contest on codeforces.please help.

I think it is not the same code, you changed the types of your integers. Most likely the runtime error was caused by overflow.

Aside from that, would be useful for such question to include the both submission ids.

i didnot change anything bro...i just submitted the file that was there in my pc.without even opening it in the editor.and it got accepted this time

Your submission history does not look like that.

ok let it be

You're welcome.

Hi @vovuh, I have a question regarding 1328F and sorry if disturbing you.

I think I may have triggered some wired behavior of Java 11, with which Arrays.sort(int[]) becomes extremely slow. From my attempted submission https://codeforces.com/contest/1328/submission/74614186, you will see that it's TLE with Arrays.sort(a) at the top part of the solve(n,k,a). If I switched from Arrays.sort(a) to use an ArrayList of tmpA to sort and assign back to a, which becomes submission https://codeforces.com/contest/1328/submission/74613801, it's accepted.

I tried to reproduce this on my local machine by randomly generating 200000 numbers between 100000 and 200000 and failed, it's super fast with Arrays.sort(int[]). This may due my usage of openjdk 11, which differs from that used by codeforces, or due the data itself.

Could I have the 3rd testcase so I can verify it on my local machine?

Quick sort is known to have $$$O(n^2)$$$ in worst case.

see some link

Yeah I know that basic info.

But:

But you made your point, and I already suspect that this specific testcase may be one of the rare bad case for this implementation. That's why I need this case to experiment on my local machine. And if it is I may report this to jdk team as a bug.

Anyway, thanks for the reply.

Hi, MikeMirzayanov and vovuh, I did further experiment on this issue.

As in submission https://codeforces.com/contest/1328/submission/74698017, I deliberately force the 3rd test case to use ArrayList.sort(...) and let rest of the test cases use Arrays.sort(int[]), everything goes well and it's accepted. This makes me more confident that the 3rd test case happens to be one of the rare bad case for DualPivotQuicksort in Java 11's standard library, which actually has been there since Java 7.

It would be great if I can have the 3rd test case and confirm it on my local machine. Anyway I can have it?

Link to the generator.

So you deliberately made such a case, haha :P

Good to know.

Could anyone tell me what's wrong with string

`c_str`

in GNU C++?My two submissions of problem C:

https://codeforces.com/contest/1328/submission/74623565

https://codeforces.com/contest/1328/submission/74623526

They're exactly the same code with only difference is the lang(one is GNU C++17, the other is Clang++17 Diagnostics). I get WA with GNUC++, but passed with Clang++. Why did this happen?

And I get AC using cout to print

`string`

with GNU C++:https://codeforces.com/contest/1328/submission/74623915

That's weird... at least to me...

74633006 TLE on tc 58 can someone help me

This loop could reach O(n) so your solution has a worst complexity of O(n*m)

Thanks

where are the ratings of this contest?? My rating was incresed by 57 but it is not showing now.

Don't worry it will be back soon

i need help in problem E. I'm getting wrong answer in test 43 and i don't know the reason why here is my code: https://codeforces.com/contest/1328/submission/74652500 my answer is 253243 but expected answer is 253245

if you know the problem can you tell me.

finally i found it after few hours! if you are having same problem as me you have to check this test my previvious solution was giving me answer 10 but answer is 11 test: 5 4 1 3 5 7 9 good luck!

hey, thanks! it helped me a lot <3

no problem good luck!

the same thing is happening to me :'v

Hello, this is my first message on Codeforces, so apologies if it violates any community guideline. I am getting wrong answer on test case 2 for Problem D. My submission id is 74659654. I have looked at it a lot but I am unable to find the problem. Can someone please help me. Thanks in advance. Happy coding !

drag you submission page to the buttom, there's checker comment to show which case you didn't pass.

Thank you !

In problem E i am getting runtime error on test 100. I am not able to find the mistake in my code. Can someone help me out with error. link to my code:-74663766

In question E why we are choosing depeest node among the tree please explain

You can Simply refer my approach if you want Solution linkSolution

Could someone help me with C? I keep getting a runtime error and I don't know what's causing it. Here's my submission:

https://codeforces.com/contest/1328/submission/74690659

Can anyone explain how we are forming the equations k<=n-i-1 and n-i-1 in B(kth beautiful string)??

I know my approach should result in TLE, but I am getting wrong answer in Problem E. Could someone please help. 74696152

My Fair simple approach for E Prerequisites:-LCA of Two nodes in log(N) time in a tree. Step1:- Running dfs traversal on tree and noting down level of each node in the tree and also the parent of each node in the tree and also obtaining the sequence of dfs traversal with which you can get LCA of two nodes tutorial link:LCA Finding tutorial

Step2:-Now for each query we have to answer in YES or NO .So what I did is for each node in a particular query find parent of that node and if node is 1 skip it simply. Store two things for a node particularly its parent number and its level . Sort the obtained vector accorsing to level of parents of all nodes in decreasing order.

Step 3:-Start from top and find lca of top 2 nodes and then with this obtained lca find lca of nodes successively coming and check if obtained lca value is similar to coming value and if it is then move forward till end and else break and print NO otherwise print "YES".

Solution link Implementation

Could you explain why did you skip the node if its parent is 1.

Because when parent is 1 after that LCA of every node is gonna 1 as 1 is root and also as we started in bottom up fashion

Could you please check what is wrong with this piece of code. I'm creating a dummy root, I expected the code to get TLE, but it's giving wrong answer. Thanks in advance. 74696152

Hello __Apocalypse__.

`@Line 48`

:`g[x].push_back(y);`

You forgot add this

`g[y].push_back(x);`

.I added it here: 75222286 and now it gets a

`TLE`

instead of a`WA`

.Hope this helps. :)

My submission Can u tell why this giving tle. I have sorted the vertices which are input in m queries according to the height of the tree given by 'dp[i]',which is the only thing different from the solution ,so my complexity is mlog(m),but still tle

Hi Chodermal1.

`@Line 6`

:Here, you're passing

`ma`

by value although it is not being modified there. Hence, it is taking more time to copy the data.I changed it to:

Notice the

`&`

used to pass`ma`

by reference to prevent copying of the data and it gets an`AC`

here.Hope this helps. :)

Thanks bro new thing for me :)

I dont know whats wrong with the code,It passed all the testcases and verified the logic.It seems to give an error as unintialised value at line 56 due to which i am getting an wa.Please help!!!!

here is my soln: https://codeforces.com/contest/1328/submission/74730546

Initailise your array before using it..

Can anyone explain why this answer for test case in D(Carousel) is wrong?

Input4 5 1 2 1 2 2 6 1 2 2 1 2 2 5 1 2 1 2 3 3 10 10 10

my output2 1 2 1 2 1 2 1 2 1 2 1 2 3 1 2 1 2 3 1 1 1 1Jury's output2 2 1 2 1 1 2 1 2 1 2 1 2 3 1 2 1 2 3 1 1 1 1Input:

Your output:

These are the same but not in the input. Assume that after the $$$n$$$-th figure the figure $$$1$$$ goes.

Thanks

In problem F (1328F - Make k Equal — Make k Equal), Can someone please explain why the answer to the following custom test case is 29 and not 21?

12 8

1 3 3 6 6 6 11 11 11 11 11 11

Answer as per given Editorial Code = 29. Possible answer = ( 1*(6-1) + 2*(6-3) + 2*(11-6) = 21 ). {by making all 8 elements equal to '11'}

After making all the elements 6, you can't directly increase two elements to 11, because once you increase it by 1, it becomes 7 and is no longer the smallest element in the array....

My bad! Thanks a lot for pointing out!

Why in the solution of ternary xor we are adding '0'+(x[i]-'0')/2 is it to convert it in to string so that the number is in the string format

I submitted the same source code to problem C twice, the first time it failed, and the second time it is accepted. Has anyone got similar problem before?

can anyone help me find what i am doing wrong in this code of problem E

75035885

I have solved "Problem E" using the Lowest Common Ancestor Concept. Straight forward lowest common ancestor logic.

My submission Can u tell why this giving tle. I have sorted the vertices which are input in m queries according to the height of the tree given by 'dp[i]',which is the only thing different from the solution ,so my complexity is mlog(m),but still tle

In problem D. why if n is even coloring always can be done like [1,2,1,2,..2] For n = 6 , 1 2 2 1 2 3 should give 3 , 1 2 2 1 2 3 instead of 2 , 1 2 1 2 1 2

u can have different colours for same number. So when n is even just alternatively put 1 and 2 so each adjacent position will have different colours regardless of the fact that they are same or different

//TRee queries solution //BISMILLAH

## include <bits/stdc++.h>

using namespace std;

## define sz 2*100009

map < int, int> dd; map < int,int> ff; map <int , int > cost; vector adj[sz]; int vis[sz]; int T = 0; int par[sz]; void dfs( int source){ int i,j; int len; vis[source] = 1; dd[source] = T++; len = adj[source].size(); for(i = 0;i<len;i++){ if(!vis[adj[source][i]]){ par[adj[source][i]] = source; cost[adj[source][i]] = cost[source] + 1; dfs(adj[source][i]); } } ff[source] = T++; return; } int main(){ int len; int n,q,m,i,j; int u,v; int temp,maxx = -1; int y,w; int b,c; int flag = 0; int k; int res; cin >> n >> q; m = n-1; for(i = 1;i<=m;i++){ cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } par[1] = -1; dfs(1); while(q--){ flag = 0; res = 0; cin >> k; int a[k]; for(i = 0;i<k;i++){ cin >> a[i]; a[i] = par[a[i]]; if(a[i] == -1) continue; else if(a[i] == 1) continue; else if(a[i] != 1 && flag == 0){ u = a[i]; flag = 1; } else if(a[i] != 1 && flag == 1){ if(cost[a[i]]>cost[u]){ v = u; u = a[i]; } else v = a[i]; if(ff[u]<dd[v] || ff[v]<dd[u]) res = 1; } } if(res) cout << "NO" << endl; else cout << "YES" << endl; } return 0; }

A doubt please on C part although i got accepted in python in test case 5 in C language i was getting Wrong output format Unexpected end of file — token expected....... my approach was correct........as with same logic python code was accepted........1328C][YOUR TEXT TO LINK HERE... - Ternary XOR(https://codeforces.com/contest/1328/submission/75352334)

Can anybody please explain the reason for doing this

Let's take every non-root vertex (except fv) and replace it with its parent.Thankscan someone help me with the code when i was running it it was fine as hell but in codeforces it's showing a runtime error please help me with it.... This is the division 3 5th Question's Answer:

## Code Made By Rap_coder in python 3

75464011

Where could I find more information about the Technique used for E, such as proofs or different applications?

can anybody tell what is wrong in my code for problem D https://codeforces.com/contest/1328/submission/75753056

test

awesome contest...!!

my solution for 1328C is written below but i get runtime error on test case 3. Could anyone please help me with it? Thanks in advance.

## include <bits/stdc++.h>

using namespace std; int main() {

int t; cin>>t; while(t--) { int n,temp; cin>>temp; cin>>n; vector vec; long long int vec1=1; long long int vec2=1;

}

This is regarding prob C of this contest. What is wrong with this piece of code?

## include

## include

## include <bits/stdc++.h>

## define ll long long

using namespace std;

int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int t; cin>>t; int n; int x; string f; while(t--) { cin>>n; cin>>x; // cout<<n<<"\n"<<x<<"\n"; string f; f=to_string(x); int c=0; string a="1"; string b="1"; for(int i=1;i<n;i++) { if(f[i]=='1') c++;

}

Can anyone help me why I am getting wrong answer for the question D. Carousel. Here is my code https://codeforces.com/contest/1328/submission/77173034

can anyone tell me which algorithm is used in B problem

In problem E,why are we not updating the deepest node to its parent while the rest of the nodes are updated to its parent?

`Now we have a beautiful structure giving us so much information about the tree`

Mike got emotional here xD.

found a solution for problem B that's a bit easier to understand and also runs in O(N) time: here instead of combinatorics, it uses quadratics. should be easier to understand the problem

solution of E is hott!!

On E editorial.

"Let's take every non-root vertex (except fv) and replace it with its parent."

I think that you mean: "Let's take the k vertices vi (except if vi is fv, and except if vi is the root) and replace it with its parent.".

My code appears to work up till test case 100 for problem E. I've spent a while looking at my code to debug it but I haven't been able to identify the issue. If anyone has any idea, I would appreciate suggestions. My Submission