Общий форумThis problem can be solved using greedy technic. Method is to divide the given number from 9 to 2. Each time we will continue to divide and update the number as we go. We will keep dividing N with the same number utill its impossible to do so.And for each division we will save the number which was divisible by given number. And by "save" i mean pushing the number in a stack or a in a vector or an array. If you are using other than stack you might print out the numbers in a reverse manner. And when we are getting "-1"? I already wrote that, we keep updating the number. so after we pass the 9 to 2 loop, we should be left with a value of 1 in the variable N ( given number ). Incase N!=1 we are just printing "-1". For the case N=1 or N=0? for the case 1 you should just print "1" and for the case 0 print "10", we can not print 01 since this refers to number, 1. If you have problem understanding what i have just written or for better understanding, give this a go : https://ideone.com/709cog Edited by author 21.02.2020 00:34 Edited by author 21.02.2020 00:38 Edited by author 21.02.2020 00:41I solve reccurence, then pow to n(which takes log n to quickpow), but it's also TL. How can i improve this not writing my own long arithmetic? It can be solved only with 2 divisions in BigDecimal, but answer length is about 32000 so [maybe] toString gives TLE on conversion binary data to decimal representation. If somebody knows, how to solve this problem - please tell me 2^n = 10^(n*lg(2)) My AC solution: int n0 = (int) (Math.log10(2f) * (n - 1)); int n1 = (int) (Math.log10(2f) * n); int n2 = (int) (Math.log10(2f) * (n + 1)); int len = n1; if (n1 == n2 && n1 == n0 + 1 && n % 2 != 0) { len = n0; } Answer is len. I thought that this problem's solution is : t= (n-(n%10)) /4 +1 if(n>=30) { t=t+1; x=n-n%10; if(n>39&&((x/10)%2)) t=t+(x-30)/20; if(n>49&&((n-n%10)%4==0)) t=t+(x-40)/20; } t= t+ (n%10)/4; cout<<t; but it got WA#8. And i don't understand "if(n==1 && n1==n0+1 && n%2!=0)" statement are for what tests? Would you mind explaining for me! Thanks! bve, your way is brilliant. Thank you! bve, any links to why it works? My submission (8764478) goes wrong on the following tests, but it has an AC on the judge system. The right answer for all test cases below is "equal". RRGB GRBR RRGY GRYR RRBG BRGR RRBY BRYR RRYG YRGR RRYB YRBR RGRB BRGR RGRY YRGR RGBR GRBR RGYR GRYR RBRG GRBR RBRY YRBR RBGR BRGR RBYR BRYR RYRG GRYR RYRB BRYR RYGR YRGR RYBR YRBR GRGB BGRG GRGY YGRG GGBR BGRG GGBY BGYG GGYR YGRG GGYB YGBG GBRG BGRG GBGY YGBG GBYG BGYG GYRG YGRG GYGB BGYG GYBG YGBG BRBY YBRB BGBY YBGB BBYR YBRB BBYG YBGB BYRB YBRB BYGB YBGB Help pls, I have WA #20 can u give me a test? (all answers of my program on tests which i generated are right) VAR s:string; k,n,l,c:Longint; begin read(s); l:=length(s); val(s,n,c); if (n<3) and (n>0) then begin k:=0; case s[l] of 'a','A': write('window'); 'D','d': write('window'); 'b','B': write('aisle'); 'c','C': write('aisle'); end; end; if (n>=3) and (n<=20) then begin k:=0; case s[l] of 'a','A': write('window'); 'f','F': write('window'); 'b','B': write('aisle'); 'd','D': write('aisle'); 'E','e': write('aisle'); 'c','C': write('aisle'); end; end; if (n>=21) and (n<=65) then begin k:=0; case s[l] of 'a','A': write('window'); 'k','K': write('window'); 'g','G': write('aisle'); 'd','D': write('aisle'); 'h','H': write('aisle'); 'c','C': write('aisle'); 'b','B': write('neither'); 'e','E': write('neither'); 'f','F': write('neither'); 'J','j': write('neither'); end; end; if n>65 then write('neither'); end. Edited by author 20.11.2012 23:14 Please, write your messages in English, because it's international language. We, Russians, don't understand O'zbek #include<iostream> using namespace std; int main() { int n; cin>>n; switch(n) {case 2: cout<<10;break; case 4: cout<<670;break; case 6: cout<<55252;break; case 8: cout<<4816030;break; } return 0; } Edited by author 03.02.2012 16:53 print(([0,10,670,55252,4816030])[int(input())//2]) hahahahahahaha Solution #1: AC in 0.8 sec Just calculate sum using Gauss's method. Int[-1..1] f(x)dx ~= (5*f(-sqrt(3/5)) + 8*f(0) + 5*f(+sqrt(3/5))) / 9 Number of parts, N = (int)7e6 Length of part number i = (1e-4)*koef^i, where koef = 1 + x/N. Try some different x = 0.1 ... 10, and get AC =) Solution #2: WA 11 on MSVC or AC on Java, Pascal, GNU C++ http://en.wikipedia.org/wiki/Residue_theorem says that we have to find all complex roots of the polynom. I do not like exact formulas for degree 3 and 4. There is numerical way to find all complex roots for any degree of polynom. Just take point z = (0,0) and shift it to any direction in such a way that |P(z+shift)| < |P(z)|. Shift it while |P(z)| > eps. Now z is a root. This method works not only for polynoms, it works even for arbitrary "holomorphic function" (see Complex Analysis). Prove is smth like this http://en.wikipedia.org/wiki/Maximum_modulus_principle The only thing that I need now -- to calculate f(z) for any complex z. And using only "double" of Microsoft Visual C++ I can't. I have no enough precision and get WA 11 =( Using BigDecimal (java), extended (pascal) or long double (GNU C/C++) this method gets AC (the task is from Petrozavodsk, so I have original tests). P.S. 2 Admins: Ну сколько можно добавлять задачки с контестов, где у С++ программистов был под рукой long double, и это было важно. Даешь GNU C/C++! Edited by author 27.10.2012 08:08I found many other ways. 1)Monte Carlo - slow for this problem 2)Separation of real and complex roots. Can be used to solve this problem. Binary search for Re(z)=alfa, Re(z)=beta, Im(z)=gamma, Im(z)=delta Березин И.С., Жидков Н.П. Методы вычислений, Т.2. М.: ГИФМЛ, 1959. 3)Ferrari method. Куликов Л.Я. Алгебра и теория чисел 4)Barstow method. It's numeric iterative method. Саманчук_билеты_с_ответами.pdf Численные методы I use combination from 3): binary search for yo then formulas Edited by author 12.08.2018 21:04 https://en.wikipedia.org/wiki/Adaptive_quadrature with Gaussian method to estimate value of definite integral: approx_integrate(Func f, long double l, long double r) { long double A = sqrtl(3.0l/5.0l)/2, x1=0.5-A, x2 = 0.5+A; return (5*f(l*x1 + r*x2) + 8*f((l+r)/2) + 5*f(l*x2+r*x1))/18 * (r-l); } AC in 0.015. That is, you don't even need to think to solve this problem. Edited by author 16.02.2020 23:48 Try these test cases. Test 1: 0 Ans:2 Test 2: 1 Ans:2 Test 3: 2 Ans:3 Test 4: Z0Z Ans:36 Test 5: 21 Ans:4 Test 6: ZIZ Ans:No solution. (Don't forget to put the full-stop at the end!!!) Test 7: AERGUFG12312OP Ans:32 Test 8: 234DFG67 Ans:23 And this problem can be solved within int range. Edited by author 09.12.2015 20:14 only test 7 I can't get right ans. I have 33 And WA4 Removed my post, because apparently I can't alphabet :) Edited by author 12.07.2016 14:45 IN TEST CASE 2, FOR INPUT 0 , WHY ANS IS ONLY 2 IT CAN BE 1,2,3,4,5.......35. BECAUSE ZERO IS DIVISIBLE BY ALL. You can't divide by 0! So 1 isn't a solution and therefore it's 2: 2 2 2 2.01 4.01 3.99 4.01 правильный ответ 1.9800000 у меня было 1.9900000 Дело в том что чтобы не париться с double я умножал сразу на 100 но оказалось что 2.01 * 100 == 200 а не 201. Пришлось вручную переводить две цифры после запятой и решение зашло! import sys n,k=map(int,input().split()) ans=0 nn=1 on=1 if n==1: print(0) sys.exit() for i in range(100000000000000000000): if on<=k: nn+=on on+=on ans+=1 elif k<n: nn+=k on+=k ans+=1 if nn>=n: print(ans) sys.exit() i can not understand why optimization my cod if i got ac with you help i give you 1000 rubles Edited by author 17.10.2018 22:35 The reason why you got time limit is that you don't use optimal algorithm. Your algorithm can be even correct, but to pass you need downgrade your algorithm. Maybe you could find some formula that would describe the whole process. Python is not the case here. You would get the same time limit issue with C. I launched your script with N = 10000000 and K = 2 and it took 1.833s on my machine to get the correct answer when the time limit is 0.25s. Of course it will grow up nonlinearly with bigger N. So it would take ages with N = 10^9 (the edge value). $ time echo "10000000 2" | python 1131_bruteforce.py real 0m1.833s user 0m1.824s sys 0m0.007s if i got ac with you help i give you 1000 rubles Edited by author 17.10.2018 22:35 P.S. I don't need your money if you finally solve it :) Edited by author 13.02.2020 06:12 Edited by author 13.02.2020 06:12Don't make 100+ submissions like I did. Just check these tests to make sure you correctly understand the problem description. Test #1: 10 20 0 5 3 4 turn 1 100 2 100 3 100 4 100 5 100 6 1 calls 20 2 calls 20 3 calls 20 4 calls 10 5 checks dealing flop 80 80 80 80 80 answer: 6 4 checks 5 checks 1 checks 2 checks 3 checks dealing turn Test #2: 10 20 10 5 3 3 turn 1 11 2 12 3 100 4 100 5 100 7 1 calls 1 2 calls 2 3 raises 10 to 30 4 folds 5 calls 10 dealing flop 5 checks 0 0 50 80 45 answer: 4 3 bets 10 5 calls 10 dealing turn 5 bets 5 Test #3 (this is what 10th test about): 10 20 0 5 3 4 flop 1 200 2 100 3 100 4 200 5 100 3 1 calls 20 2 calls 20 3 raises 20 to 100 100 80 0 100 80 answer: 5 4 calls 90 5 folds 1 calls 80 2 folds dealing flop Test #4: (this is what 32th test about - pay attention to the order of players' turns) 10 20 0 2 2 1 river 1 1000 2 1000 10 2 calls 10 1 checks dealing flop 1 bets 20 2 raises 30 to 50 1 calls 30 dealing turn 1 checks 2 checks dealing river 900 830 answer: 2 1 bets 30 2 raises 70 to 100 Test #5: (This is what 33th test about, 0 - is the wrong answer!!!!) 10 20 0 3 3 3 flop 1 100 2 100 3 100 0 80 80 80 answer: 6 3 calls 20 1 calls 10 2 checks dealing flop 1 checks 2 checks Good luck!!! Edited by author 12.06.2016 14:04 Edited by author 13.06.2016 20:51 Correct me if I'm wrong, but isn't test #2 invalid because it has one more possible answer? 5 3 checks dealing turn 5 checks 3 bets 10 5 raises 5 to 15 This answer isn't possible because of this: "If that is the first time when module takes turn then it should restore all players’ turns with all data it has. Otherwise module also has the information about all players’ turns before the previous bot turn". It means that you must have not more than one bot's turn in the answer. At least if M > 0. "It means that you must have not more than one bot's turn in the answer. At least if M > 0." Is there situation when M=0? Yes, first sample for example. But looks like there's always not more than one bot's turn. Here's some modification of my 5th test: 10 20 0 3 3 3 river 1 100 2 100 3 100 0 80 80 80 It seems to be correct, and the answer has > 1 bot's turn: 14 3 calls 20 1 calls 10 2 checks dealing flop 1 checks 2 checks 3 checks dealing turn 1 checks 2 checks 3 checks dealing river 1 checks 2 checks I checked and there are no such tests. "If that is the first time when module takes turn then it should restore all players’ turns with all data it has." - probably this means it's the first bot turn, otherwise the module would be called before. "Yes, first sample for example. But looks like there's always not more than one bot's turn." I mean M is number of all turns, not only bot's. Also I'd like to ask another question: in all tests here bot's turn occupies first line of output, so is there any test where bot's turn is not in first line, or it contradicts to the condition? Yes. See 1st sample test. And what about this test: 10 20 2 5 3 4 flop PhilIvey 500 TomDwan 500 ViktorBlom 500 Grobot 500 Ziigmund 500 6 PhilIvey folds TomDwan calls 20 ViktorBlom raises 40 to 60 Grobot calls 50 Ziigmund folds TomDwan folds 498 478 338 438 478 ans1: 1 dealing flop ans2: 3 dealing flop Grobot checks VictorBlom bets 100 Which answer is right? Thanks in advance. Edited by author 16.04.2017 17:27 for test #2 answer, wouldn't: 2 3 bets 10 5 raises 5 to 15 be correct too? and for test #3 raises shouldn't it be 3 raises 80 to 100 Thx in advance EDIT: Sorry, i misundestood Edited by author 02.12.2019 06:28 Edited by author 02.12.2019 06:28 Edited by author 21.02.2020 17:41 Easy concept, just to think for a while. AC in one go! just use bfs as a modified version of dijkstra and you will be done K= 11 S= 125 OTVET= 511435086865 K= 11 S= 126 OTVET= 620074954696 K= 11 S= 127 OTVET= 620074954696 K= 11 S= 128 OTVET= 747880479697 K= 11 S= 129 OTVET= 749351922670 K= 11 S= 130 OTVET= 900828406180 K= 11 S= 131 OTVET= 900828406180 K= 11 S= 132 OTVET= 1081759187586 K= 11 S= 133 OTVET= 1081759231344 K= 11 S= 134 OTVET= 1292739780552 K= 11 S= 135 OTVET= 1295226349065 I have got WA 23, but I know that my algo will have TLE... What is the right algo??? Accepted!!!! BFS - very good thing!!!! #include <iostream> #include <algorithm> #include <string> unsigned counter = 0; void printPalindroms(unsigned short *splitIndex, unsigned short i, const std::string& str){ if(splitIndex[i] == 0){ std::cout<<str.substr(0, i+1)<<" "; }else{ printPalindroms(splitIndex, splitIndex[i]-1, str); std::cout<<str.substr(splitIndex[i], i + 1 - splitIndex[i])<<" "; } } int main() { std::string strr; std::cin>>strr; const char* str = strr.data(); unsigned length = strr.size(); unsigned arrSize = (length*length + length)/2; bool *pArrData = new bool[arrSize]; bool **pArr = new bool*[length]; unsigned short *splitWeights = new unsigned short [length]; unsigned short *splitIndex = new unsigned short[length]; std::fill(pArrData, pArrData + arrSize, false); std::fill(splitWeights, splitWeights + length, length +2); std::fill(splitIndex, splitIndex + length, 0);
unsigned offset = 0; for(unsigned i = 0; i<length; ++i){ pArr[i] = pArrData + offset; offset += length - i; } // init the first row std::fill(pArr[0], pArr[0] + length, true); //init the second row for(unsigned i = 0; i<length - 1; ++i){ if(str[i] == str[i+1]){ pArr[1][i] = true; } } for(unsigned i = 2; i < length; ++i){ for(unsigned j = 0; j< length - i; ++j){ if(pArr[i-2][j+1] && str[j] == str[j+i]){ pArr[i][j] = true; } } } for(unsigned i = 0; i < length; ++i){ if(pArr[i][0] == true){ splitWeights[i] = 0; splitIndex[i] = 0; }else{ for(unsigned j = 1; j <= i; ++j){ if(pArr[i-j][j]){ unsigned short temp = splitWeights[j-1] + 1; if(temp < splitWeights[i]){ splitWeights[i] = temp; splitIndex[i] = j; } } } } } std::cout<<splitWeights[length -1] + 1<<std::endl; printPalindroms(splitIndex, length - 1, strr); delete[] splitIndex; delete[] splitWeights; delete[] pArr; delete[] pArrData;
return 0; } use cout.precision(0) and cout << sqrt(ans) * 1000.0 << endl; Edited by author 09.02.2020 20:13 How to solve this problem in o(n^2)? Let's start from the beginning: Let R(n) will be the function that returns count of unique staircases. Now let's introduce function G(n,j) that returns count of unique staircases each first step of which has more than j bricks. Then R(n) = G(n,0) - 1 . We have to subtract one because it is the case when all bricks are spent on the first step. G(n,j) = (n>j ? 1 : 0) + (G(n-j-1, j+1) + G(n-j-2, j+2) + ... +G(0,n)) G(n,j-1) - G(n,j) = (n == j ? 1 : 0) + G(n-j, j) => G(n,j) = G(n,j-1) - G(n-j,j) - (n == j ? 1 : 0) We know that in the case when n<=j G(n,j) = 0, so we can solve upper equation only for cases when j<n, in such cases upper formula will transform to G(n,j) = G(n,j-1) - G(n-j,j). But we still have to solve the cases when j == 0 and i > j as G(n, 0) = 1 + G(n-1, 1) + G(n-2, 2) + ... + G(0,n) //Alloc and init matrix g with zeroes //Calculat g matrix for(i = 2; i<=N; ++i){ g[i][0] = 1; for(j=1; j<i;++j){ g[i][0] += g[i-j, j]; } for(j=1; j<i;++j){ g[i][j] = g[i][j-1] - g[i-j,j]; } } cout<<g[N][0]-1; Edited by author 09.02.2020 17:14 I have WA 7 and I found the problem on test '20 30 13456'. It's a nice case to fix program but still it doesn't fix WA7. Edited by author 09.02.2020 15:46 Edited by author 26.03.2009 23:03 Edited by author 26.03.2009 23:03 There is full solution!!! Try thinking yourself or using hints before watching it and use visual c++ 2017 . . . . . . . . . . . . . . . . . . . //#include <bits/stdc++.h> #include <iostream> #include <vector> #include <algorithm> #define int long long #define pb push_back using namespace std; const int N = 50000; pair<int, int> dp[N], right_end[N]; vector<pair<int, int> > v; vector<int> ans; unsigned main() { for(int i = 0; i < N; i++) { right_end[i].first = -50001; right_end[i].second = -50001; } int m; cin >> m; int l, r; int k = 0; while(true) { cin >> l >> r; if(l > m || r < 0) continue; if(l == 0 && r == 0) break;
v.pb({l, r});
if(r > right_end[l].first) { right_end[l].first = r; right_end[l].second = k; } k++; }
int i = 0; for(auto it: v) { if(it.first <= 0 && it.second > 0) { if(it.second > dp[0].first) { dp[0].first = it.second; dp[0].second = i; } } i++; } for(int i = 1; i <= m; i++) { if(dp[i - 1].first >= right_end[i].first) { dp[i].first = dp[i - 1].first; dp[i].second = dp[i - 1].second; } else { dp[i].first = right_end[i].first; dp[i].second = right_end[i].second; } } for(int i = 0; i <= m; i++) { if(dp[i].first < i) { cout << "No solution" << endl; return 0; } } int pos = 0; while(pos < m) { ans.pb(dp[pos].second); if(dp[pos].first == pos) { cout << "No solution" << endl; return 0; } pos = dp[pos].first; } cout << ans.size() << endl; for(auto it: ans) { cout << v[(int)it].first << " " << v[(int)it].second << endl; } } Edited by author 09.02.2020 01:50 |
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