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 x, y, n;
cin >> x >> y >> n;
if (n - n % x + y <= n) {
cout << n - n % x + y << endl;
} else {
cout << n - n % x - (x - y) << endl;
}
}
return 0;
}
```

1374B - Multiply by 2, divide by 6

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;
cin >> n;
int cnt2 = 0, cnt3 = 0;
while (n % 2 == 0) {
n /= 2;
++cnt2;
}
while (n % 3 == 0) {
n /= 3;
++cnt3;
}
if (n == 1 && cnt2 <= cnt3) {
cout << 2 * cnt3 - cnt2 << endl;
} else {
cout << -1 << endl;
}
}
return 0;
}
```

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 n;
string s;
cin >> n >> s;
int ans = 0;
int bal = 0;
for (int i = 0; i < n; ++i) {
if (s[i] == '(') ++bal;
else {
--bal;
if (bal < 0) {
bal = 0;
++ans;
}
}
}
cout << ans << endl;
}
return 0;
}
```

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, k;
cin >> n >> k;
vector<int> a(n);
for (auto &it : a) cin >> it;
map<int, int> cnt;
int mx = 0;
for (auto &it : a) {
if (it % k == 0) continue;
++cnt[k - it % k];
mx = max(mx, cnt[k - it % k]);
}
long long ans = 0;
for (auto [key, value] : cnt) {
if (value == mx) {
ans = k * 1ll * (value - 1) + key + 1;
}
}
cout << ans << endl;
}
return 0;
}
```

1374E1 - Reading Books (easy version)

Idea: MikeMirzayanov

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
const int INF = 2e9 + 1;
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int n, k;
cin >> n >> k;
vector<int> times[4];
vector<int> sums[4];
for (int i = 0; i < n; ++i) {
int t, a, b;
cin >> t >> a >> b;
times[a * 2 + b].push_back(t);
}
for (int i = 0; i < 4; ++i) {
sort(times[i].begin(), times[i].end());
sums[i].push_back(0);
for (auto it : times[i]) {
sums[i].push_back(sums[i].back() + it);
}
}
int ans = INF;
for (int cnt = 0; cnt < min(k + 1, int(sums[3].size())); ++cnt) {
if (k - cnt < int(sums[1].size()) && k - cnt < int(sums[2].size())) {
ans = min(ans, sums[3][cnt] + sums[1][k - cnt] + sums[2][k - cnt]);
}
}
if (ans == INF) ans = -1;
cout << ans << endl;
return 0;
}
```

1374E2 - Reading Books (hard version)

Idea: MikeMirzayanov

**Tutorial**

Tutorial is loading...

**Solution**

```
#include <bits/stdc++.h>
using namespace std;
const int INF = 2e9 + 1;
#define size(a) int((a).size())
void updateSt(set<pair<int, int>> &st, set<pair<int, int>> &fr, int &sum, int need) {
need = max(need, 0);
while (true) {
bool useful = false;
while (size(st) > need) {
sum -= st.rbegin()->first;
fr.insert(*st.rbegin());
st.erase(prev(st.end()));
useful = true;
}
while (size(st) < need && size(fr) > 0) {
sum += fr.begin()->first;
st.insert(*fr.begin());
fr.erase(fr.begin());
useful = true;
}
while (!st.empty() && !fr.empty() && fr.begin()->first < st.rbegin()->first) {
sum -= st.rbegin()->first;
sum += fr.begin()->first;
fr.insert(*st.rbegin());
st.erase(prev(st.end()));
st.insert(*fr.begin());
fr.erase(fr.begin());
useful = true;
}
if (!useful) break;
}
}
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int n, m, k;
cin >> n >> m >> k;
vector<pair<int, int>> times[4];
vector<int> sums[4];
for (int i = 0; i < n; ++i) {
int t, a, b;
cin >> t >> a >> b;
times[a * 2 + b].push_back({t, i});
}
for (int i = 0; i < 4; ++i) {
sort(times[i].begin(), times[i].end());
sums[i].push_back(0);
for (auto it : times[i]) {
sums[i].push_back(sums[i].back() + it.first);
}
}
int ans = INF;
int pos = INF;
set<pair<int, int>> st;
set<pair<int, int>> fr;
int sum = 0;
vector<int> res;
for (int iter = 0; iter < 2; ++iter) {
st.clear();
fr.clear();
sum = 0;
int start = 0;
while (k - start >= size(sums[1]) || k - start >= size(sums[2]) || m - start - (k - start) * 2 < 0) {
++start;
}
if (start >= size(sums[3])) {
cout << -1 << endl;
return 0;
}
int need = m - start - (k - start) * 2;
for (int i = 0; i < 3; ++i) {
for (int p = size(times[i]) - 1; p >= (i == 0 ? 0 : k - start); --p) {
fr.insert(times[i][p]);
}
}
updateSt(st, fr, sum, need);
for (int cnt = start; cnt < (iter == 0 ? size(sums[3]) : pos); ++cnt) {
if (k - cnt >= 0) {
if (cnt + (k - cnt) * 2 + size(st) == m) {
if (ans > sums[3][cnt] + sums[1][k - cnt] + sums[2][k - cnt] + sum) {
ans = sums[3][cnt] + sums[1][k - cnt] + sums[2][k - cnt] + sum;
pos = cnt + 1;
}
}
} else {
if (cnt + size(st) == m) {
if (ans > sums[3][cnt] + sum) {
ans = sums[3][cnt] + sum;
pos = cnt + 1;
}
}
}
if (iter == 1 && cnt + 1 == pos) break;
need -= 1;
if (k - cnt > 0) {
need += 2;
fr.insert(times[1][k - cnt - 1]);
fr.insert(times[2][k - cnt - 1]);
}
updateSt(st, fr, sum, need);
}
if (iter == 1) {
for (int i = 0; i + 1 < pos; ++i) res.push_back(times[3][i].second);
for (int i = 0; i <= k - pos; ++i) {
res.push_back(times[1][i].second);
res.push_back(times[2][i].second);
}
for (auto [value, position] : st) res.push_back(position);
}
}
cout << ans << endl;
for (auto it : res) cout << it + 1 << " ";
cout << endl;
return 0;
}
```

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
auto make = [](vector<int> &a, int pos) {
swap(a[pos + 1], a[pos + 2]);
swap(a[pos], a[pos + 1]);
};
int t;
cin >> t;
while (t--) {
int n;
cin >> n;
vector<int> a(n);
vector<pair<int, int>> res(n);
for (int i = 0; i < n; ++i) {
cin >> a[i];
res[i] = { a[i], i };
}
sort(res.begin(), res.end());
for (int i = 0; i < n; ++i) {
a[res[i].second] = i;
}
int cnt = 0;
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j < n; ++j) {
cnt += a[j] < a[i];
}
}
if (cnt & 1) {
for (int i = 0; i < n - 1; ++i) {
if (res[i].first == res[i + 1].first) {
swap(a[res[i].second], a[res[i + 1].second]);
break;
}
}
}
vector<int> ans;
for (int i = 0; i < n - 2; ++i) {
int pos = min_element(a.begin() + i, a.end()) - a.begin();
while (pos > i + 1) {
make(a, pos - 2);
ans.push_back(pos - 2);
pos -= 2;
}
if (pos != i) {
make(a, i);
make(a, i);
ans.push_back(i);
ans.push_back(i);
pos = i;
}
}
for (int i = 0; i < 3; ++i) {
if (is_sorted(a.begin(), a.end())) {
break;
}
make(a, n - 3);
ans.push_back(n - 3);
}
if (!is_sorted(a.begin(), a.end())) {
cout << -1 << endl;
} else {
cout << ans.size() << endl;
for (auto it : ans) cout << it + 1 << " ";
cout << endl;
}
}
return 0;
}
```

Please Someone Explain Why i am Getting

TLEin Test case#5 of QuestionDMy Submission is : 85376735

You didn't take into account the case when till the end a[i]==a[j] then first condition is overlooked and cnt is increased and i is incremented and this keeps going on. Then it becomes O(n^2). Also you have to use long long to prevent overflow. I made minor changes to your code, and it got accepted. Link

Thanks...

when you find a collection of identical numbers in the sorted array -> instead of (iterating over the remaining numbers in the collection for each of those Identical numbers in the collection) i.e time complexity of O(n^2) you can do smart work and do in a single iteration

Use map stl instead of an array...I was also having the same problem...array index out of bound is the error..

why do you need a logarithmic data structure (ie map) for D?

The code length will be minimised..and u can store keys:values pair in sorted order..we can easily modify the map..if didn't get it post again

For problem D-Zero Remainder Array, why does my code get a TLE on test 8 despite using a similar approach? My code: https://codeforces.com/contest/1374/submission/85382181

Use map instead of unordered map. Unordered map worst time complexity is O(N).Even I got penalty :(

Please tell me how you come up with an approach to solve the first question.

I just found the nearest factor of x which is less than or equal to n. I'll add y to it and see if it's greater than n. If it's greater than n then I'll subtract x from it

Even my first submission was with an unordered_map :(. Got penalty.

why do you need a map in particular for D?

Or, you can use a custom hash function.

This is a really good blog post on the topic.

Finally Editorial Published. Thanks vovuh and team.

After Long Time

Please organize another div3 round. This was a div3 round after a long time. Newbies like me need div3 rounds continuously.

Agreed. This one was great round! We need more!

I also enjoyed this round. Please more div3 rounds on weekends!

I don't know why, But I get better results in Div2 rounds. The reason could be that I'm to slow when I'm coding

If you think you need speed then you should do atcoder beginner. By doing that you will gain speed and even fast debugging.

Thanks

The comment is hidden because of too negative feedback, click here to view it (hahahhaah gottt you)

D question was really a cancer. vovuh thanks a lot for amazing contest E hard is interesing

Am I the only one who think that this was the best round ever ?!

you reached specialist that's why :)) well done

Yeah!

I want more contests made by vovuh

<3Can E1 be done using DP?

wow newbies know dp greatttt

Bad idea..

i am just happy

what do you mean?I knew it when I was unrated.

ohhhhhh that is eeven great broooo

i don't think so. i don't have any idea about dp. this type of problems always solving with greedy approach

https://codeforces.com/contest/1374/submission/85385019 Solution for B

WHY ARE YOU PEOPLE DOWNVOTING ??????

TELL ME IS THERE ANY PROBLEM WITH THIS CODE

how can you simply downvote an AC CODE****????After solved a easy problem no need to comment here that's hide the important comment.

PThakur_16 The thing that one's code is accepted does not matters . One Uploads some code which has new idea or any new approach and has great time complexity. But your code has neither unique concept nor is efficient . Yours code time complexity is very poor . So don't post your code just to recieve UPVOTE . If you have some new concepts or some new idea then only post.

Ahsant. problem E2 is really nice (and hard). But the proof is not clear to me. I mean the analysis of number of times the operation is done.

Upd: Yeah got it now. The editorial was also clean. Well that's why I always take part in Div3s.

I solved E2 by applying ternary search on number of common books, but i don't have any proof that it is unimodal. Can someone explain me how it is unimodal or my solution is hackable?

Can anyone explain other solutions of E2, as I saw many solution using bit tree ,treaps, ternary search.

Gr8 set of questions.....All of them seem doable.... although problem E(s) was a bit heavy on maintenance side....

Could someone please help me with the problem E1 easy version. I implemented the idea which is iterating over the books of the three vectors and finding the cheapest price, but it always gives a wrong answer on test case 13.My answer is cheaper than the actual answer given by the system. Thanks in advance

This is my submission to the problem

your problem is in line 258, you should make ctr1 = i + 1 not ctr1 = i because you want to test the next two books you can get not books you've already took fix it and you will get AC

@ETheHedgehog Thanks a lot and sorry for the late reply.

https://codeforces.com/contest/1374/submission/87384946

look at this approach it is different from tutorial and easy

Hi, Can you explain the else part of your code in which you insert(a[I]+b[I]) in C How does that work?

Thanks Man V-smart GG .

For Problem D: Find the

for each element inai % ka. Then find the one with thehighest frequency(mode).Let

xbe the number with highest frequency andfbe the number of times it occurred .If the new formed array (with

ai % k) isempty or full of zerosthe answer will be0. Else the answer will be.x + (k * (f — 1)) + 1Solution Python3 -- > 85419324

I did not get the + 1 part as to why the ans = ( ) + 1. Once you reach k times some number, you need key number of steps to reach key. why k *() + key + 1?

The +1 is because the first number used is 0, not 1. So we need one step more than the highest number we need to use.

k*(value-1) + keyis such a value of x which makes`ai+x`

divisible by kk*(value-1) + keycomes as a cost of operation 2+1comes as a cost of operation 1In problem B, I have another simple solution

Spoiler Alertwhile ($$$n$$$ % 6 == 0), we (divide $$$n$$$ by 6) and increase the counter once

while ($$$n$$$ % 3 == 0), we (divide $$$n$$$ by 3) = (multiple $$$n$$$ by 2 then divide $$$n$$$ by 6) and increase the counter twice

if after removing (6-divisors) and (3-divisors) from $$$n$$$ and (

Unable to parse markup [type=CF_MATHJAX]

have another divisors and we cant remove it with those buttons we have (*3, /6). So the answer is nootherwise the answer is the counter

SolutionIt is the same thing, you have counted the no. of 2's and 3's in the factorisation of the number in the first loop. Then the remaining 3's in the second loop and no. should be reduced to 1 for answer to exist.

In E1 we can sort all books and pick books greedily. We need to keep track of number books liked by Alice and Bob, and a stack that stores books that are liked by single person only. Code

For video explanation watch https://youtu.be/9pr8sY9hfkE

Can somebody pls find the error in my code for E2 https://codeforces.com/contest/1374/submission/85464212. My procedure: Fist solve the problem like E1 and find out the number of items.If it is greater than M then erase 10 and 01 items and add 11 items.If it is less than M then we can add one 01,00,11,10 or we can remove one 11 item and add 01 and 10 items.

Are you keeping in mind about having k books when deleting?. I think when after doing E1 we have say x books. If x<m then add books greedily from remaining books. If x>m then we have to delete two books (one liked by alice and one liked by bob) and add one book that both of them like

Yes the condition of k is always satisfied and we cant add greedily always maybe we can remove a book both of them likes and add 10 and 01 books

When x<m, why can't we add books of least price from remaining books?. After E1, condition of having k books for both is fulfilled with min price. Now, we need total m books. So, can't we just add books of min price from remaining books?

No,

Won't work on this.

In problem B, My solution:

problem E1..wrong ans test case 5...i can't find wrong my code...please help me to finding wrong or give me some small test http://codeforces.com/contest/1374/submission/85463861

You can put same in spoiler or provide link. Page becomes weird in this way. Their is an option to provide link when you post comment.

Oh. you have already provided link , so what was need of pasting whole code

i pasted code for more attraction...edited

This is a trash way of presenting code.

edited

Can someone tell me why I got TLE for the D. I used unordered_map. My submission link 85385662

Change unordered map to ordered map.

Codeforces Round #653 (Div. 3) D. Zero Remainder Array

In this Problem , if we consider a input — 1 2 5 4 4

then as per the solution provided,the output is 7 but if we conside like —

1 .when x = 1 , we will server one of the 4 (4+1=5 and 5%5=0) then x will become 2 2. when x = 2 , we will add it to the remaining 4 and it will become 6 and x will become 3 3. At this step , x is incremented and becomes 4 4. Now if we add 4 to the 6 , it will become 10 and 10%5==0 and then x becomes 5

So the answer should be 5 . . Is it ? ? ?

It was given that you can't apply first operation to same indexed element more than once. You have performed first operation of adding+incrementing x twice on second element

No. You can add x for the number in array only one time. You cant do 4 + 2 + 4.

No, because this line was mentioned in the question. You cant do more than one operation on the same element "The first operation can be applied no more than once to each i from 1 to n."

My Video solution for the contest

Problem A,Problem B, Problem C The video is time stamped for your convenience (check the description).

Problem D

Problem E

Can someone please help me, why my submission of problem A is getting TLE if I'm using a single while loop for a test case.

My submission: https://codeforces.com/contest/1374/submission/85356771

Thank you!

1000000000 1 99999999

consider this test case provided many times. Your single loop will run 99999998 times in each test case, which will definitely cause TLE

Okay, thanks

Can someone please tell me what is wrong with this greedy approach for E2 :

SpoilerLet's sort the books in 4 types : Type 1 : Books that only Bob likes. Type 2 : Books that only Alice likes. Type 3 : Books that both of them like. Type 4 : Books that none of them like.

Pick book based on which value is smaller of (t1+t2) or t3. If we had already picked up "allowed" amount of books of type 1, we would have to pick up book of type 3. Now this picking process continues till we had already picked up at least k books of liking for Alice and Bob.

This approach fetched me a WA on test 12. I looked in the status and a lot of people got the same result on same test case. Can someone pls help. Thanks in advance

Consider the test case below — your method would choose book 3 over 1+2 but then you still need to add another book which leaves you with a best cost of 5. You could instead pick 1+2 and get a cost of 4.

http://codeforces.com/contest/1374/submission/85468392, can anyone tell me why am I getting TLE on 20th testcase in problem E1.

"and move it to the beginning (so the negative balance becomes zero again and the answer increases by one). This move is much more optimally than moving the current closing bracket to the right.""Moving a closing bracket to end" or "an opening bracket to beginning",doing either of these will result in the same answer ,so why the second one is optimal ?

I think you are right, these moves are equal. I can be very stupid sometimes, sorry for this confusing sentence, I'll remove it from the editorial.

Can someone explain me why I am getting Wrong Answer in E2. https://codeforces.com/contest/1374/submission/85472085

My logic: lets call the 1 1 books as both. if both+Alice < k: then not possible also if both+Bob <k then not possible

Otherwise I sort the books. Then fulfill the condition of k by taking the cheapest book. Finally I take the remaining elements and sort them and take the cheapest books to complete the set

Edit: I am new to competitive programming so can you also help me to make my code efficient.

Man, if you are a newbie, why then try a problem that only grandmasters can solve?

Why not solve it just for the sake of problem solving.

Just like Errichto said if you have ideas for a problem then exhaust them before checking the solution. If in the end he cannot solve it, then fine but don't discourage people from trying

All grandmasters start coding by being a newbie.

I had a really simple solution for E1:

I claim that Alice and Bob will both read exactly $$$k$$$ books that they each like. If we had a selection where both of them read more than $$$k$$$ books that they liked, then we can subtract out books (which decreases the total time) of $$$11, 10, 01$$$ until one of them has read exactly $$$k$$$ books that they like and the other has read $$$K \geq k$$$ books that they like. However, if one of them has liked $$$K-k$$$ more books, then they must have read at least $$$K-k$$$ books where they were the only one to like it. Thus, we can take out these books as well, which gives us a selection of books where they read exactly $$$k$$$ books that they each like, which is better than the original selection (where at least one person liked more than $$$k$$$ books).

Now, based on the claim, if they read a $$$10$$$ book, they must also read a corresponding $$$01$$$ book in the optimal solution. Thus, the problem now just comes down to pairing these $$$10$$$ and $$$01$$$ books. We can do this greedily (I'll leave the proof for you). We sort the $$$10$$$ and $$$01$$$ books independently, and match them from lowest time to highest. Now, we essentially have created $$$11$$$ books from $$$10$$$ and $$$01$$$ books, where the time of this double-book is the sum of times of its two parts. We can just treat this double-book the same as a normal $$$11$$$ book, so we can sort the $$$11$$$ and $$$10+01$$$ books all together and take the first $$$k$$$ smallest times to find our answer.

Code: https://codeforces.com/contest/1374/submission/85336049

I implement like this approach but why getting wrong on test 5? my code

Update: I found my mistake.

Loved your approach to this problem :D

Has anyone solved problem D using sorting and 2 pointer approach?

Check this.

Yeah got it. Thanks a lot.

can anyone explain from where does that formula in the editorial come from?

Can anyone please help why am i getting wrong answer on test case 12 of problem E2. My code — https://codeforces.com/contest/1374/submission/85427982 Initially I have taken all books which is interesting for both.Then if it is less than k then i have taken from remaining books which are in sorted order until the count of interesting books for both is equal to k.After that i have replaced the books interesting for both with books interesting to 1 only(2 books added for each 1 book interesting to both removed).Afterwards I have just added more books to make the total count m.I am not being able to figure out what is wrong in this approach. Plz. help.

Hi, can any one explain me why am i getting memory limit exceeded on test 5 in my solution for problem D https://codeforces.com/contest/1374/submission/85477191

HI. I think you haven't seen the constraints of k in the problem. K is up to

10^9, so as you try to go through every possible remainder or element (not so sure about that), this leads to TLE.Yeah okay. Thank you.

I had different approach to E1, solved it greedily.

We can separate books into 3 groups : the ones that Alice, Bob and both of them like respectively.

Sort them, and if the sum of the minimum element in "Alice" group and "Bob" group is less than the minimum element in "Both of them like" group, then i add up this sum to the answer, otherwise i add to the answer the minimum number from the "Both of them like" group.

Proof:

There are finite number of possibilities so the answer exsistes. If we replace books from the answer, that only Alice likes, by the same number of the smallest elements from the "Alice" group, answer will stay the answer, i mean that value of the answer won't get bigger. The same for the books from the answer, that only Bob likes.

If the sum of the smallest(unused) book from the asnwer, that only Alice likes and the one only Bob likes is smaller than biggest book that both Alice and Bob like, then we replace that one book by these two books, value of the answer won't get bigger, so it will remain an answer. Do it untill can't be done.

If the smallest book(unused) that both ALice and Bob like, has value smaller or equal to, the sum of the biggest by value book from the answer, that only Alice likes, and from the ones, that only Bob likes, then we can repalce these two books by that one book, and answer will remain answer, i mean answer value cannot get bigger. We do these untill it can be done.

And if we replace all the books from the answer, that both Alice and Bob like, by the same amount of smallest by value books from the group "Both ALice and Bob like", answer cannot get bigger, so it will remain an answer.

It is obvious, that there is only one such set of books to which any replacements from the above cannot be done and as shown above it is the answer.

The result we get from our greedy approach cannot have any of the replacement above, so it is the answer.

My submission

Why i am getting wrong answer for this submission(Problem E1): https://codeforces.com/contest/1374/submission/85476850 Please help!!

I am having that too. Wrong Answer at Test Cases 5 85481457

I don't know why but feels like there is some thing we are missing.

Guys help!!

Okay,so I used a different approach to solve D without any map. Hence I thought,I might share it. First replace arr[i] by arr[i]%k. Then we can sort this array.Now we iterate over this sorted array using a counter variable c which counts no of same a[i] encountered till that point.And then simply find max value of c*k-arr[i]. 85390239

Same Idea!

https://codeforces.com/contest/1374/submission/85367241 problem D.. idk why i am getting WA on tc 2...i had the same approach as in editorial...can someon help please!!

Imho this approach for E2 is easier: first, let's take

`k`

elements from`11`

group (if this group is smaller than`k`

— take all books from`11`

group and first`k - size(11)`

books from each`01`

and`10`

). If number of books that we took is greater than`m`

— the answer is`-1`

. Now, we have some set`ans`

of books that we took`(size(ans) <= m)`

, and we have 5 possible transitions: first 4 is to simply add the cheapest book from one of the sets, and 5th is to delete the most expensive book from`11`

set and add 2 books from`01`

and`10`

sets (after this transition we will add`cost(added) - cost(deleted)`

to the answer. After each of this transitions number of books in`ans`

increases by 1, thus we have to make`m - size(ans)`

iterations, (in each iteration we will try to add as less as possible to the answer). This approach can be easily implemented by storing pointers for each group. My code — 85363378.When you say “ first, let's take m elements from 11 group (if this group is smaller than m — take all books from 11 group and first m — size(11) books from each 01 and 10” I guess you mean K instead of m

Oops, you are right. Thanks!

Thanks a lot. Your submission and code link helped me to understand this problem much easier than the editorial solution.

Can somebody explain

E2I think my approach could be a bit easier to understand. Time complexity : O(n*logn^2).

My approach matches with Mike for the beginning.

First create 4 separate prefix sum arrays for 11,01,10,00 types.

For each

ifrom 0 to m, choosei11-types and then select best(k-i)books of 01 and 10 types in order to fulfill the requirement. So till now we have selected a total of (i + (k-i) + (k-i) = 2k-i) books. We now need m-(2k-i) more books. Let's say this value as X.So now you need X smallest numbers from the 3 sorted arrays(01,10,00 types)

From here you can just apply a simple binary search to find the Xth smallest number from the 3 sorted arrays of 01,10,00 types and get the indices upto which you must include to get the total X books

Note1: you must apply binary search on the original sorted arrays, NOT the prefix arrays.Note2: for 01 and 10 types, the starting indices for binary search will be from(k-i)because you have already chosen them before to fulfill the requirement.Now since you have found the indices(upto which you must have to include) for each array with binary search, you can simply calculate the total sum and compare it with the current minimum.

P.S: implementation could be a bit heavy with this approach

Another solution for E1: I sorted 01, 10, 11 books independently. Now you need to reach k books for both Alice and Bob. So we either have to pick 11 or (a 10 and a 01). We can greedily pick whichever is cheapest. Create a new

`v10[i] + v01[i]`

books. Combine`v11`

books with this new tuple of books, sort them and pick the k smallest values. 85376690Easy one. Thanks a lot.

please someone explain me this..

Then we need to find two consecutive pairs with the same first values and swap these two elements in the permutation. Because in fact these two numbers are equal in the array and have consecutive values in the permutation, we guaranteed change the parity of number of inversions.

Problem F

Pls explain why I'm getting WA in testcase2 of problem D. https://codeforces.com/contest/1374/submission/85355292

Here in your code variable

eleis storing the minimum value of all i%k whose if condition is true. lets understand this with an example,1

3 3

1 2 2

Here d={1: 1, 2: 2} Initially, maxi=0

Firstly, value of i will be 1 and d[1]>maxi i.e 1>0

so, maxi becomes 1 and ele becomes 1.

now, for i=2 condition is true, i.e d[2]>maxi i.e 2>1

so, maxi becomes 2 but ele remains 1 as you are storing minimum value encountered. So, this is wrong as if you change maxi you should change ele accordingly.

you can make it right by using a condition that if maxi==d[i%k] then you should choose the minimum i%k, else you should change the value of ele to current i%k.

With it your submission gets AC 85494164

Thanks man! Such a silly mistake while writing code! I think I'm really careless.

For anyone having trouble understanding the 1374E2 - Reading Books (hard version) editorial: I think they meant 'but elements of 11-group are not free' instead of 'but elements of 00-group are not free'.

For problem D, consider the test case n=3, k=7 and a={1, 1, 1}. With this approach the answer would be 21. But we can do it in 7 steps only. The required remainders are {6, 6, 6}. Which can be obtained by 1+5, 2+4 and 6. So array {7, 7, 7} can be obtained in one full cycle only.

You can only perform the add operation at a particular index Atmost once.

If the problem was actually what you interpreted it to be, I guess it would've been much harder.

Lol my bad :-) thanks for clarification

E2 is shit!

`If k−cnt is less than zero .....then return -1`

why?and next question : what would be the output of the following input:

thanks in advance .........

cnt is the number of books taken from the 11-group.If cnt is greater than k then it cannot be the answer. If k-cnt which is the number of books to be taken from 01 and 10 group is less than the size of either 01 or 10 group then also it cannot be the answer. As to the answer of your input it will be 2. Hope i can make you understand.

`thanks a ton for responding @coding_lover`

Hey guys, if any of you having difficulty in understanding the editorial of problem E1. Here's a video to help you out.

Thank you!

my accepted solution in python3:

IS THERE ANY PROBLEM WITH THIS CODE FOR PROB B https://codeforces.com/contest/1374/submission/85385019

BY THE WAY THIS IS AC code

If you not found any problem with your solution.then why you post here your solution for twice.we have editorial..No need your solution for B.

ACTUALLY MANY DOWNVOTED MY CODE

PThakur_16 Your code is neither having new concepts nor is efficient time complexity wise.So, I don't understand why you use to post your codes. We already have editorials.DOn't Spam the comments section. If your code got accepted then be happy.Btw your code is having poor time complexity.

Can't understand cyclic shifts sorting. Can someone explain why odd parity fails to give answer ?

Also why in the end two elements wont be sorted?

Problem F

Let's consider you are doing cyclic shift with permutation a1,a2,a3 then after doing cyclic shift the permutation will be a3,a1,a2 . Now one thing to note here is that the number of inversions done in one cyclic shift is 2(a3 is now before a1 and a2) , so every time we perform cyclic shift, the number of inversions done are increased by two or in another way we can say that we can never swap two numbers therefore if the required number of inversions have an odd parity we can never sort them.

Thanks, also why in the end two elements wont be sorted?

I think that if we have put all the elements till the last third element(in the sorted order) at their correct positions then we won't get last two elements unsorted as if we get the last two elements unsorted than the parity of the number of inversions in that sub problem(that particular state) will be 1(i.e. odd) which cannot happen.

Also as it was not mentioned in the problem that all the numbers are different therefore such a condition may arise when we have two equal numbers. But contradictory if we have equal numbers then i think we might be able to sort even if we have number of inversions with odd parity as:-

Let's consider 1 3 1

The number of inversions is 1 but after one cyclic shift we can actually sort it.

Because

twounsorted elements isoneinversion, and we cannot get rid ofoneinversion."Then let's just cut off the first element and solve the problem without it. At the end we have only two numbers that can be not sorted and we can check all three possibilities and choose one which is suitable for us (it's always exists because the number of inversions is even)."

Picked this from editorial. What are the three possibilities?

The three possibilities are the three cyclic permutations of the last three elements. 123 -> 123,231,312

Thanks

Sir, if you can kindly say what we are going to do if there are duplicate elements in the array? I am unable to understand the editorial. Plz pLz help

I think in that case we should skip checking the parity of the number of inversions and do next step as it is.

If it takes us to a situation in which the last two elements are unsorted then we can check for all the three permutations(cyclic) of the last three elements and if none of them makes the array sorted then there won't be any possible answer.

But , I find people changing the number of inversions if there are duplicate elements and the number of inversions is odd

Please Someone Explain Why i am Getting TLE in Test case#5

my submission is : 85516199

try test case, where size of string is 1e6 and every bracket is ')'

Can someone help me i am getting TLE in D part Here is my submission https://codeforces.com/contest/1374/submission/85529755 Thanks

try test case t = 1 1 1000000000 999999999

In E1, I get the part where the editorial says that if k-cnt is grater than the size of 01 or 10 group.It means we do not have enough books to satisfy the condition that "Alice likes at least k books from the chosen set and Bob likes at least k books from the chosen set" but why the answer is -1 when we get k-cnt is less than zero. If k-cnt is less than zero cant we just choose k elements/books which are from 11 group as we have enough books in 11 group itself.

Also, I have another doubt, why is it optimal to choose all the elements of the 11 group.

Here if we take 4, it is not the minimal answer as we can have 1+1=2 as minimum. Did i get the question wrong?

please help me with my solution for E1. Am getting WA. link

The problem is in this part of your code

It must be v[j] instead of v[x]

AC. Thanks a lot.

What exactly is Problem E1 asking? Explain testcase.

Input:

Output:

problem statement : minimum time required such that a likes atleast k books and b likes atleast k books approach: there can be two cases- A likes a book and B doesn't and B likes a book and A doesn't. combination of these two gives that a like 1 book and B likes 1 book. Total time of this case will be Time of A+Time of B. while another case is that A likes a book and B likes that too. It also gives the result that A likes 1 book and B likes 1 book. Total time of this case is the time given . So for both to read 1 book minimum time will be the minimum of both cases. following the same approach for all k-1 books. .

I will try to explain the given test case. a01- 1,1,4 a11-1,2,7,8 if we consider the vector a01 then also we will have to consider vector a11 because in vector a01 there is no contribution in liking of b. so we have to consider all k=4 elements of a11 and so the result is 1+2+7+8=18

Please help.I am Getting WA in Problem E2. My code:(https://codeforces.com/contest/1374/submission/85530060)

Refer to https://codeforces.com/blog/entry/79517?#comment-652813

sorry,the code of the solution of E2 have some errors, it can't run in my computer,such as

in the line 119 and

in the line 26

could any one help me? thank

Can anybody help me? for E2 (reading books hard version). I m getting wrong answer in test case 12 and my answer only differs by 1 from real answer.

my code if https://codeforces.com/contest/1374/submission/85595106

Can anyone explain the error in my submission in problem D https://codeforces.com/contest/1374/submission/85390655

How does the given solution for question B ensure that there are no other prime factors other than 2 and 3 for the given n?

Can somebody elaborate the Problem A.How does he come up with these terms

`n−nmodx+y and n−nmodx−(x−y)`

i don't understand these terms.Can anyone tell me why my solution to

Problem Dis gettingMemory limit exceeded?Link to my solution

I think my code takes even less memory as compared to the code in editorial, since I am not using an array to store the numbers! :\

I have some problems understanding the editorial of 1374D - Zero Remainder Array.

Firstly, he says that you "fix" an element. What does that mean? Does he mean that the subsequent element which has the same remainder has to wait for the next cycle?

Secondly, this part of the editorial

He uses

`ai mod k`

in the LHS and`i mod k`

in the RHS... was that just a mistake?Is it possible to make a binary search solution for problem A ?

if so, then please share your code.

int question E1 why we are taking all 1 1 elements? there might be one case where addition of 1 1 elelments have more reading time then reading time without taking them. somebody explain.

I am solving E1, following same approch as tutorial, still getting wrong answer on test case 4. here is my code:

Code in Java

Can someone look and tell what am I doing wrong?

Can anyone help with D? Why answer at least is k⋅(max(cnt)−1, how we come to that?

Can anyone help, what I'm doing wrong? I'm getting WA in E2.

My logic for solving this —

my submission — 85968003

Thanks in advance!

Please look into my solution. I think I'm adding some more elements than what's required but my logic is clear. I cannot find where the error is in my logic or code .

Here's my submission https://codeforces.com/contest/1374/submission/85868319

please let me know if you can find a problem. I am getting WA on test 5.

same here https://codeforces.com/contest/1374/submission/86235946

I think later on you could replace a pair of two books that each like with a single book that both of them like

Can someone explain problem D's solution more clearly?I didn't get it. Thanks in advance!

Suppose the array elements are {8,7,1,8,3,7,5,10,8,9} and k = 6 you will have to add {4,5,5,4,3,5,1,2,4,3} these to ith element to get remainder 0 but you can only add a number once suppose there are 3 element in array which require 5 so first will get 5 second will get 5+k and third will get 5+(2k). So if 5 is the biggest number with max_count = 3 ans is k*(max_count-1)+5.

nicely explained

On Question D Zero Remainder array can anyone explain why my submission is getting Memory Limit Exceeded MySubmission

I got it bro. The thing with your solution is that you're running a loop from 1 to k. In the question, k can be as large as 1e9. Hence we iterate only through the elements of the map.To cure the MLE error, only take k as long long . Rest all as int.

YOUR MODIFIED SOLUTIONhttps://ideone.com/XFVuey

Thanks bro, will try this.

I did exactly what is written in the tutorial for B. But still I got wrong answer in TestCase 5. When I did the a check that after dividing with both 2 and 3 (for getting respective powers) that the resulting number is 1 or not, my submission passed. This is weird.

Any reason why this happened?

My approach:

First step:

I am greedily allocating the common taste books, followed by remaining books of alice and bob. With this, I am ensuring at-least k-books are included in the list and the time is minimized.

With this, easy version got accepted.

Second step:

If booksRead > m, I am reducing the numbers by replacing the individual taste with the common taste books. If booksRead < m, I am greedily allocating the least time taken book from the remaining entire books available.

It seems that I am missing something in my code. Due to that, the hard version got failed in the test case 12. Here's the submission link: https://codeforces.com/contest/1374/submission/86028907

Can someone please explain what I am missing in my code?

Could you explain little more on this?

Your program gives the output 5 whereas the optimal output is 4 (take 1, 2).

Please tell me, why do we have exactly optimal solution when we take ")" to the end of string in problem C.

How to prove?

Since there are equal number of opening and closing brackets, you may take '(' or ')' to beginning or end of the string to get the optimal solution. And you are reaching this solution once the existing valid bracket sequences are removed/invalidated from the actual string.

Thanks. I can`t undestand how can you prove something so easy)) Really, it is very difficault for me. May be some secrets? Because it is a bit "dangerous" to solve the problem with out proving....

my soln is showing error while on my local machine it is showing right answer.someone please help 85351451

Please help me i am getting TLE in question no. D

My submission : https://codeforces.com/contest/1374/submission/86383860

I assume it is IO problem. You are doing

`ios_base::sync_with_stdio(0);cin.tie(0);`

and then mixing cin and scanf. Try using only one of the IO stacks, or do not disable the sync of both.Thanks for reply

Where is wrong answer case 12? Please help me?https://codeforces.com/contest/1374/submission/86379753

E2(hard version) is amazing question with okayish editorial. Took me almost 2 days and a brief explanation from a grand-master coder to understand the overall logic.

[Solved]

Someone Please help I am facing error in test # 3 of question D. Its saying 1st numbers differ , showing my output as 38 but correct as 26 . But when i run the same code in IDE it gives 26 . My submission is 86640989

I am not getting why I am getting wrong answer for problem E. Here is my solution: https://codeforces.com/contest/1374/submission/86808426

*(For E2)

MikeMirzayanov,vovuh

In the problem 1374F - Cyclic Shifts Sorting, is the order of indices for performing the operations fixed?

While performing the greedy algorithm, I chose the maximum element instead and moved it to the last position. Wouldn't that give me a different order of indices?

The solution 86861838 having taken the maximum element isn't being accepted. Please clarify.

If you perform the shift with the triple $$$[p_i, p_{i + 1}, p_{i + 2}]$$$, you need to print the index $$$i$$$, not $$$i+1$$$ and not $$$i+2$$$. Make sure that all indices you print are indices you (and checker) want to see.

It worked. Thank you, vovuh.

I've implemented MinHeap in "1374D — Zero Remainder Array". But it's giving TLE at Testcase "5". (link: https://codeforces.com/contest/1374/submission/86907927) { I'm not getting the logic used in editorial for this problem :( }

Any kind of help will be truly appreciable :)

{Logic I used in minHeap:

For i such that a[i]%k!=0, store minimum difference (a[i]//k+1)*k — a[i] in heap and than sequentially travel from x=0 until heap beacome empty, solving for "top of heap" in each iteration. If at any time the top is less than x, than increase that top to (top+k). The logic is working but giving TLE at TC 5 :(

}

Ohkk... replying myself as I've got the solution. May be someone else find it useful :)

Attached is the python submission doing the given task in a very straightforward implementation. 86941715

Could someone help my E1 code out? I got TLE at case4. CODE

please help someone in D getting TLE in TC:8 seems my code is more optimize that the editorial : my submission -> 87933230

Problem DWhy max count always giving the maximum final value of x? (x from problem description).

Because :say, min possible value with maxCount < max possible value with less than maxCount

which is => (maxCount-1)*k + 1 + 1 < (maxCount-2)*k + (k-1) + 1

=> 2<0 ;

Impossible.Look at this Accepted Codeproblem: E1

int ans = INF; for (int cnt = 0; cnt < min(k + 1, int(sums[3].size())); ++cnt) { if (k — cnt < int(sums[1].size()) && k — cnt < int(sums[2].size())) { ans = min(ans, sums[3][cnt] + sums[1][k — cnt] + sums[2][k — cnt]); } }

what is happening in this part?

can someone please explain the formula from the problem A- Required Remainder....

can someone tell me why i am getting run time error my submission no is 89187294

Can someone please explain the logic of 1374B?

Hi, can someone please help me with E2, got WA on test 10

My approach is, first split the books into 4 groups like in the editorial. Sort each of the groups. Then the books that we should take will have the form of: Some books in group 1-1, some pairs of books where each pair consists of a book from group 1-0 and another book from group 0-1, and some other books (which belongs to group 0-1, 1-0 or 0-0) that doesn't contribute to k but we still have to take in order to meet the condition of having exactly m books in total (let's call these books "useless"). Since we want the reading time to be minimized, the pairs (0 — 1, 1 — 0) should be (smallest element of 0 — 1, smallest element of 1 — 0), (2nd smallest of 0 — 1, 2nd smallest of 1 — 0), ... and so on. Now if i fix the number of "useless" books, say T, then I need to pick M = m — T more books. So if I take x smallest pairs of (0 — 1, 1 — 0), I still need to take M — 2 * x more books of the type (1 — 1). So the cost with a fixed x will be pre1[x] + pre2[M — 2x] (pre1, pre2 are prefix sums for the pairs and the (1 — 1) books). Since this function is unimodal, we can run ternary search and solve the problem in O(n log n).

I haven't managed to find out what was wrong in my solution / code, please take a look at my submission here 90398136, thanks in advance.

Is there a proof for why the answer is (cnt3-cnt2) + cnt3 for 1374B - Multiply by 2, divide by 6

Hi vovuh thanks for the problemset. Could you explain how is possible to deduce that the answer for 1374B - Multiply by 2, divide by 6 is: (2*cnt3) — cnt2 (when there is a solution)?

can anyone please explain A tutorial???!!

Glad I can help,(https://www.youtube.com/watch?v=sgqSVTOwePQ)

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Question for problem B. The tags specify

`math`

. May I know whichspecific topicof mathematics this is? Thanks in advance!I managed to solve 1374B - Multiply by 2, divide by 6. Hope it helps!

Spoiler1can only be achieved with 6 divided by 6. Moreover, 6 can be achieved by multiplying 3 by 2.So, for each

n, do this while-loop:After exiting the while-loop, print

iifnis equals to1. Otherwise, print-1as such:Here is my submission for your reference: 99619239

-Problem B I used brute-force and passed the system test (although problem B is only labeled mathematically).-My idea is to start at 1, we multiply it by as many 6 and divide it by as many 2s if possible. Those numbers are numbers that can be converted to 1. *I want to know (1≤n≤10^9) is my algorithm really correct? Thanks!

https://codeforces.com/contest/1374/submission/105473784 (Acepted)

the main part of the program

In problem D can anyone tell what would be the solution if this (first operation can be applied no more than once to each i from 1 to n) condition was not given.

This works too for problem B

I think this is similar to the editoral.

The official editoral just separated 6 into 2 and 3 ,and then count their times respectively.

Hi. There is another way to solve the first problem: ((n-y)/x)*x+y