├── .gitignore ├── smallestRestrictedPalindrome.cpp ├── countDerangementInversions.cpp ├── minCostAddSubDouble.cpp ├── minBin.cpp ├── prisonBreak.cpp ├── README.md ├── minRectArea.cpp ├── special binary string.cpp ├── huffmanDecode.cpp ├── energyDifference.cpp ├── consecutivePrimes.cpp ├── minCostOddPrimeSum.cpp ├── travelingIsFun.cpp ├── nutanixSportsMeet.cpp ├── circularSubstring.cpp ├── .github ├── CONTRIBUTING.md ├── CODE_OF_CONDUCT.md └── LICENSE ├── superStack.cpp ├── Find Number of pairs.cpp ├── Palindrome And Substring.cpp ├── turnstile.cpp ├── findTheShape.cpp ├── killingZombies.cpp ├── scientificFarmer.cpp └── maxCoins.cpp /.gitignore: -------------------------------------------------------------------------------- 1 | 2 | *.o 3 | *.out -------------------------------------------------------------------------------- /smallestRestrictedPalindrome.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | IITR Flipkart 2018 3 | 4 | Given a string s, return a string t satisfying the following: 5 | 1. s contains t 6 | 2. t is a palindrome 7 | 3. t is largest possible 8 | If multiple t exists, return the lexicographically smallest t. 9 | 10 | 1 <= |s| <= 100000 11 | 12 | O(|s| + 26) 13 | */ 14 | string smallestRestrictedPalindrome(string s) { 15 | int c[26] = {}; 16 | for (char ch : s) c[ch - 'a']++; 17 | string t = ""; 18 | for (int i = 0; i < 26; i++) { 19 | for (int j = c[i] >> 1; j--; ) { 20 | t += (char)('a' + i); 21 | } 22 | } 23 | int fl = 0; 24 | for (int i = 0; not fl and i < 26; i++) { 25 | if (c[i] & 1) { 26 | t += (char)('a' + i); 27 | fl = 1; 28 | } 29 | } 30 | int n = t.size() - fl; 31 | for (int i = n; i--; ) { 32 | t += t[i]; 33 | } 34 | return t; 35 | } 36 | -------------------------------------------------------------------------------- /countDerangementInversions.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | ThoughtSpot IITK 2018 3 | 4 | Given n, find the sum of number of inversions over all derangements of length n. 5 | As the number can be very large, print it modulo 1000000007. 6 | 7 | Inversion in array A is a pair (i,j) where i < j and A[i] > A[j]. 8 | Derangement of length n is a permutation of 1..n such that A[i] != i for any i. 9 | 10 | 1 <= n <= 20 11 | 12 | Formula taken from here - https://oeis.org/A216239 13 | O(n) 14 | */ 15 | int countDerangementInversions(int n) { 16 | const int MOD = 1E9 + 7; 17 | const int inv12 = (MOD + 1) / 12; 18 | 19 | long long ans = 0; 20 | for (long long k = n - 1, v = n * (n - 1); k--; ) { 21 | long long x = v * (3 * n + k) * (n - k - 1) % MOD; 22 | if (k & 1) x = MOD - x; 23 | ans = (ans + x) % MOD; 24 | v = v * k % MOD; 25 | } 26 | return ans * inv12 % MOD; 27 | } -------------------------------------------------------------------------------- /minCostAddSubDouble.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Walmart Labs IIT Dhanbad 2018 3 | 4 | For a given number N, following operations are allowed: 5 | 1. N -> N + 1 6 | 2. N -> N - 1 (provided N > 0) 7 | 3. N -> 2 * N 8 | Cost of operation 1 and 2 is equal to A and cost of operation 3 is B. 9 | Find the minimum cost to reach X starting from 0. 10 | 11 | 1 <= X <= 100000 12 | 0 <= A, B <= 1000000 13 | O(X) 14 | */ 15 | inline void Min(int &a, int b) { 16 | if (a > b) a = b; 17 | } 18 | int find_min_cost(int A, int B, int X) { 19 | vector ans(4 * X, -1); 20 | ans[0] = 0; 21 | for (int i = 1; i <= X; i++) { 22 | ans[i] = ans[i - 1] + A; 23 | 24 | if (i & 1) Min(ans[i], ans[i >> 1] + B + A); 25 | else Min(ans[i], ans[i >> 1] + B); 26 | 27 | if (ans[i + 1] != -1) Min(ans[i], ans[i + 1] + A); 28 | ans[i << 1 | 1] = ans[i] + B + A; 29 | ans[i << 1] = ans[i] + B; 30 | } 31 | return ans[X]; 32 | } 33 | -------------------------------------------------------------------------------- /minBin.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Goldman Sachs IITD 2018 3 | 4 | We are given an array of size N, we can delete a subset b1b2b3...bk from the 5 | array if 2^b1 + 2^b2 + …..2^bk = 2^x for non-negative integer x where ^ is the 6 | power operator. Find the minimum number of steps required to delete the 7 | complete array. 8 | 9 | 0 <= ai <= 1000000 10 | 1 <= N <= 1000000 11 | 12 | Approach: The problem boils down to finding the number of set-bits in 13 | the summation 2^a0 + 2^a1 + 2^a2 + ... which can be done by counting the number 14 | of ai's for each ai and then using the same logic as you do for adding up two 15 | decimal numbers but instead of base-10, use base-2 16 | 17 | O(N + L + log L) where L is the upper bound on value of ai 18 | */ 19 | int minBin(vector a) { 20 | const int L = 1E6; // max possible value of ai 21 | vector cnt(L + 30); 22 | for (int ai : a) cnt[ai]++; 23 | 24 | int ans = (cnt[0] & 1); 25 | for (int i = 1; i < L + 30; i++) { 26 | cnt[i] += cnt[i - 1] >> 1; 27 | if (cnt[i] & 1) ans++; 28 | } 29 | return ans; 30 | } -------------------------------------------------------------------------------- /prisonBreak.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | IITR Razorpay 2018 3 | 4 | Consider a prison gate having N horizontal rods and M vertical rods. 5 | You are also provided with two vectors hor and ver containing the 6 | row number of missing horizontal rods and vertical rods respectively. 7 | Return the area of biggest hole in the prison gate. 8 | 9 | 1 <= N, M <= 1000000 10 | 1 <= hor[i] <= N 11 | 1 <= ver[i] <= M 12 | All the elements of a vector are distinct 13 | 14 | O(N + M) 15 | 16 | SKIPPING... O(AlogA + BlogB) where A = hor.size() and B = ver.size() 17 | */ 18 | #include 19 | using namespace std; 20 | 21 | long int prison(int n, int m, vector hor, vector ver) { 22 | vector xs(n + 1), ys(m + 1); 23 | for (int h : hor) xs[h] = true; 24 | for (int v : ver) ys[v] = true; 25 | int xm = 0, ym = 0; 26 | for (int i = 1, j = 0; i <= n; i++) { 27 | if (not xs[i]) j = 0; 28 | else xm = max(xm, ++j); 29 | } 30 | for (int i = 1, j = 0; i <= m; i++) { 31 | if (not ys[i]) j = 0; 32 | else ym = max(ym, ++j); 33 | } 34 | return (long int)(xm + 1) * (ym + 1); 35 | } 36 | 37 | int main() { 38 | cout << prison(10, 10, {}, {}); 39 | return 0; 40 | } 41 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Introduction 2 | 3 | This repo contains coding problems previously appeared in online campus placement tests across IITs, NITs, and other top engineering colleges in India. 4 | 5 | # Template 6 | 7 | Each file is structured as follows: 8 | - There is a commented block at the top which has following informations in order 9 | - First line is Company name, college name, and year of appearance of the problem 10 | - Next block of lines clearly explains the Problem Statement 11 | - Next block of lines contains relevant constraints on input variables as appeared in the PS 12 | - Next block of lines (optional) explains the approach used to solve the problem 13 | - Last line (optional) mentions the runtime and/or space complexity of the approach used 14 | - Then follows a working solution to the mentioned problem in any language, mostly `C++`. Other preferred languages are `Java` and `Python`. 15 | - Whenever applicable, external links are provided in the commented block relevant to the problem or solution approach. 16 | 17 | # Contributing 18 | 19 | Please read the [Contribution](.github/CONTRIBUTING.md) page and add any relevant problems as a contributor. -------------------------------------------------------------------------------- /minRectArea.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Flipkart IIT Kanpur 2018 3 | 4 | Given two vectors of length n representing the x and y 5 | coordinates of cartesian points, find the minimum possible area 6 | of a rectangle which can be formed using four distinct points which has sides parallel to the x & y axis. 7 | If non rectangle can be formed, return -1. 8 | 9 | 1 <= n <= 1000 10 | */ 11 | #include 12 | using namespace std; 13 | #define int long long 14 | 15 | const int INF = 1E15; 16 | int getMinArea(vector x, vector y) { 17 | map, set> m; 18 | int n = x.size(); 19 | for (int i = 0; i < n; i++) { 20 | for (int j = 0; j < i; j++) { 21 | if (x[i] == x[j]) { 22 | m[{min(y[i], y[j]), max(y[i], y[j])}].insert(x[i]); 23 | } 24 | } 25 | } 26 | 27 | int ans = INF; 28 | for (auto &p : m) { 29 | int a = p.first.second - p.first.first; 30 | vector xs(p.second.begin(), p.second.end()); 31 | int sz = xs.size(); 32 | for (int i = 1; i < sz; i++) { 33 | ans = min(ans, a * (xs[i] - xs[i - 1])); 34 | } 35 | } 36 | return (ans < INF ? ans : -1); 37 | } 38 | 39 | signed main() { 40 | cout << getMinArea( 41 | {1,1,2,2,3,3,4,4}, 42 | {1,3,1,8,1,8,1,3} 43 | ) << '\n'; 44 | return 0; 45 | } 46 | -------------------------------------------------------------------------------- /special binary string.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | 3 | CITRIX IIT Guwahti 2019 4 | 5 | Special binary strings are binary strings with the following two properties: 6 | 7 | The number of 0's is equal to the number of 1's. 8 | Every prefix of the binary string has at least as many 1's as 0's. 9 | Given a special string S, a move consists of choosing two consecutive, non-empty, 10 | special substrings of S, and swapping them. (Two strings are consecutive if the last 11 | character of the first string is exactly one index before the first character of the second string.) 12 | 13 | At the end of any number of moves, what is the lexicographically largest resulting string possible? 14 | 15 | */ 16 | 17 | string makeLargestSpecial(string S) { 18 | int i=0, count=0; 19 | vector res; 20 | for(int j=0;j()); 32 | 33 | string r = ""; 34 | for(auto s:res){ 35 | r+=s; 36 | } 37 | return r; 38 | } 39 | -------------------------------------------------------------------------------- /huffmanDecode.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | BNY Mellon IITK 2018 3 | 4 | Given an encoded string and the Huffman codes for each character, print the 5 | decoded string. Huffman codes are provided as an array of strings where the key- 6 | value pair are separated by a tab and appear as an array element. It is ensured 7 | that the key will be a character and value will be a binary string. 8 | 9 | average O(n) space and time 10 | Replacing unordered_map with map gives O(n log n) time and O(n) space 11 | */ 12 | #include 13 | #include 14 | #include 15 | #include 16 | using namespace std; 17 | 18 | string huffmanDecode(vector codes, string encoded) { 19 | int n = codes.size(); 20 | unordered_map ids; 21 | for (int i = 0; i < n; i++) { 22 | char key = codes[i][0]; 23 | string val = codes[i].substr(2); 24 | ids[val] = key; 25 | } 26 | string decoded = "", cur = ""; 27 | for (char c : encoded) { 28 | cur += c; 29 | if (ids.find(cur) != ids.end()) { 30 | decoded += ids[cur]; 31 | cur = ""; 32 | } 33 | } 34 | if (cur != "") { 35 | decoded += ids[cur]; 36 | } 37 | return decoded; 38 | } 39 | 40 | int main() { 41 | // Driver Program to test above function 42 | assert(huffmanDecode( 43 | {"a\t01", "b\t110", "c\t101", "d\t0010", "\n\t1111"}, 44 | "1100010110111101") == "bdb\na"); 45 | return 0; 46 | } -------------------------------------------------------------------------------- /energyDifference.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Samsung Delhi IITD 2018 3 | 4 | Initially you have H amount of energy and D distance to travel. You may travel 5 | with any of the given 5 speeds. But you may only travel in units of 1 km. For 6 | each km distance traveled, you will spend corresponding amount of energy. 7 | e.g. the given speeds are: 8 | 9 | Cost of traveling 1 km: [4, 5, 2, 3, 6] 10 | Time taken to travel 1 km: [200, 210, 230, 235, 215] 11 | 12 | Find minimum time required to cover total D km with remaining H >= 0 13 | 14 | 1 <= H <= 4000 15 | 1 <= D <= 1000 16 | */ 17 | 18 | #include 19 | using namespace std; 20 | const int INF = 2E9; 21 | 22 | int dp[4040][1010][5]; 23 | inline int fun(int i, int j, int k, vector &a, vector &b) { 24 | if (i < 0) return INF; 25 | if (j == 0) return 0; 26 | if (k < 0) return INF; 27 | if (dp[i][j][k] != -1) return dp[i][j][k]; 28 | return dp[i][j][k] = min(fun(i, j, k - 1, a, b), b[k] + fun(i - a[k], j - 1, k, a, b)); 29 | } 30 | 31 | int getMinTime(vector &cost, vector &time, int H, int D) { 32 | memset(dp, -1, sizeof dp); 33 | return fun(H, D, 4, cost, time); 34 | } 35 | 36 | int main() { 37 | int t (14); 38 | vector cost {4, 5, 2, 3, 6}; 39 | vector time {200, 210, 230, 235, 215}; 40 | cout << getMinTime(cost, time, t, 4); 41 | return 0; 42 | } 43 | 44 | /* Verify for the following t values.. 45 | * 46 | * t = 16, 17, … -> 800 47 | * t = 14, 15 -> 830 48 | * t = 13 -> 860 49 | */ -------------------------------------------------------------------------------- /consecutivePrimes.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | IITR Flipkart 2018 3 | 4 | Given an array A of N integers, return the length of maximum 5 | subarray where all the elements are prime. It is known that 6 | the difference between the smallest and largest element of 7 | the array is less than or equal to 10^6. 8 | 9 | 1 <= N <= 10^5 10 | 1 <= A_i <= 10^9 11 | max{mod(A_i - A_j)} <= 10^6 for all 1 <= i, j <= N 12 | 13 | O(K * log K + N) where K is the difference between minimum 14 | and maximum element 15 | */ 16 | 17 | #include 18 | using namespace std; 19 | 20 | const int size = 1E9; 21 | int consecutiveprimes(vector a) { 22 | int n = a.size(); 23 | int mi = a[0], ma = a[0]; 24 | for (int &ai : a) { 25 | if (mi > ai) mi = ai; 26 | if (ma < ai) ma = ai; 27 | } 28 | vector notp(ma - mi + 1); 29 | for (int p = 2; p * p <= ma; p++) { 30 | int i = max(2, mi / p) * p; 31 | while (i < mi) i += p; 32 | while (i <= ma) { 33 | notp[i - mi] = 1; 34 | i += p; 35 | } 36 | } 37 | int cnt = 0, i = 0; 38 | for (int &ai : a) { 39 | assert(ai >= mi); 40 | assert(notp[ai - mi] xor (10001 <= i and i <= 40000)); 41 | ai = (ai > 1 and not notp[ai - mi]); 42 | if (ai) cnt++; 43 | i++; 44 | } 45 | int consec = 0, cur = 0; 46 | for (int &ai : a) { 47 | if (not ai) cur = 0; 48 | else consec = max(consec, ++cur); 49 | } 50 | return consec; 51 | } 52 | 53 | 54 | int main() { 55 | int n; cin >> n; 56 | vector a(n); 57 | for (int i = 0; i < n; i++) { 58 | cin >> a[i]; 59 | } 60 | cout << consecutiveprimes(a) << '\n'; 61 | return 0; 62 | } 63 | -------------------------------------------------------------------------------- /minCostOddPrimeSum.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Walmart Labs IITG 2018 3 | 4 | Following operations are defined: 5 | 1. X -> X + 1 6 | 2. X -> X - 1 7 | Cost of operation 1 and 2 are cost_inc and cost_dec respectively. Given a number 8 | N, find the minimum cost to reach a number M such that M can be represented as a 9 | sum of two different single-digit odd prime numbers with positive powers. 10 | 11 | O(k*logn) where k is very small. For n <= 1E8, there are less than 500 possible M 12 | */ 13 | #include 14 | int minCostOddPrimeSum(int n, int cost_dec, int cost_inc) { 15 | const int N = 1E6; // N represents the upper bound on input n. Adjust. 16 | const int LIM = 2 * N + 10; 17 | 18 | std::set st; 19 | for (int p : {3, 5, 7}) { 20 | for (int q : {3, 5, 7}) { 21 | if (p <= q) continue; 22 | // p^i + q^j 23 | int pi = p; 24 | while (pi <= LIM) { 25 | int qj = q; 26 | while (pi + qj <= LIM) { 27 | st.insert(pi + qj); 28 | qj *= q; 29 | } 30 | pi *= p; 31 | } 32 | } 33 | } 34 | 35 | int lo = 0, hi; 36 | for (int x : st) { 37 | if (x == n) { 38 | return 0; 39 | } 40 | 41 | if (x < n) { 42 | lo = x; 43 | } 44 | else { 45 | hi = x; 46 | break; 47 | } 48 | } 49 | 50 | int ans = (hi - n) * cost_inc; 51 | int ans1 = (n - lo) * cost_dec; 52 | if (lo and ans > ans1) ans = ans1; 53 | return ans; 54 | } -------------------------------------------------------------------------------- /travelingIsFun.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Flipkart IIT Kanpur 2018 3 | 4 | https://www.hackerrank.com/contests/hack-it-to-win-it-paypal/challenges/q4-traveling-is-fun 5 | */ 6 | 7 | #include 8 | using namespace std; 9 | #define int long long 10 | 11 | struct dsu { 12 | vector par, sz; 13 | dsu(int n): par(n), sz(n, 1) { 14 | for (int i = 0; i < n; i++) { 15 | par[i] = i; 16 | } 17 | } 18 | int root(int a) { 19 | if (a == par[a]) return a; 20 | return par[a] = root(par[a]); 21 | } 22 | void merge(int a, int b) { 23 | a = root(a); 24 | b = root(b); 25 | if (a == b) return; 26 | if (sz[a] < sz[b]) swap(a, b); 27 | sz[a] += sz[b]; 28 | par[b] = a; 29 | } 30 | }; 31 | 32 | vector findReachable(int n, int g, vector from, vector to) { 33 | dsu d(n); 34 | for (int k = g + 1; k <= n; k++) { 35 | for (int x = 2 * k; x <= n; x += k) { 36 | d.merge(x - 1, x - k - 1); 37 | } 38 | } 39 | 40 | int m = from.size(); 41 | vector ans; 42 | for (int i = 0; i < m; i++) { 43 | ans.push_back(d.root(from[i] - 1) == d.root(to[i] - 1)); 44 | } 45 | return ans; 46 | } 47 | 48 | signed main() { 49 | vector from {10, 4, 3, 6}; 50 | vector to {3, 6, 2, 9}; 51 | vector reachable = findReachable(10, 1, from, to); 52 | for (int i = 0; i < 4; i++) { 53 | cout << "From " << from[i] << " to " << to[i] << ": "; 54 | cout << (reachable[i] ? "Possible" : "Not possible") << '\n'; 55 | } 56 | return 0; 57 | } -------------------------------------------------------------------------------- /nutanixSportsMeet.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Nutanix IISc 2018 3 | 4 | Given destination x = M, initial positions of participants x[1], x[2], .. x[N], 5 | and constant speeds of participants y[1], y[2], .. y[N], the race goes on in a 6 | single line formation such that noone can overtake someone else. Hence, if a 7 | person with higher speed meets another person with a lower speed during the race 8 | then he starts moving at the lower speed for rest of the race. 9 | 10 | Find the number of groups that will reach the destination. If two people meet 11 | at the destination, they are also assumed to form a group. 12 | 13 | 1 <= #testcases <= 10 14 | 0 <= N <= 10^5 15 | 1 <= M <= 10^6 16 | 1 <= x[i] < M 17 | 1 <= y[i] <= 10^6 18 | 19 | All x[i] are guaranteed to be different. 20 | 21 | O(n log n) 22 | */ 23 | 24 | #include 25 | using namespace std; 26 | const double eps = 1E-12; 27 | 28 | int main() { 29 | int t; cin >> t; 30 | while (t--) { 31 | int n, m; cin >> n >> m; 32 | vector x(n); 33 | for (int i = 0; i < n; i++) { 34 | cin >> x[i]; 35 | } 36 | 37 | vector> xts; 38 | for (int i = 0; i < n; i++) { 39 | double yi; cin >> yi; 40 | xts.emplace_back(-x[i], (m - x[i]) / yi); 41 | } 42 | sort(xts.begin(), xts.end()); 43 | 44 | int ans = 0; 45 | double cur = 0; 46 | for (auto xt : xts) { 47 | if (xt.second > cur + eps) { 48 | cur = xt.second; 49 | ans++; 50 | } 51 | } 52 | cout << ans << '\n'; 53 | } 54 | } -------------------------------------------------------------------------------- /circularSubstring.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Given a source string and a target string, find the minimum length of a circular 3 | substring of the source string which contains the target string. If no such 4 | substring exists, return -1. Circular substring means any substring of the 5 | rotated source string. 6 | 7 | For e.g. if source string is "shit" then all circular strings will be 8 | {"shit", "hits", "itsh", "tshi"}. String x contains string y if all characters 9 | appear at least the same number of times in x as it appears in y. 10 | 11 | E.g. for source "kecrha" and target "ack", the best possible answer can be for 12 | the circular string "hakecr" where the relevant substring is "akec" containing 13 | "ack". Hence the final answer is 4 14 | 15 | 1 <= length of strings <= 100000 16 | O(N + 26) solution 17 | */ 18 | 19 | #include 20 | using namespace std; 21 | 22 | int CircularSubstring(string source, string target) { 23 | int n = source.size(); 24 | source += source; 25 | 26 | int a[26] = {}, nz = 0; 27 | for (char c : target) { 28 | if (not a[c - 'a']++) { 29 | nz++; 30 | } 31 | } 32 | 33 | int min_len = 2 * n; 34 | for (int i = 0, j = 0; i < 2 * n; i++) { 35 | if (not --a[source[i] - 'a']) { 36 | nz--; 37 | } 38 | while (a[source[j] - 'a'] < 0) { 39 | a[source[j++] - 'a']++; 40 | } 41 | if (not nz) { 42 | min_len = min(min_len, i - j + 1); 43 | } 44 | } 45 | return min_len > n ? -1 : min_len; 46 | } 47 | 48 | int main() { 49 | // your code goes here 50 | cout << CircularSubstring("kecrha", "ack") << '\n'; 51 | return 0; 52 | } -------------------------------------------------------------------------------- /.github/CONTRIBUTING.md: -------------------------------------------------------------------------------- 1 | # Contributing 2 | 3 | When contributing to this repository, please first discuss the change you wish to make via issue, 4 | email, or any other method with the owners of this repository before making a change. 5 | 6 | Please note we have a code of conduct, please follow it in all your interactions with the project. 7 | 8 | ## Steps before creating a Pull request 9 | 10 | 1. Please check the [template](../README.md#template) and adhere to the specific format in your submitted file 11 | 2. Please try to write clean and indented code. Sparsely occuring concise comments are also fine but not mandatory 12 | 3. Please ensure that the commit message follows the following format - Company name, College name, Year 13 | 4. Please ensure that the filename describes the problem statement as clearly as possible 14 | 15 | ## Contributing workflow 16 | 17 | Here’s how we suggest you go about proposing a change to this project: 18 | 19 | 1. [Fork this project][fork] to your account. 20 | 2. [Create a branch][branch] for the change you intend to make. 21 | 3. Make your changes to your fork adhereing to the [guidelines][pull] above. 22 | 4. [Send a pull request][pr] from your fork’s branch to our `master` branch. 23 | 24 | Using the web-based interface to make changes is fine too, and will help you by automatically 25 | forking the project and prompting to send a pull request too. 26 | 27 | [run]: https://www.cs.cmu.edu/~adamchik/15-121/lectures/Algorithmic%20Complexity/complexity.html 28 | [fork]: https://help.github.com/articles/fork-a-repo/ 29 | [branch]: https://help.github.com/articles/creating-and-deleting-branches-within-your-repository 30 | [pull]: #steps-before-creating-a-pull-request 31 | [pr]: https://help.github.com/articles/using-pull-requests/ -------------------------------------------------------------------------------- /superStack.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Fractal Analytics IITK 2018 3 | 4 | Maintain a stack which can handle the following operations: 5 | 6 | "push k": Push k at the top of stack 7 | "pop": Remove the topmost element from the stack 8 | "inc e k": Add k to the bottom e elements of the stack 9 | 10 | pop is never called on an empty stack. 11 | 12 | Given a vector of strings where each string is an operation as 13 | defined above, print the top element after every operation. If 14 | the stack is empty at some point, print "EMPTY" instead. 15 | 16 | 1 <= #operations <= 1E5 17 | 1 <= k <= size of stack at the time of operation 18 | */ 19 | #include 20 | using namespace std; 21 | 22 | void superStack(vector ops) { 23 | int n = ops.size(); 24 | vector a(n), b(n); 25 | 26 | int k = 0; 27 | for (string op : ops) { 28 | stringstream strin(op); 29 | 30 | string optype; 31 | strin >> optype; 32 | if (optype == "push") { 33 | int x; 34 | strin >> x; 35 | a[k++] = x; 36 | } 37 | if (optype == "pop") { 38 | if (--k) b[k - 1] += b[k]; 39 | b[k] = 0; 40 | } 41 | if (optype == "inc") { 42 | int x, y; 43 | strin >> x >> y; 44 | b[x - 1] += y; 45 | } 46 | 47 | if (not k) { 48 | cout << "EMPTY"; 49 | } 50 | else { 51 | cout << a[k - 1] + b[k - 1]; 52 | } 53 | cout << " "; 54 | } 55 | } 56 | 57 | int main() { 58 | vector operations = { 59 | "push 4", "pop", "push 3", "push 5", "inc 2 1", 60 | "pop", "push 5", "push -1", "inc 1 5", "pop" 61 | }; 62 | superStack(operations); 63 | return 0; 64 | } -------------------------------------------------------------------------------- /Find Number of pairs.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | BNY Mellon IITK 2018 3 | 4 | Given N, find the number of ordered pairs of positive integers (x,y) satisfying 5 | the following relation: 6 | 1/x + 1/y = 1/N! 7 | 8 | 0 <= N <= 100000 9 | time O(N * log log N) 10 | space O(N) 11 | */ 12 | #include 13 | #include 14 | using namespace std; 15 | /* 16 | * Let k = N!. We solve for general 1/x + 1/y = 1/k 17 | * 18 | * x, y > 0 hence x, y > k. Let 19 | * p = #ordered pairs where x=y 20 | * q = #ordered pairs where xy 22 | * 23 | * Clearly, p = 1 and q = r. Our final answer becomes 1 + 2q. Let’s solve for q 24 | * 25 | * Since x < y, we get x ∊ (k, 2k). Also, y = x * k / (x - k) 26 | * 27 | * Let x’ = x - k. Then x’ ∊ (0, k) and y = (x’ + k) * k / x’ is an integer 28 | * greater than x. Hence, x’ divides k^2 and x ∊ (0, 2k) which is already true 29 | * 30 | * It means there exists a pair of type (ii) corresponding to x’ ∊ (0, k) 31 | * whenever x’ divides k^2. Hence q = #divisors of k^2 less than k 32 | * 33 | * Hence final answer becomes #divisors of k^2. Recall k = N! 34 | */ 35 | const int mod = 1E9 + 7; 36 | 37 | int main() { 38 | int n; cin >> n; 39 | int ans = 1; 40 | vector isprime(n + 1, true); 41 | for (int i = 2; i <= n; i++) { 42 | // check if prime 43 | if (isprime[i]) { 44 | // mark all multiples non-prime 45 | for (int imul = 2 * i; imul <= n; imul += i) { 46 | isprime[imul] = false; 47 | } 48 | // update ans 49 | int ncopy = n, ipower = 0; 50 | while (ncopy) ipower += ncopy /= i; 51 | ans = (1LL + 2 * ipower) * ans % mod; 52 | } 53 | } 54 | cout << ans; 55 | return 0; 56 | } 57 | -------------------------------------------------------------------------------- /Palindrome And Substring.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Walmart Labs IIT Dhanbad 2018 3 | 4 | Given strings A and B, find the minimum number of manipulation done in string A 5 | to achieve the following: 6 | 1. A is a palindrome 7 | 2. B is a substring in A 8 | Here manipulation is defined as changing a character to some other character 9 | 10 | 1 <= String Lengths <= 5000 11 | O(N^2) 12 | */ 13 | 14 | #include 15 | using namespace std; 16 | 17 | int palSubstring(string &a, string &b) { 18 | int n = a.size(), m = b.size(); 19 | 20 | int ans = n + 1; 21 | for (int i = 0; i <= n - m; i++) { 22 | // Assuming A[i .. i + m - 1] is equal to B 23 | int cost = 0, error = 0; 24 | 25 | string s = a; 26 | for (int j = 0; j < m; j++) { 27 | if (s[i + j] != b[j]) { 28 | s[i + j] = b[j]; 29 | cost++; 30 | } 31 | } 32 | 33 | for (int j = 0; j < n / 2; j++) { 34 | if (s[j] != s[n - 1 - j]) { 35 | // ensure that at least one of the characters is modifiable 36 | // j < i or n - 1 - j > i + m - 1 37 | if (j < max(i, n - m - i)) cost++; 38 | else error++; 39 | } 40 | } 41 | 42 | if (ans > cost and not error) { 43 | ans = cost; 44 | } 45 | } 46 | return (ans > n ? -1 : ans); 47 | } 48 | 49 | int main() { 50 | int t; cin >> t; 51 | while (t--) { 52 | string a, b; cin >> a >> b; 53 | cout << palSubstring(a, b) << '\n'; 54 | } 55 | return 0; 56 | } 57 | 58 | /* 59 | SAMPLE INPUT: 60 | 7 61 | xycdabyx abcd 62 | acba abc 63 | abcba abc 64 | aaaa bbb 65 | aa ab 66 | aba c 67 | abba c 68 | 69 | SAMPLE OUTPUT: 70 | 6 71 | -1 72 | 0 73 | 4 74 | -1 75 | 1 76 | 2 77 | */ -------------------------------------------------------------------------------- /turnstile.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Rivigo IITK 2018 3 | 4 | There is a gate in an amusement park. There is an entrance queue and an exit queue. 5 | Given two arrays of length n, time[] and direction[] such that time[i] represents 6 | the time when person_i reaches the gate and direction[i] represents whether the 7 | person is joining the entrance queue or exit queue, output an array timestamp[] 8 | of length n such that timestamp[i] represents the time when person_i crosses the 9 | gate. The gate operates as follows: 10 | 11 | If the gate was used at time t - 1 for entrance, then entry queue will be preferred. 12 | Else If the gate was used at time t - 1 for exit, then exit queue will be preferred. 13 | Else exit queue will be preferred. 14 | 15 | 1 <= n <= 10^5 16 | 1 <= time[i] <= 10^9 17 | time[i] <= time[i+1] 18 | direction[i] = 0 means entrance, direction[i] = 1 means exit. 19 | 20 | O(n) 21 | */ 22 | vector getTimeStamps(vector time, vector dir) { 23 | int n = time.size(); 24 | time.push_back(1E9 + 1E6); 25 | vector out(n); 26 | queue q[2]; // enter(0), exit(1) 27 | for (int i = 0, t = time[0], fl = -1; i < n; i++) { 28 | q[dir[i]].push(i); 29 | while (t < time[i + 1]) { 30 | if (not q[0].empty() and not fl) { 31 | out[q[0].front()] = t++; 32 | q[0].pop(); 33 | fl = 0; 34 | } 35 | else if (not q[1].empty()) { 36 | out[q[1].front()] = t++; 37 | q[1].pop(); 38 | fl = 1; 39 | } 40 | else if (not q[0].empty()) { 41 | out[q[0].front()] = t++; 42 | q[0].pop(); 43 | fl = 0; 44 | } 45 | else { 46 | t = time[i + 1]; 47 | fl = -1; 48 | } 49 | } 50 | } 51 | return out; 52 | } -------------------------------------------------------------------------------- /findTheShape.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Nutanix IITD 2018 3 | 4 | We are given the inorder and postorder traversal of a Binary tree. The data in 5 | the nodes are alphanumeric characters. Had to classify the tree shape into one 6 | of the following types: 7 | 8 | / (forward slash) if the shape of tree is like a forward slash 9 | \ (Backward slash) if the shape is like a backward slash 10 | < (less than) if the tree shape is like 11 | > (greater than) 12 | ^ (exponent symbol) if the shape of tree is like 13 | # (hash) if none of the above 14 | 15 | Below figures are for further clarity (a, b, c represent nodes) : 16 | 17 | a a a a 18 | / \ / \ a 19 | (/) b (\) b (<) b (>) b (^) / \ (#) all other 20 | / \ \ / b c 21 | c c c c 22 | */ 23 | #include 24 | #include 25 | using namespace std; 26 | 27 | bool check(string s, string t) { // O(n^2) 28 | // >T .. > s >> t; 41 | string sr(s); reverse(sr.begin(), sr.end()); 42 | string tr(t); reverse(tr.begin(), tr.end()); 43 | if (s == t) return "/"; // T .. T 44 | if (s == tr) return "\\"; // > .. < 45 | if (check(s, t)) return "<"; // >T .. "; // >T .. T< 47 | if (check(sr, tr)) return "^"; // T> .. T< 48 | return "#"; // else 49 | } 50 | 51 | int main() { 52 | // your code goes here 53 | int t; cin >> t; 54 | while (t--) { 55 | cout << solve() << '\n'; 56 | } 57 | return 0; 58 | } -------------------------------------------------------------------------------- /killingZombies.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Nutanix IISc 2018 3 | https://www.codechef.com/problems/CLKLZM 4 | 5 | O(n + m log m) 6 | */ 7 | 8 | #include 9 | using namespace std; 10 | #define int long long 11 | 12 | signed main() { 13 | // your code goes here 14 | ios_base::sync_with_stdio(false); cin.tie(NULL); 15 | int cases; cin >> cases; 16 | while (cases--) { 17 | int n, m; cin >> n >> m; 18 | 19 | vector a(n); 20 | for (int i = 0; i < n; i++) { 21 | cin >> a[i]; 22 | } 23 | 24 | vector,int>> b(m); 25 | for (int i = 0; i < m; i++) { 26 | int l, r, k; cin >> l >> r >> k; 27 | b[i] = {{l - 1, r - 1}, k}; 28 | } 29 | sort(b.begin(), b.end(), [](pair,int> l, pair,int> r) { 30 | if (l.first.first == r.first.first) return l.first.second > r.first.second; 31 | return l.first.first < r.first.first; 32 | }); 33 | 34 | vector c(n); 35 | int j = 0, ext = 0, ans = 0, fl = 0; 36 | priority_queue> q; 37 | for (int i = 0; i < n; i++) { 38 | a[i] -= ext; 39 | 40 | while (j < m and b[j].first.first <= i) { 41 | q.push({b[j].first.second, b[j].second}); 42 | j++; 43 | } 44 | 45 | int r, k; 46 | while (a[i] > 0 and not q.empty()) { 47 | tie(r, k) = q.top(); q.pop(); 48 | if (r < i) continue; 49 | 50 | if (k <= a[i]) { 51 | ans += k; 52 | ext += k; 53 | c[r] += k; 54 | a[i] -= k; 55 | } 56 | else { 57 | ans += a[i]; 58 | ext += a[i]; 59 | c[r] += a[i]; 60 | q.push({r, k - a[i]}); 61 | a[i] = 0; 62 | } 63 | } 64 | 65 | if (a[i] > 0) { 66 | fl = 1; 67 | break; 68 | } 69 | ext -= c[i]; 70 | } 71 | if (fl) cout << "NO"; 72 | else cout << "YES " << ans; 73 | cout << '\n'; 74 | } 75 | return 0; 76 | } -------------------------------------------------------------------------------- /scientificFarmer.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Cohesity : IITD 3 | Scientific_Farmer: 4 | 5 | Harry Stine is one of the wealthiest farmers in the world (net worth of $3.5 billion). Stine is known as a math wiz 6 | and adopts unique practices when planting seeds and harvesting crops. For instance, his fields are always arranged 7 | in a circular layout to promote better pollination, e.g., if there are n fields, then the 1st field and the nth field are 8 | adjacent to each other. Also, his crop harvester machines never harvest two adjacent fields on the same day to 9 | minimize damage to standing crops. Each field produces a certain yield (value) of crops. Given a list of non-negative 10 | integers representing the yield of each field, determine the maximum yield of crops that Harry can harvest in a day. 11 | 12 | ==> Maximum sum in circular array such that no two elements are adjacent 13 | Solution Approach: 14 | recursive solution with memoization 15 | 16 | recurse(idx,prev,frst) 17 | we are at index = idx, we need to decice whether to take 18 | a[idx] or not. prev indicates a[idx - 1] is taken or not 19 | frst == 1 : a[1] is taken 20 | frst == 0 : a[1] is not taken 21 | 22 | few examples: from other sources: 23 | 24 | 3 25 | 4 2 3 26 | => 4 27 | 28 | 4 29 | 1 2 3 1 30 | => 4 31 | 32 | 6 33 | 1 2 3 4 5 1 34 | => 9 35 | 36 | */ 37 | 38 | #include 39 | using namespace std; 40 | int n; 41 | int dp[100009][2][2]; 42 | int a[100009]; 43 | 44 | int recurse(int idx,bool prev,bool frst) { 45 | if(idx == n) { 46 | if(!prev and !frst) { 47 | return a[idx]; 48 | }else { 49 | return 0; 50 | } 51 | } 52 | if(dp[idx][prev][frst] != -1) return dp[idx][prev][frst]; 53 | int res = 0; // all numbers are non negative 54 | if(prev == false) { 55 | // take a[idx] 56 | res = max(res,recurse(idx+1,true,frst) + a[idx]); 57 | // not take a[idx] 58 | res = max(res,recurse(idx+1,false,frst)); 59 | }else { 60 | // not take a[idx] 61 | res = max(res,recurse(idx+1,false,frst)); 62 | } 63 | return dp[idx][prev][frst] = res; 64 | } 65 | 66 | int main() { 67 | cin >> n; 68 | for(int idx = 1;idx<=n;idx++) { 69 | cin >> a[idx]; 70 | } 71 | memset(dp,-1,sizeof dp); 72 | // call two times 73 | // once not taking the first element 74 | // once taking the first element 75 | int res = max(recurse(2,false,false) , recurse(2,true,true) + a[1]); 76 | cout << res << endl; 77 | } -------------------------------------------------------------------------------- /maxCoins.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | Flipkart IIT Kanpur 2018 3 | 4 | Given a limited number of coins of denominations 1, 5, 10, and 25 5 | as p, q, r, and s respectively, return the maximum number of coins 6 | which can be used to reach a target "price", if possible. 7 | 8 | Your function should return a vector of length 4 representing the 9 | number of coins used for the denominations 1, 5, 10, 25 respectively. 10 | If no solution is possible, return a vector of 0s. 11 | 12 | 0 <= price, p, q, r, s <= 100000 13 | */ 14 | #include 15 | using namespace std; 16 | #define int long long 17 | 18 | vector dummy(4); 19 | vector greedy(int price, int p, int q, int r, int s) { 20 | if (price <= p) return {price, 0, 0, 0}; 21 | price -= p; 22 | 23 | if (price <= 5 * q) { 24 | if (price % 5 == 0) return {p, price / 5, 0, 0}; 25 | return dummy; 26 | } 27 | price -= 5 * q; 28 | 29 | if (price <= 10 * r) { 30 | if (price % 10 == 0) return {p, q, price / 10, 0}; 31 | return dummy; 32 | } 33 | price -= 10 * r; 34 | 35 | if (price <= 25 * s) { 36 | if (price % 25 == 0) return {p, q, r, price / 25}; 37 | return dummy; 38 | } 39 | 40 | return dummy; 41 | } 42 | 43 | vector getMaxCoins(int price, int p, int q, int r, int s) { 44 | // Max wastage: 1.. 25; 5.. 5; 10.. 3 45 | map>> mp; 46 | for (int i = 0; i <= 25; i++) { 47 | for (int j = 0; j <= 5; j++) { 48 | for (int k = 0; k <= 3; k++) { 49 | if (p >= i and q >= j and r >= k) { 50 | auto counts = greedy(price, p - i, q - j, r - k, s); 51 | if (counts != dummy) { 52 | int count = 0; 53 | for (int c : counts) { 54 | count += c; 55 | } 56 | mp[-count].insert(counts); 57 | } 58 | } 59 | } 60 | } 61 | } 62 | if (mp.empty()) return dummy; 63 | auto feasible = mp.begin()->second; 64 | if (feasible.empty()) return dummy; 65 | return *feasible.begin(); 66 | } 67 | 68 | signed main() { 69 | int denominations[] = {1, 5, 10, 25}; 70 | vector counts = getMaxCoins(99, 98, 0, 0, 1); 71 | 72 | for (int i = 0; i < 4; i++) { 73 | cout << "Number of coins of denomination " << denominations[i] << " = " << counts[i] << '\n'; 74 | } 75 | return 0; 76 | } -------------------------------------------------------------------------------- /.github/CODE_OF_CONDUCT.md: -------------------------------------------------------------------------------- 1 | # Contributor Covenant Code of Conduct 2 | 3 | ## Our Pledge 4 | 5 | In the interest of fostering an open and welcoming environment, we as 6 | contributors and maintainers pledge to making participation in our project and 7 | our community a harassment-free experience for everyone, regardless of age, body 8 | size, disability, ethnicity, sex characteristics, gender identity and expression, 9 | level of experience, education, socio-economic status, nationality, personal 10 | appearance, race, religion, or sexual identity and orientation. 11 | 12 | ## Our Standards 13 | 14 | Examples of behavior that contributes to creating a positive environment 15 | include: 16 | 17 | * Using welcoming and inclusive language 18 | * Being respectful of differing viewpoints and experiences 19 | * Gracefully accepting constructive criticism 20 | * Focusing on what is best for the community 21 | * Showing empathy towards other community members 22 | 23 | Examples of unacceptable behavior by participants include: 24 | 25 | * The use of sexualized language or imagery and unwelcome sexual attention or 26 | advances 27 | * Trolling, insulting/derogatory comments, and personal or political attacks 28 | * Public or private harassment 29 | * Publishing others' private information, such as a physical or electronic 30 | address, without explicit permission 31 | * Other conduct which could reasonably be considered inappropriate in a 32 | professional setting 33 | 34 | ## Our Responsibilities 35 | 36 | Project maintainers are responsible for clarifying the standards of acceptable 37 | behavior and are expected to take appropriate and fair corrective action in 38 | response to any instances of unacceptable behavior. 39 | 40 | Project maintainers have the right and responsibility to remove, edit, or 41 | reject comments, commits, code, wiki edits, issues, and other contributions 42 | that are not aligned to this Code of Conduct, or to ban temporarily or 43 | permanently any contributor for other behaviors that they deem inappropriate, 44 | threatening, offensive, or harmful. 45 | 46 | ## Scope 47 | 48 | This Code of Conduct applies both within project spaces and in public spaces 49 | when an individual is representing the project or its community. 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No Surrender of Others' Freedom. 541 | 542 | If conditions are imposed on you (whether by court order, agreement or 543 | otherwise) that contradict the conditions of this License, they do not 544 | excuse you from the conditions of this License. If you cannot convey a 545 | covered work so as to satisfy simultaneously your obligations under this 546 | License and any other pertinent obligations, then as a consequence you may 547 | not convey it at all. For example, if you agree to terms that obligate you 548 | to collect a royalty for further conveying from those to whom you convey 549 | the Program, the only way you could satisfy both those terms and this 550 | License would be to refrain entirely from conveying the Program. 551 | 552 | 13. Use with the GNU Affero General Public License. 553 | 554 | Notwithstanding any other provision of this License, you have 555 | permission to link or combine any covered work with a work licensed 556 | under version 3 of the GNU Affero General Public License into a single 557 | combined work, and to convey the resulting work. The terms of this 558 | License will continue to apply to the part which is the covered work, 559 | but the special requirements of the GNU Affero General Public License, 560 | section 13, concerning interaction through a network will apply to the 561 | combination as such. 562 | 563 | 14. Revised Versions of this License. 564 | 565 | The Free Software Foundation may publish revised and/or new versions of 566 | the GNU General Public License from time to time. Such new versions will 567 | be similar in spirit to the present version, but may differ in detail to 568 | address new problems or concerns. 569 | 570 | Each version is given a distinguishing version number. If the 571 | Program specifies that a certain numbered version of the GNU General 572 | Public License "or any later version" applies to it, you have the 573 | option of following the terms and conditions either of that numbered 574 | version or of any later version published by the Free Software 575 | Foundation. If the Program does not specify a version number of the 576 | GNU General Public License, you may choose any version ever published 577 | by the Free Software Foundation. 578 | 579 | If the Program specifies that a proxy can decide which future 580 | versions of the GNU General Public License can be used, that proxy's 581 | public statement of acceptance of a version permanently authorizes you 582 | to choose that version for the Program. 583 | 584 | Later license versions may give you additional or different 585 | permissions. However, no additional obligations are imposed on any 586 | author or copyright holder as a result of your choosing to follow a 587 | later version. 588 | 589 | 15. Disclaimer of Warranty. 590 | 591 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY 592 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT 593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY 594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, 595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 596 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM 597 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF 598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 599 | 600 | 16. Limitation of Liability. 601 | 602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING 603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS 604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY 605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE 606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF 607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD 608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), 609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF 610 | SUCH DAMAGES. 611 | 612 | 17. Interpretation of Sections 15 and 16. 613 | 614 | If the disclaimer of warranty and limitation of liability provided 615 | above cannot be given local legal effect according to their terms, 616 | reviewing courts shall apply local law that most closely approximates 617 | an absolute waiver of all civil liability in connection with the 618 | Program, unless a warranty or assumption of liability accompanies a 619 | copy of the Program in return for a fee. 620 | 621 | END OF TERMS AND CONDITIONS 622 | 623 | How to Apply These Terms to Your New Programs 624 | 625 | If you develop a new program, and you want it to be of the greatest 626 | possible use to the public, the best way to achieve this is to make it 627 | free software which everyone can redistribute and change under these terms. 628 | 629 | To do so, attach the following notices to the program. It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | 635 | Copyright (C) 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | Copyright (C) 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | --------------------------------------------------------------------------------