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CoIR-Retrieval

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apps-queries-corpus

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CoIR 6

d1601

train

t=int(input()) for _ in range(t): n=int(input()) arr=list(map(int,input().split())) d={} for i in range(n): if arr[i] in d: d[arr[i]].append(i) else: d[arr[i]]=[i] q=int(input()) for i in range(q): m=int(input()) if len(d[m])==1: print(n) elif len(d[m])==2: print(min((d[m][1]-d[m][0]),((n-d[m][1])+d[m][0]))) else: k=100000 for j in range(len(d[m])-1): if (d[m][j+1]-d[m][j])<k: k=d[m][j+1]-d[m][j] else: pass print(min(k,((n-d[m][len(d[m])-1])+d[m][0])))

PYTHON

d1602

train

for __ in range(int(input())): n,p=list(map(int,input().split())) d=n%(n//2+1) if(d==0): t=p*p*p else: t=(p-d)*(p-d)+(p-d)*(p-n)+(p-n)*(p-n) print(t)

PYTHON

d1603

train

for t in range(int(input().strip())): n = int(input().strip()) x = int(input().strip()) arr = list(map(int, input().strip().split())) arr.sort() day = 1 acc = 0 isPossible = True for a in arr: acc += 1 if acc > x: day += 1 acc = 1 if day >= a: isPossible = False break print("Possible" if isPossible else "Impossible")

PYTHON

d1604

train

# Bartek Kostka # You are not prepared! #include "bits/stdc++.h" n = int(input()) W = {} for i in range(n): adr = input() adr = adr.split("/") if adr[-1] == '': adr[-1] = '?' domena = "/".join(adr[:3]) adres = "/".join(adr[3:]) #print(domena, adres) if domena not in W: W[domena] = set() W[domena].add(adres) E = {} for key, ele in list(W.items()): #print(key, ele) lele = "#".join(sorted(list(ele))) if lele not in E: E[lele] = [] E[lele].append(key) res = 0 for key, ele in list(E.items()): if len(ele) > 1: res += 1 print(res) for key, ele in list(E.items()): if len(ele) > 1: print(" ".join(ele))

PYTHON

d1605

train

def getSum(dp, pos, s, e, type_): if e < s: return 0 if type_=='D': if e==m-1: return dp[pos][s] return dp[pos][s]-dp[pos][e+1] else: if e==n-1: return dp[s][pos] return dp[s][pos]-dp[e+1][pos] mod = 10**9+7 n, m = map(int, input().split()) a = [list(list(map(lambda x: 1 if x=='R' else 0, input()))) for _ in range(n)] SD = [[0]*m for _ in range(n)] SN = [[0]*m for _ in range(n)] dpD = [[0]*m for _ in range(n)] dpN = [[0]*m for _ in range(n)] for i in range(n-1, -1, -1): for j in range(m-1, -1, -1): if i == n-1: SD[i][j]=a[i][j] else: SD[i][j]=SD[i+1][j]+a[i][j] if j == m-1: SN[i][j]=a[i][j] else: SN[i][j]=SN[i][j+1]+a[i][j] for j in range(m-1,-1,-1): if a[n-1][j]==1: break dpD[n-1][j]=1 dpN[n-1][j]=1 for i in range(n-1,-1,-1): if a[i][m-1]==1: break dpD[i][m-1]=1 dpN[i][m-1]=1 for j in range(m-2, -1, -1): if i==n-1: break dpD[n-1][j]+=dpD[n-1][j+1] for i in range(n-2,-1,-1): if j==m-1: break dpN[i][m-1]+=dpN[i+1][m-1] for i in range(n-2,-1,-1): for j in range(m-2,-1,-1): s, e = j, m-SN[i][j]-1 #print(i, j, s, e, 'N') dpN[i][j] = getSum(dpD, i+1, s, e, 'D') dpN[i][j] = (dpN[i][j] + dpN[i+1][j]) % mod s, e = i, n-SD[i][j]-1 #print(i, j, s, e, 'D') dpD[i][j] = getSum(dpN, j+1, s, e, 'N') if i != 0: for j in range(m-2,-1,-1): dpD[i][j] = (dpD[i][j] + dpD[i][j+1]) % mod print(dpD[0][0] % mod)

PYTHON

d1606

train

a,b=map(int,input().split()) print(((b-1)*a*b//2+(a+1)*a*b*b*(b-1)//4)%1000000007)

PYTHON

d1607

train

l,r = map(int, input().split(" ")) if l == r: print (l) else: print (2)

PYTHON

d1608

train

s=input() ans = 0 for i in range(len(s)): if s[i] == 'A': ans += s[:i].count('Q') * s[i:].count('Q') print(ans)

PYTHON

d1609

train

def determinant(m): a = 0 if len(m) == 1: a = m[0][0] else: for n in xrange(len(m)): if (n + 1) % 2 == 0: a -= m[0][n] * determinant([o[:n] + o[n+1:] for o in m[1:]]) else: a += m[0][n] * determinant([o[:n] + o[n+1:] for o in m[1:]]) return a

PYTHON

d1610

train

def sum_of_intervals(intervals): s, top = 0, float("-inf") for a,b in sorted(intervals): if top < a: top = a if top < b: s, top = s+b-top, b return s

PYTHON

d1611

train

def subsets_parity(n, k): return 'EVEN' if ~n & k else 'ODD'

PYTHON

d1612

train

from collections import defaultdict from itertools import chain import re PARSE = re.compile(r'[pP]\d+|q') def magic_call_depth_number(prog): def parse(it, p=''): for m in it: if m[0].startswith('p'): parse(it, m[0]) elif m[0]=='q': return else: pCmds[p].append(m[0].lower()) def travel(p, seen, d=1): if not pCmds[p]: yield 0 else: for n in pCmds[p]: if n in seen: yield d else: yield from travel(n, seen|{n}, d+1) pCmds = defaultdict(list) parse(PARSE.finditer(prog)) inf = list(chain.from_iterable(travel(p, {p}) for p in pCmds[''])) return [min(inf, default=0), max(inf, default=0)]

PYTHON

d1613

train

def primeFactors(n): factors = [] while n % 2 == 0: n /= 2 factors.append(2) for i in range(3, int(n**.5) + 1,2): while n % i == 0: n /= i factors.insert(0, i) if n > 2: factors.insert(0, int(n)) return factors def score(p): last, xp, s = p[0], p[0], 0 for j in p[1:]: if j == last: xp *= j else: s += xp xp, last = j, j return (s + xp) * len(p) def prod(lst): res = 1 for v in lst: res *= v return res def multiply_partitions(partition): return [prod(sub) for sub in partition] def partition(collection): if len(collection) == 1: yield [collection] return first = collection[0] for smaller in partition(collection[1:]): for n, subset in enumerate(smaller): yield smaller[:n] + [[ first ] + subset] + smaller[n+1:] yield [ [ first ] ] + smaller def find_spec_prod_part(n, com): factors = primeFactors(n) if len(factors) == 1: return 'It is a prime number' fn = min if com == 'min' else max mplist = [] best = [factors, score(factors)] for p in partition(factors): mp = multiply_partitions(p) if mp in mplist or mp[0]==n: continue mplist.append(mp) best = fn(best, [mp, score(mp)], key=lambda x: x[1]) return [sorted(best[0], reverse=True), best[1]]

PYTHON

d1614

train

def solution(string,markers): parts = string.split('\n') for s in markers: parts = [v.split(s)[0].rstrip() for v in parts] return '\n'.join(parts)

PYTHON

d1615

train

COLUMNS, ROWS = 'ABCDEFG', range(6) LINES = [{(COLUMNS[i+k], ROWS[j]) for k in range(4)} for i in range(len(COLUMNS) - 3) for j in range(len(ROWS))] \ + [{(COLUMNS[i], ROWS[j+k]) for k in range(4)} for i in range(len(COLUMNS)) for j in range(len(ROWS) - 3)] \ + [{(COLUMNS[i+k], ROWS[j+k]) for k in range(4)} for i in range(len(COLUMNS) - 3) for j in range(len(ROWS) - 3)] \ + [{(COLUMNS[i+k], ROWS[j-k]) for k in range(4)} for i in range(len(COLUMNS) - 3) for j in range(3, len(ROWS))] def who_is_winner(pieces_positions): players = {} board = dict.fromkeys(COLUMNS, 0) for position in pieces_positions: column, player = position.split('_') pos = (column, board[column]) board[column] += 1 players.setdefault(player, set()).add(pos) if any(line <= players[player] for line in LINES): return player return "Draw"

PYTHON

d1616

train

def longest_slide_down(p): res = p.pop() while p: tmp = p.pop() res = [tmp[i] + max(res[i],res[i+1]) for i in range(len(tmp))] return res.pop()

PYTHON

d1617

train

words = {w: n for n, w in enumerate('zero one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen'.split())} words.update({w: 10 * n for n, w in enumerate('twenty thirty forty fifty sixty seventy eighty ninety hundred'.split(), 2)}) thousands = {w: 1000 ** n for n, w in enumerate('thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion'.split(), 1)} def parse_int(strng): num = group = 0 for w in strng.replace(' and ', ' ').replace('-', ' ').split(): if w == 'hundred': group *= words[w] elif w in words: group += words[w] else: num += group * thousands[w] group = 0 return num + group

PYTHON

d1618

train

from math import * DIGS = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ' def converter(n, decimals=0, base=pi): lst,n = ['-'*(n<0)], abs(n) pMax = max(0, n and int(log(n,base))) for p in reversed(range(-decimals,pMax+1)): if p==-1: lst.append('.') p = base**p d,n = n/p, n%p lst.append(DIGS[int(d)]) return ''.join(lst)

PYTHON

d1619

train

from collections import defaultdict import re P = re.compile(r'\+?(-?\d*)(x\^?)?(\d*)') def differentiate(eq, x): derivate = defaultdict(int) for coef,var,exp in P.findall(eq): exp = int(exp or var and '1' or '0') coef = int(coef!='-' and coef or coef and '-1' or '1') if exp: derivate[exp-1] += exp * coef return sum(coef * x**exp for exp,coef in derivate.items())

PYTHON

d1620

train

def decompose(n): total = 0 answer = [n] while len(answer): temp = answer.pop() total += temp ** 2 for i in range(temp - 1, 0, -1): if total - (i ** 2) >= 0: total -= i ** 2 answer.append(i) if total == 0: return sorted(answer) return None

PYTHON

d1621

train

from heapq import * def n_linear(ms, n): lst = [1] * (n+1) q = [(1+v,v,1) for v in ms] heapify(q) for i in range(1,n+1): v,x,j = heappop(q) lst[i] = v heappush(q, (lst[j]*x+1, x, j+1) ) while q[0][0]==lst[i]: v,x,j = heappop(q) heappush(q, (lst[j]*x+1, x, j+1) ) return lst[n]

PYTHON

d1622

train

def count_change(money, coins): if money<0: return 0 if money == 0: return 1 if money>0 and not coins: return 0 return count_change(money-coins[-1],coins) + count_change(money,coins[:-1])

PYTHON

d1623

train

def bowling_score(frames): rolls = list(frames.replace(' ','')) for i, hit in enumerate(rolls): if hit == 'X': rolls[i] = 10 elif hit == '/': rolls[i] = 10 - rolls[i - 1] else: rolls[i] = int(hit) score = 0 for i in range(10): frame = rolls.pop(0) if frame == 10: score += frame + rolls[0] + rolls[1] # Strike! else: frame += rolls.pop(0) score += frame if frame == 10: score += rolls[0] # Spare! return score

PYTHON

d1624

train

from fractions import Fraction as frac def ber(): res, m = [], 0 while True: res.append(frac(1, m+1)) for j in range(m, 0, -1): res[j-1] = j*(res[j-1] - res[j]) yield res[0] m += 1 def bernoulli_number(n): if n == 1: return Fraction(-1, 2) if n % 2 == 1: return 0 bn2 = [ix for ix in zip(range(n + 2), ber())] bn2 = [b for _, b in bn2] return bn2[n]

PYTHON

d1625

train

sq_cub_rev_prime = (None, 89, 271, 325, 328, 890, 1025, 1055, 1081, 1129, 1169, 1241, 2657, 2710, 3112, 3121, 3149, 3244, 3250, 3263, 3280, 3335, 3346, 3403, 4193, 4222, 4231, 4289, 4291, 5531, 5584, 5653, 5678, 5716, 5791, 5795, 5836, 5837, 8882, 8900, 8926, 8942, 9664, 9794, 9875, 9962, 10178, 10250, 10393, 10429, 10499, 10550, 10577, 10651, 10679, 10717, 10718, 10739, 10756, 10762, 10810, 10844, 10895, 10898, 10943, 10996, 11035, 11039, 11084, 11137, 11159, 11164, 11182, 11191, 11290, 11351, 11371, 11575, 11690, 11695, 11707, 11722, 11732, 11795, 11827, 11861, 11885, 12109, 12124, 12242, 12268, 12304, 12361, 12362, 12410, 12433, 12436, 12535, 19144, 19267, 19271, 19273, 19385, 19433, 19442, 19451, 19501, 19564, 19597, 19603, 19631, 19637, 19766, 19846, 19865, 19871, 19909, 19927, 26464, 26491, 26570, 26579, 26621, 26704, 26944, 26965, 27001, 27029, 27052, 27100, 27101, 31120, 31210, 31223, 31237, 31261, 31327, 31331, 31351, 31463, 31469, 31490, 31534, 31561, 31657, 31726, 31739, 31784, 31807, 31883, 31928, 31978, 32066, 32072, 32213, 32255, 32308, 32431, 32440, 32446, 32500, 32539, 32564, 32573, 32630, 32656, 32708, 32749, 32759, 32800, 32888, 32969, 33059, 33254, 33325, 33338, 33350, 33404, 33460, 33475, 33509, 33568, 33575, 33701, 33833, 34030, 34112, 34159, 34163, 41351, 41429, 41473, 41501, 41608, 41639, 41839, 41879, 41930, 41933, 41992, 42029, 42089, 42103, 42121, 42179, 42220, 42235, 42310, 42326, 42385, 42463, 42466, 42524, 42575, 42607, 42682, 42782, 42839, 42890, 42910, 42982, 43045, 43049, 54986, 54991, 55073, 55310, 55492, 55589, 55598, 55603, 55651).__getitem__

PYTHON

d1626

train

LETTERS = 'abcdefgh' # Defining some constants NUMBERS = '87654321' W, B = WB = 'Pp' EMPTY, CAPTURE = '.x' WHITEHOME = '12' BLACKHOME = '87' JUMP = '54' def pawn_move_tracker(moves): board = {letter + number : # Representing board as B if number == BLACKHOME[1] else # a dictionary for easy W if number == WHITEHOME[1] else EMPTY # access for letter in LETTERS for number in NUMBERS} whitemove = True # Move side switcher for move in moves: target = move[-2:] # Finding target mover = move[0] + str(int(move[-1]) + 1 - whitemove * 2) # Finding mover if move[-1] in JUMP[whitemove] and board[mover] == EMPTY: # Mover for the jump mover = move[0] + str(int(move[-1]) + 2 - whitemove * 4) if (move[-1] in (BLACKHOME, WHITEHOME)[whitemove] or # Is the move valid? board[target] != (EMPTY, WB[whitemove])[move[1] == CAPTURE] or board[mover] != WB[not whitemove]): return "{} is invalid".format(move) whitemove = not whitemove # Switching side board[mover] = EMPTY # Empty the source cell board[target] = WB[whitemove] # Fill the target return [[board[letter + number] for letter in LETTERS] for number in NUMBERS] # Return representation

PYTHON

d1627

train

def solve(n): def length(n): s = 0 for i in range(20): o = 10 ** i - 1 if o > n: break s += (n - o) * (n - o + 1) // 2 return s def binary_search(k): n = 0 for p in range(63, -1, -1): if length(n + 2 ** p) < k: n += 2 ** p return n def sequence(n): if n < 10: return n for i in range(1, 19): segment = i * 9 * 10 ** (i - 1) if n <= segment: return str(10 ** (i - 1) + (n - 1) // i)[(n - 1) % i] else: n -= segment return int(sequence(n - length(binary_search(n))))

PYTHON

d1628

train

l = {j:i for i,j in enumerate('0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz')} l_ = dict(enumerate('0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz')) is_polydivisible = lambda n, base:next((0 for i in range(1, len(n) + 1) if get_base(n[:i], base) % i),1) get_base = lambda n, base:sum(int(l[j]) * (base ** i) for i, j in enumerate(n[::-1])) def get_polydivisible(n, base): c = i = 0; r = '' while c < n: t = to_base(i, base) if is_polydivisible(t, base) : c += 1 ; r = t i += 1 return ''.join(r) or '0' def to_base(n, base): li = [] while n: n, b = divmod(n, base) li.append(l_[b]) return li[::-1]

PYTHON

d1629

train

def proper_fractions(n): phi = n > 1 and n for p in range(2, int(n ** .5) + 1): if not n % p: phi -= phi // p while not n % p: n //= p if n > 1: phi -= phi // n return phi

PYTHON

d1630

train

from collections import Counter def exchange_sort(sequence): """Greedy algorithm based on permutation cycle decomposition: 1. Search for transposition placing TWO elements correctly. 2. Search iteratively for transposition placing ONE elements correctly.""" swaps, cnt = 0, Counter() for a, b in zip(sequence, sorted(sequence)): if cnt[b,a] > 0: cnt[b,a] -= 1 swaps += 1 elif a != b: cnt[a,b] += 1 # Special case: as there are only three keys at most, # all remaining cycles will be 3-length cycles that # need 2 transpositions to place 3 elements correctly. return swaps + sum(cnt.values()) // 3 * 2

PYTHON

d1631

train

from functools import reduce from math import gcd def survivor(a): """Round Robin by Bocker & Liptak""" def __residue_table(a): n = [0] + [None] * (a[0] - 1) for i in range(1, len(a)): d = gcd(a[0], a[i]) for r in range(d): try: nn = min(n[q] for q in range(r, a[0], d) if n[q] is not None) except ValueError: continue for _ in range(a[0] // d): nn += a[i] p = nn % a[0] if n[p] is not None: nn = min(nn, n[p]) n[p] = nn return n a.sort() if len(a) < 1 or reduce(gcd, a) > 1: return -1 if a[0] == 1: return 0 return max(__residue_table(a)) - a[0]

PYTHON

d1632

train

def snail(array): ret = [] if array and array[0]: size = len(array) for n in range((size + 1) // 2): for x in range(n, size - n): ret.append(array[n][x]) for y in range(1 + n, size - n): ret.append(array[y][-1 - n]) for x in range(2 + n, size - n + 1): ret.append(array[-1 - n][-x]) for y in range(2 + n, size - n): ret.append(array[-y][n]) return ret

PYTHON

d1633

train

import math def count(n): if n is 0: return 0 x = int(math.log(n, 2)) return x * 2 ** (x - 1) + n - 2 ** x + 1 + count(n - 2 ** x) def countOnes(left, right): return count(right) - count(left - 1)

PYTHON

d1634

train

import re NEG, DOT, _, *DIGS = "负点 零一二三四五六七八九" POWS = " 十 百 千 万".split(' ') NUMS = {str(i):c for i,c in enumerate(DIGS)} for n in range(10): NUMS[str(n+10)] = POWS[1] + DIGS[n]*bool(n) def to_chinese_numeral(n): ss = str(abs(n)).split('.') return NEG*(n<0) + parse(ss[0]) + (len(ss)>1 and decimals(ss[1]) or '') def decimals(digs): return DOT + ''.join(NUMS[d] for d in digs) def parse(s): if s in NUMS: return NUMS[s] s = ''.join(reversed([ NUMS[d] + POWS[i]*(d!='0') for i,d in enumerate(reversed(s)) ])) return re.sub(f'零+$|(?<=零)零+', '', s)

PYTHON

d1635

train

from math import factorial as fac def xCy(x, y): return fac(x) // fac(y) // fac(x - y) def total_inc_dec(x): return 1+sum([xCy(8+i,i) + xCy(9+i,i) - 10 for i in range(1,x+1)])

PYTHON

d1636

train

def middle_permutation(string): s = sorted(string) if len(s) % 2 ==0: return s.pop(len(s)//2-1) +''.join(s[::-1]) else: return s.pop(len(s)//2) + middle_permutation(s)

PYTHON

d1637

train

def productsum(n): pass # Your code here def productsum(kmax): def prodsum2(p, s, c, start): k = p - s + c # product - sum + number of factors if k < kmax: if p < n[k]: n[k] = p for i in range(start, kmax//p*2 + 1): prodsum2(p*i, s+i, c+1, i) kmax += 1 n = [2*kmax] * kmax prodsum2(1, 1, 1, 2) return sum(set(n[2:]))

PYTHON

d1638

train

def encode(s): lst = sorted( s[i or len(s):] + s[:i or len(s)] for i in reversed(range(len(s))) ) return ''.join(ss[-1] for ss in lst), s and lst.index(s) or 0 def decode(s, n): out, lst = [], sorted((c,i) for i,c in enumerate(s)) for _ in range(len(s)): c,n = lst[n] out.append(c) return ''.join(out)

PYTHON

d1639

train

''' Write a function that returns the longest contiguous palindromic substring in s. In the event that there are multiple longest palindromic substrings, return the first to occur. ''' def longest_palindrome(s, sep=" "): # Interpolate some inert character between input characters # so we only have to find odd-length palindromes t = sep + sep.join(s) + sep r = 0 # Rightmost index in any palindrome found so far ... c = 0 # ... and the index of the centre of that palindrome. spans = [] # Length of the longest substring in T[i:] mirrored in T[i::-1] # Manacher's algorithm for i,_ in enumerate(t): span = min(spans[2*c-i], r-i-1) if i < r else 0 while span <= i < len(t)-span and t[i-span] == t[i+span]: span += 1 r, c = max((r, c), (i+span, i)) spans.append(span) span = max(spans) middle = spans.index(span) return t[middle-span+1:middle+span].replace(sep, "")

PYTHON

d1640

train

import math def gta(limit, *args): return sum_up(limit, make_pattern(limit, *args)) def binomial_coeff(n, k): """N choose K""" return math.factorial(n) / math.factorial(n-k) def sum_up(limit, items): """ Basic Idea: The number of cominations is simply N choose K. We calcuate this n-times up to the limit. To sum up all the digits we don't have to calculate the sum of each permuation, rather, we simply have to realise that the digit "1" will appear N times. For example: [1,2,3], pick = 3. If there are 6 combinations of length 3 for 3 numbers then each number much appear once in each combination. Thus the sum is: (1 * 6) + (2 * 6) + (3 * 6) In cases where we have N numbers and need to pick K of them then that means not all numbers appear in all combinations. It turns out combinations_total / (N / limit) gives us how many times N appears in the list of all combinations. For example: [1,2,3] pick 2 [1,2] [2,1] [1,3] [3,1] [2,3] [3,2] We can see that 1 appears 4/6 times. combinations_total = 6, N = 3, limit = 2. 6 / (3/2) = 4 """ total = 0 for i in range(1, limit + 1): combin = binomial_coeff(len(items), i) ratio = len(items) / float(i) for element in items: total += (element * (combin / ratio)) return total def make_pattern(limit, *args): seen = set() pattern = [] items = list(map(str, args)) k = 0 while len(pattern) < limit: for i in range(len(items)): try: v = items[i][k] except IndexError: pass if v not in seen: seen.add(v) pattern.append(int(v)) if len(pattern) == limit: break k += 1 return pattern

PYTHON

d1641

train

def mix(s1, s2): hist = {} for ch in "abcdefghijklmnopqrstuvwxyz": val1, val2 = s1.count(ch), s2.count(ch) if max(val1, val2) > 1: which = "1" if val1 > val2 else "2" if val2 > val1 else "=" hist[ch] = (-max(val1, val2), which + ":" + ch * max(val1, val2)) return "/".join(hist[ch][1] for ch in sorted(hist, key=lambda x: hist[x]))

PYTHON

d1642

train

from itertools import zip_longest def normalize(lst, growing=0): def seeker(lst, d=1): yield len(lst), d for elt in lst: if isinstance(elt,list): yield from seeker(elt, d+1) def grower(lst, d=1): return [ grower(o if isinstance(o,list) else [o]*size, d+1) if d != depth else o for o,_ in zip_longest(lst,range(size), fillvalue=growing) ] size,depth = map(max, zip(*seeker(lst))) return grower(lst)

PYTHON

d1643

train

from scipy.special import comb def multiply(n, k): r, d = 1, 2 while d * d <= n: i = 0 while n % d == 0: i += 1 n //= d r *= comb(i + k - 1, k - 1, exact=True) d += 1 if n > 1: r *= k return r

PYTHON

d1644

train

from scipy.special import comb def almost_everywhere_zero(n, k): if k == 0: return 1 first, *rest = str(n) l = len(rest) return 9**k*comb(l, k, exact=True) +\ (int(first)-1)*9**(k-1)*comb(l, k-1, exact=True) +\ almost_everywhere_zero(int("".join(rest) or 0), k-1)

PYTHON

d1645

train

from math import ceil def b91decode(strng): ret = '' base91_alphabet = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '!', '#', '$', '%', '&', '(', ')', '*', '+', ',', '.', '/', ':', ';', '<', '=', '>', '?', '@', '[', ']', '^', '_', '`', '{', '|', '}', '~', '"'] strng_arr = [strng[i:i+2] for i in range(0, len(strng), 2)] origin_bin = '' for str in strng_arr: num = 0 if len(str) == 1: num += base91_alphabet.index(str[0]) origin_bin = bin(num)[2:] + origin_bin else: num += base91_alphabet.index(str[0]) num += base91_alphabet.index(str[1])*91 if num & 8191 > 88: origin_bin = bin(num)[2:].zfill(13) + origin_bin else: origin_bin = bin(num)[2:].zfill(14) + origin_bin origin_bin = origin_bin.zfill(int(ceil(len(origin_bin)/8.0))*8) ret = [origin_bin[i:i+8] for i in range(0, len(origin_bin), 8)] return ''.join(map(lambda x:chr(int(x, 2)), ret))[::-1] def b91encode(strng): base91_alphabet = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '!', '#', '$', '%', '&', '(', ')', '*', '+', ',', '.', '/', ':', ';', '<', '=', '>', '?', '@', '[', ']', '^', '_', '`', '{', '|', '}', '~', '"'] ret = '' strng_bin = map(lambda x:bin(ord(x))[2:].zfill(8), list(strng)) strng_bin_r = '' for i in range(len(strng_bin)): strng_bin_r = strng_bin[i] + strng_bin_r strng_bin_r = strng_bin_r[::-1] index = 0 while index < len(strng_bin_r): num = int(strng_bin_r[index:index+13][::-1], 2) if num > 88: index += 13 ret += base91_alphabet[num%91] + base91_alphabet[num/91] else: num = int(strng_bin_r[index:index+14][::-1], 2) index += 14 ret += base91_alphabet[num%91] + base91_alphabet[num/91] ret = ret[0:len(ret)-2] if num > 90: ret += base91_alphabet[num%91] + base91_alphabet[num/91] else: ret += base91_alphabet[num%91] return ret

PYTHON

d1646

train

def one_square(n): return round(n ** .5) ** 2 == n def two_squares(n): while n % 2 == 0: n //= 2 p = 3 while p * p <= n: while n % (p * p) == 0: n //= p * p while n % p == 0: if p % 4 == 3: return False n //= p p += 2 return n % 4 == 1 def three_squares(n): while n % 4 == 0: n //= 4 return n % 8 != 7 def sum_of_squares(n): if one_square(n): return 1 if two_squares(n): return 2 if three_squares(n): return 3 return 4

PYTHON

d1647

train

out = [1, 5, 6] def green(n): f = 5 s = 6 q = 1 while n >= len(out): q = 10 * q f = f**2 % q s = (1 - (s - 1)**2) % q out.extend(sorted(j for j in [f, s] if j not in out)) return out[n-1]

PYTHON

d1648

train

import itertools def next_bigger(n): s = list(str(n)) for i in range(len(s)-2,-1,-1): if s[i] < s[i+1]: t = s[i:] m = min([x for x in t if x>t[0]]) t.remove(m) t.sort() s[i:] = [m] + t return int("".join(s)) return -1

PYTHON

d1649

train

def spinning_rings(inner_max, outer_max): p = inner_max + 1 q = outer_max + 1 move = 1 while (-move) % p != move % q: if (-move) % p >= q: move = move // p * p + p - q + 1 elif move % q >= p: move = move // q * q + q elif (-move) % p > move % q and ((-move) % p + move % q) % 2 == 0: move += ((-move) % p - move % q) // 2 else: move = min((move - 1) // p * p + p, (move - 1) // q * q + q) + 1 return move

PYTHON

d1650

train

STATE_TO_COMMANDS = { 'CLOSED': { 'APP_PASSIVE_OPEN': 'LISTEN', 'APP_ACTIVE_OPEN': 'SYN_SENT' }, 'LISTEN': { 'RCV_SYN': 'SYN_RCVD', 'APP_SEND': 'SYN_SENT', 'APP_CLOSE': 'CLOSED' }, 'SYN_RCVD': { 'APP_CLOSE': 'FIN_WAIT_1', 'RCV_ACK': 'ESTABLISHED' }, 'SYN_SENT': { 'RCV_SYN': 'SYN_RCVD', 'RCV_SYN_ACK': 'ESTABLISHED', 'APP_CLOSE': 'CLOSED' }, 'ESTABLISHED': { 'APP_CLOSE': 'FIN_WAIT_1', 'RCV_FIN': 'CLOSE_WAIT' }, 'FIN_WAIT_1': { 'RCV_FIN': 'CLOSING', 'RCV_FIN_ACK': 'TIME_WAIT', 'RCV_ACK': 'FIN_WAIT_2' }, 'CLOSING': { 'RCV_ACK': 'TIME_WAIT' }, 'FIN_WAIT_2': { 'RCV_FIN': 'TIME_WAIT' }, 'TIME_WAIT': { 'APP_TIMEOUT': 'CLOSED' }, 'CLOSE_WAIT': { 'APP_CLOSE': 'LAST_ACK' }, 'LAST_ACK': { 'RCV_ACK': 'CLOSED' } } def traverse_TCP_states(events): state = "CLOSED" # initial state, always for event in events: if event not in STATE_TO_COMMANDS[state]: return 'ERROR' state = STATE_TO_COMMANDS[state][event] return state

PYTHON

d1651

train

from itertools import combinations_with_replacement def find_all(sum_dig, digs): combs = combinations_with_replacement(list(range(1, 10)), digs) target = [''.join(str (x) for x in list(comb)) for comb in combs if sum(comb) == sum_dig] if not target: return [] return [len(target), int(target[0]), int(target[-1])]

PYTHON

d1652

train

def solution(args): out = [] beg = end = args[0] for n in args[1:] + [""]: if n != end + 1: if end == beg: out.append( str(beg) ) elif end == beg + 1: out.extend( [str(beg), str(end)] ) else: out.append( str(beg) + "-" + str(end) ) beg = n end = n return ",".join(out)

PYTHON

d1653

train

times = [("year", 365 * 24 * 60 * 60), ("day", 24 * 60 * 60), ("hour", 60 * 60), ("minute", 60), ("second", 1)] def format_duration(seconds): if not seconds: return "now" chunks = [] for name, secs in times: qty = seconds // secs if qty: if qty > 1: name += "s" chunks.append(str(qty) + " " + name) seconds = seconds % secs return ', '.join(chunks[:-1]) + ' and ' + chunks[-1] if len(chunks) > 1 else chunks[0]

PYTHON

d1654

train

def fibfusc(n, num_digits=None): if n < 2: return (1 - n, n) b = bin(n)[2:] x, y = fibfusc(int(b[0])) for bit in b[1:]: if bit == "1": x, y = (-y*(2*x + 3*y), (x + 2*y)*(x + 4*y)) else: x, y = ((x + y) * (x - y), y * (2*x + 3*y)) if num_digits: x, y = x % 10 ** num_digits - 10**num_digits, y % 10 ** num_digits return x, y

PYTHON

d1655

train

import re def solve_runes(runes): for d in sorted(set("0123456789") - set(runes)): toTest = runes.replace("?",d) if re.search(r'([^\d]|\b)0\d+', toTest): continue l,r = toTest.split("=") if eval(l) == eval(r): return int(d) return -1

PYTHON

d1656

train

from itertools import combinations def count_col_triang(a): p, r = {}, {} for xy, col in a: p[col] = p.get(col, []) + [xy] for k in p: r[k] = sum(1 for c in combinations(p[k], 3) if triangle(*c)) mx = max(r.values()) return [len(a), len(p), sum(r.values()), sorted(k for k in r if r[k] == mx) + [mx] if mx else []] def triangle(a, b, c): return area(*[((p[0] - q[0])**2 + (p[1] - q[1])**2)**0.5 for p, q in [(a, b), (a, c), (b, c)]]) > 0.0 def area(a, b, c): s = 0.5 * (a + b + c) return round(max((s*((s-a)*(s-b)*(s-c))), 0.0)**0.5, 4)

PYTHON

d1657

train

def count_subsequences(needle, haystack): count = [1] + [0] * len(needle) for a in haystack: count = [1] + [count[i] + count[i-1] * (a == b) for i, b in enumerate(needle, 1)] return count[-1] % 10 ** 8

PYTHON

d1658

train

def string_func(s, n): l, s = [s], list(s) while True: s[::2], s[1::2] = s[:len(s)//2-1:-1], s[:len(s)//2] l.append(''.join(s)) if l[0] == l[-1]: del l[-1]; break return l[n % len(l)]

PYTHON

d1659

train

from fractions import Fraction def expand(x, digit): step = 0 fact = 1 expo = Fraction(1) n = 10 ** len(str(x).split('.')[-1]) x = Fraction(int(x * n), n) while expo.numerator < 10 ** (digit - 1): step += 1 fact *= step expo += x ** step / fact return [expo.numerator, expo.denominator]

PYTHON

d1660

train

ANSWERS = { 0: 1, 1: 1, 2: 2, 3: 3, 4: 5, 5: 7, 6: 11, 7: 15, 8: 22, 9: 30, 10: 42, 11: 56, 12: 77, 13: 101, 14: 135, 15: 176, 16: 231, 17: 297, 18: 385, 19: 490, 20: 627, 21: 792, 22: 1002, 23: 1255, 24: 1575, 25: 1958, 26: 2436, 27: 3010, 28: 3718, 29: 4565, 30: 5604, 31: 6842, 32: 8349, 33: 10143, 34: 12310, 35: 14883, 36: 17977, 37: 21637, 38: 26015, 39: 31185, 40: 37338, 41: 44583, 42: 53174, 43: 63261, 44: 75175, 45: 89134, 46: 105558, 47: 124754, 48: 147273, 49: 173525, 50: 204226, 51: 239943, 52: 281589, 53: 329931, 54: 386155, 55: 451276, 56: 526823, 57: 614154, 58: 715220, 59: 831820, 60: 966467, 61: 1121505, 62: 1300156, 63: 1505499, 64: 1741630, 65: 2012558, 66: 2323520, 67: 2679689, 68: 3087735, 69: 3554345, 70: 4087968, 71: 4697205, 72: 5392783, 73: 6185689, 74: 7089500, 75: 8118264, 76: 9289091, 77: 10619863, 78: 12132164, 79: 13848650, 80: 15796476, 81: 18004327, 82: 20506255, 83: 23338469, 84: 26543660, 85: 30167357, 86: 34262962, 87: 38887673, 88: 44108109, 89: 49995925, 90: 56634173, 91: 64112359, 92: 72533807, 93: 82010177, 94: 92669720, 95: 104651419, 96: 118114304, 97: 133230930, 98: 150198136, 99: 169229875, 100: 190569292, 101: 214481126, 102: 241265379, 103: 271248950, 104: 304801365, 105: 342325709, 106: 384276336, 107: 431149389, 108: 483502844, 109: 541946240, 110: 607163746, 111: 679903203, 112: 761002156, 113: 851376628, 114: 952050665, 115: 1064144451, 116: 1188908248, 117: 1327710076, 118: 1482074143, 119: 1653668665, 120: 1844349560, 121: 2056148051, 122: 2291320912, 123: 2552338241, 124: 2841940500, 125: 3163127352, 126: 3519222692, 127: 3913864295, 128: 4351078600, 129: 4835271870, 130: 5371315400, 131: 5964539504, 132: 6620830889, 133: 7346629512, 134: 8149040695, 135: 9035836076, 136: 10015581680, 137: 11097645016, 138: 12292341831, 139: 13610949895, 140: 15065878135, 141: 16670689208, 142: 18440293320, 143: 20390982757, 144: 22540654445, 145: 24908858009, 146: 27517052599, 147: 30388671978, 148: 33549419497, 149: 37027355200, 150: 40853235313, 151: 45060624582, 152: 49686288421, 153: 54770336324, 154: 60356673280, 155: 66493182097, 156: 73232243759, 157: 80630964769, 158: 88751778802, 159: 97662728555, 160: 107438159466, 161: 118159068427, 162: 129913904637, 163: 142798995930, 164: 156919475295, 165: 172389800255, 166: 189334822579, 167: 207890420102, 168: 228204732751, 169: 250438925115, 170: 274768617130, 171: 301384802048, 172: 330495499613, 173: 362326859895, 174: 397125074750, 175: 435157697830, 176: 476715857290, 177: 522115831195, 178: 571701605655, 179: 625846753120, 180: 684957390936, 181: 749474411781, 182: 819876908323, 183: 896684817527, 184: 980462880430, 185: 1071823774337, 186: 1171432692373, 187: 1280011042268, 188: 1398341745571, 189: 1527273599625, 190: 1667727404093, 191: 1820701100652, 192: 1987276856363, 193: 2168627105469, 194: 2366022741845, 195: 2580840212973, 196: 2814570987591, 197: 3068829878530, 198: 3345365983698, 199: 3646072432125, 200: 3972999029388, 201: 4328363658647, 202: 4714566886083, 203: 5134205287973, 204: 5590088317495, 205: 6085253859260, 206: 6622987708040, 207: 7206841706490, 208: 7840656226137, 209: 8528581302375, 210: 9275102575355, 211: 10085065885767, 212: 10963707205259, 213: 11916681236278, 214: 12950095925895, 215: 14070545699287, 216: 15285151248481, 217: 16601598107914, 218: 18028182516671, 219: 19573856161145, 220: 21248279009367, 221: 23061871173849, 222: 25025873760111, 223: 27152408925615, 224: 29454549941750, 225: 31946390696157, 226: 34643126322519, 227: 37561133582570, 228: 40718063627362, 229: 44132934884255, 230: 47826239745920, 231: 51820051838712, 232: 56138148670947, 233: 60806135438329, 234: 65851585970275, 235: 71304185514919, 236: 77195892663512, 237: 83561103925871, 238: 90436839668817, 239: 97862933703585, 240: 105882246722733, 241: 114540884553038, 242: 123888443077259, 243: 133978259344888, 244: 144867692496445, 245: 156618412527946, 246: 169296722391554, 247: 182973889854026, 248: 197726516681672, 249: 213636919820625, 250: 230793554364681, 251: 249291451168559, 252: 269232701252579, 253: 290726957916112, 254: 313891991306665, 255: 338854264248680, 256: 365749566870782, 257: 394723676655357, 258: 425933084409356, 259: 459545750448675, 260: 495741934760846, 261: 534715062908609, 262: 576672674947168, 263: 621837416509615, 264: 670448123060170, 265: 722760953690372, 266: 779050629562167, 267: 839611730366814, 268: 904760108316360, 269: 974834369944625, 270: 1050197489931117, 271: 1131238503938606, 272: 1218374349844333, 273: 1312051800816215, 274: 1412749565173450, 275: 1520980492851175, 276: 1637293969337171, 277: 1762278433057269, 278: 1896564103591584, 279: 2040825852575075, 280: 2195786311682516, 281: 2362219145337711, 282: 2540952590045698, 283: 2732873183547535, 284: 2938929793929555, 285: 3160137867148997, 286: 3397584011986773, 287: 3652430836071053, 288: 3925922161489422, 289: 4219388528587095, 290: 4534253126900886, 291: 4872038056472084, 292: 5234371069753672, 293: 5622992691950605, 294: 6039763882095515, 295: 6486674127079088, 296: 6965850144195831, 297: 7479565078510584, 298: 8030248384943040, 299: 8620496275465025, 300: 9253082936723602, 301: 9930972392403501, 302: 10657331232548839, 303: 11435542077822104, 304: 12269218019229465, 305: 13162217895057704, 306: 14118662665280005, 307: 15142952738857194, 308: 16239786535829663, 309: 17414180133147295, 310: 18671488299600364, 311: 20017426762576945, 312: 21458096037352891, 313: 23000006655487337, 314: 24650106150830490, 315: 26415807633566326, 316: 28305020340996003, 317: 30326181989842964, 318: 32488293351466654, 319: 34800954869440830, 320: 37274405776748077, 321: 39919565526999991, 322: 42748078035954696, 323: 45772358543578028, 324: 49005643635237875, 325: 52462044228828641, 326: 56156602112874289, 327: 60105349839666544, 328: 64325374609114550, 329: 68834885946073850, 330: 73653287861850339, 331: 78801255302666615, 332: 84300815636225119, 333: 90175434980549623, 334: 96450110192202760, 335: 103151466321735325, 336: 110307860425292772, 337: 117949491546113972, 338: 126108517833796355, 339: 134819180623301520, 340: 144117936527873832, 341: 154043597379576030, 342: 164637479165761044, 343: 175943559810422753, 344: 188008647052292980, 345: 200882556287683159, 346: 214618299743286299, 347: 229272286871217150, 348: 244904537455382406, 349: 261578907351144125, 350: 279363328483702152, 351: 298330063062758076, 352: 318555973788329084, 353: 340122810048577428, 354: 363117512048110005, 355: 387632532919029223, 356: 413766180933342362, 357: 441622981929358437, 358: 471314064268398780, 359: 502957566506000020, 360: 536679070310691121, 361: 572612058898037559, 362: 610898403751884101, 363: 651688879997206959, 364: 695143713458946040, 365: 741433159884081684, 366: 790738119649411319, 367: 843250788562528427, 368: 899175348396088349, 369: 958728697912338045, 370: 1022141228367345362, 371: 1089657644424399782, 372: 1161537834849962850, 373: 1238057794119125085, 374: 1319510599727473500, 375: 1406207446561484054, 376: 1498478743590581081, 377: 1596675274490756791, 378: 1701169427975813525, 379: 1812356499739472950, 380: 1930656072350465812, 381: 2056513475336633805, 382: 2190401332423765131, 383: 2332821198543892336, 384: 2484305294265418180, 385: 2645418340688763701, 386: 2816759503217942792, 387: 2998964447736452194, 388: 3192707518433532826, 389: 3398704041358160275, 390: 3617712763867604423, 391: 3850538434667429186, 392: 4098034535626594791, 393: 4361106170762284114, 394: 4640713124699623515, 395: 4937873096788191655, 396: 5253665124416975163, 397: 5589233202595404488, 398: 5945790114707874597, 399: 6324621482504294325, 400: 6727090051741041926, 401: 7154640222653942321, 402: 7608802843339879269, 403: 8091200276484465581, 404: 8603551759348655060, 405: 9147679068859117602, 406: 9725512513742021729, 407: 10339097267123947241, 408: 10990600063775926994, 409: 11682316277192317780, 410: 12416677403151190382, 411: 13196258966925435702, 412: 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1888: 192248713039873061921465120214608474899151280, 1889: 197902852631451912018290889751846175017276700, 1890: 203721748969018888548080806839085873409222663, 1891: 209710158646353589075380551065506324110555541, 1892: 215872974316462949034790068311792114803360768, 1893: 222215228547627476999327377660931337519227930, 1894: 228742097787726004875938672290676073251112495, 1895: 235458906439851487440117948662414751746035425, 1896: 242371131052313431017875037233367567350390976, 1897: 249484404626207844803286441041017222801266718, 1898: 256804521043823251651497040551112296246458295, 1899: 264337439621241331244215401011574782781334700, 1900: 272089289788583262011466359201428623427767364, 1901: 280066375901447845568248481717977121765830398, 1902: 288275182187185106927480861934498895209154826, 1903: 296722377829749335448869068867067104949579464, 1904: 305414822196978537321624475491324386207138350, 1905: 314359570214253084228181897886953506729950270, 1906: 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1925: 559091725978980633941148481298313317618632967, 1926: 575376761986396071222827176058084413124270202, 1927: 592131809050322598728023510231907577504041350, 1928: 609370308543590994569721078158344505753246979, 1929: 627106082727829397306582084065079630894972195, 1930: 645353345448318619933615779058934561872409372, 1931: 664126713126409278261223804893870154281524038, 1932: 683441216057704415059243252710086070145621992, 1933: 703312310024435417776917212697059694728111811, 1934: 723755888230689211116144545349876787252027480, 1935: 744788293569381118983800284897623329523811384, 1936: 766426331230110600455862693324715237997598939, 1937: 788687281657286442867926694461098498097562065, 1938: 811588913868164118077309502293768840003949925, 1939: 835149499140701056072067990291237777551833530, 1940: 859387825081405748983159033075649135425638325, 1941: 884323210083634058665255574996164926064666511, 1942: 909975518187071057883524303147934812769277935, 1943: 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3602726929418680979845445364711401806180203650663725, 2510: 3694690246098950482357992748748848483474524052004611, 2511: 3788982296360781887103496312666448565688651771156677, 2512: 3885661579220719274616818998490729558629719751838590, 2513: 3984788051511562939333648375836061468352863107532895, 2514: 4086423163922351728879727101483809741806177963555690, 2515: 4190629897922231281075551233411026977189480304097898, 2516: 4297472803589713195797719954967455347047259565521535, 2517: 4407018038369349240856665212333154882125704077589469, 2518: 4519333406778376182071537408268876717047377660539309, 2519: 4634488401086431042999613202320599056013666269808095, 2520: 4752554242991993841520963249414089899868727306156151 } def exp_sum(number): if number < 0: return 0 return ANSWERS[number]

PYTHON

d1661

train

def simplify(poly): # I'm feeling verbose today # get 3 parts (even if non-existent) of each term: (+/-, coefficient, variables) import re matches = re.findall(r'([+\-]?)(\d*)([a-z]+)', poly) # get the int equivalent of coefficient (including sign) and the sorted variables (for later comparison) expanded = [[int(i[0] + (i[1] if i[1] != "" else "1")), ''.join(sorted(i[2]))] for i in matches] # get the unique variables from above list. Sort them first by length, then alphabetically variables = sorted(list(set(i[1] for i in expanded)), key=lambda x: (len(x), x)) # get the sum of coefficients (located in expanded) for each variable coefficients = {v:sum(i[0] for i in expanded if i[1] == v) for v in variables} # clean-up: join them with + signs, remove '1' coefficients, and change '+-' to '-' return '+'.join(str(coefficients[v]) + v for v in variables if coefficients[v] != 0).replace('1','').replace('+-','-')

PYTHON

d1662

train

from collections import deque import re TOKENIZER = re.compile(r'(R+|F+|L+|\)|\()(\d*)') def parseCode(code): cmds = [[]] for cmd,n in TOKENIZER.findall(code): s,r = cmd[0], int(n or '1') + len(cmd)-1 if cmd == '(': cmds.append([]) elif cmd == ')': lst = cmds.pop() ; cmds[-1].extend(lst*r) else: cmds[-1] += [(s, r)] return cmds[0] def execute(code): pos, dirs = (0,0), deque([(0,1), (1,0), (0,-1), (-1,0)]) seens = {pos} for s,r in parseCode(code): if s == 'F': for _ in range(r): pos = tuple( z+dz for z,dz in zip(pos, dirs[0]) ) seens.add(pos) else: dirs.rotate( (r%4) * (-1)**(s == 'R') ) miX, maX = min(x for x,y in seens), max(x for x,y in seens) miY, maY = min(y for x,y in seens), max(y for x,y in seens) return '\r\n'.join( ''.join('*' if (x,y) in seens else ' ' for y in range(miY, maY+1)) for x in range(miX, maX+1) )

PYTHON

d1663

train

from collections import deque def tree_by_levels(node): if not node: return [] res, queue = [], deque([node,]) while queue: n = queue.popleft() res.append(n.value) if n.left is not None: queue.append(n.left) if n.right is not None: queue.append(n.right) return res

PYTHON

d1664

train

def count_divisors(n): """Counts the integer points under the parabola xy = n. Because the region is symmetric about x = y, it is only necessary to sum up to that point (at n^{1/2}), and double it. By this method, a square region is counted twice, and thus subtracted off the total. """ r = int(n**(1/2)) return 2*sum(n // i for i in range(1, r+1)) - r*r

PYTHON

d1665

train

from itertools import count ALL_MOVES = [(1,1), (0,1), ( 1,0), (-1,0), (0,-1), (-1,1), ( 1,-1), (-1,-1)] # Natural directions of moves for king or queen (one step) AMA_MOVES = [(1,2), (2,1), (-1,2), (2,-1), (1,-2), (-2,1), (-1,-2), (-2,-1)] # Knight moves for amazon queen def amazon_check_mate(*args): def posInBoard(x,y): return 0 <= x < 8 and 0 <= y < 8 def getCoveredPos(start, king=None): # Working with the amazon queen is king is provided covered = {start} for m in (AMA_MOVES if king else ALL_MOVES): # All "one step" moves (either for queen or king) pos = tuple( z+dz for z,dz in zip(start,m) ) if posInBoard(*pos): covered.add(pos) if king: # Get long range moves, for queen only (meaning: if king is provided!) for dx,dy in ALL_MOVES: for n in count(1): pos = (start[0]+dx*n, start[1]+dy*n) if not posInBoard(*pos) or pos == king: break # Abort if not in board or if white king is on the way covered.add(pos) return covered K, Q = [(ord(s[0])-97, ord(s[1])-49) for s in args] # King and Queen positions as tuples kCover = getCoveredPos(K) # Positions protected by white king fullCover = getCoveredPos(Q,K) | kCover # All position protected by white pieces freeQueen = Q not in kCover # Queen not protected by king counts = [0] * 4 # Indexes: 2 * "is not check" + 1 * "safe position available around" for x in range(8): for y in range(8): black = (x,y) if black in kCover or black == Q: continue # No adjacent kings and no king copulating with an amazon... safePosAround = any( posInBoard(*neigh) and (neigh not in fullCover or neigh == Q and freeQueen) # Neighbour is in board and is a safe place or is the queen and isn't protected by white king for neigh in ((x+dx, y+dy) for dx,dy in ALL_MOVES) ) counts[ 2*(black not in fullCover) + safePosAround ] += 1 # Update the correct index of "ans" return counts

PYTHON

d1666

train

def same_structure_as(original,other): if isinstance(original, list) and isinstance(other, list) and len(original) == len(other): for o1, o2 in zip(original, other): if not same_structure_as(o1, o2): return False else: return True else: return not isinstance(original, list) and not isinstance(other, list)

PYTHON

d1667

train

from fractions import gcd from functools import reduce def solution(a): return reduce(gcd, a) * len(a)

PYTHON

d1668

train

unflatten=lambda m,d,c=0:m if c==d else unflatten(parse(m,[0,1][c&1]),d,c+1) def parse(ar, lr): sub, i = [], [0, len(ar) - 1][lr] while 0 <= i < len(ar): j, r = ar[i], lr == 1 if isinstance(j, list): sub.append(parse(j, lr)) i += [1, -1][r] else: mod = j % len([ar[i:],ar[:i + 1]][r]) sub.append([j, ar[i:i + (mod * [1, -1][r]):[1, -1][r]][::[1, -1][r]]][mod>=3]) i += [mod,1][mod<3] * [1,-1][r] return sub[::[1, -1][lr]]

PYTHON

d1669

train

def next_smaller(n): s = list(str(n)) i = j = len(s) - 1 while i > 0 and s[i - 1] <= s[i]: i -= 1 if i <= 0: return -1 while s[j] >= s[i - 1]: j -= 1 s[i - 1], s[j] = s[j], s[i - 1] s[i:] = reversed(s[i:]) if s[0] == '0': return -1 return int(''.join(s))

PYTHON

d1670

train

class Solution: def isNStraightHand(self, hand: List[int], W: int) -> bool: # 1, 2, 2, 3, 3, 4, 6, 7, 8 # 1 2 3 # 2 3 4 # 6 7 8 # W length Q # how many opened # # of the element is current opened one q = deque() opened = 0 last = 0 counter = Counter(hand) for n in sorted(counter): count = counter[n] if n > last + 1 and opened > 0: return False if n == last + 1 and count < opened: return False q.append(count - opened) opened = count if len(q) == W: opened -= q.popleft() last = n return not opened

PYTHON

d1671

train

import sys def main(): s = sys.stdin.readline save = {' ': '%20', '!': '%21', '$': '%24', '%': '%25', '(': '%28', ')': '%29', '*': '%2a'} string = s().strip() while True: output = [] if '#' in string: return for i in string: if i in save: output.append(save[i]) else: output.append(i) print(''.join(output)) string = s().strip() def __starting_point(): main() __starting_point()

PYTHON

d1672

train

# ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # ------------------- fast io -------------------- from math import gcd, ceil def prod(a, mod=10**9+7): ans = 1 for each in a: ans = (ans * each) % mod return ans def lcm(a, b): return a * b // gcd(a, b) def binary(x, length=16): y = bin(x)[2:] return y if len(y) >= length else "0" * (length - len(y)) + y for _ in range(int(input()) if True else 1): n = int(input()) #n, k = map(int, input().split()) #a, b = map(int, input().split()) #c, d = map(int, input().split()) #a = list(map(int, input().split())) #b = list(map(int, input().split())) #s = input() print(*[1]*n)

PYTHON

d1673

train

f={} f[-40] = '-319993.68' f[-41] = '-344598.60' f[-42] = '-370433.52' f[-43] = '-397528.44' f[-44] = '-425913.37' f[-45] = '-455618.29' f[-46] = '-486673.22' f[-47] = '-519108.14' f[-48] = '-552953.07' f[-49] = '-588238.00' f[-50] = '-624992.93' f[-29] = '-121939.61' f[-30] = '-134994.52' f[-31] = '-148949.43' f[-32] = '-163834.34' f[-33] = '-179679.26' f[-34] = '-196514.17' f[-35] = '-214369.08' f[-36] = '-233274.00' f[-37] = '-253258.92' f[-38] = '-274353.84' f[-39] = '-296588.76' f[-18] = '-29155.76' f[-19] = '-34290.64' f[-20] = '-39995.53' f[-21] = '-46300.42' f[-22] = '-53235.31' f[-23] = '-60830.20' f[-24] = '-69115.10' f[-25] = '-78120.00' f[-26] = '-87874.90' f[-27] = '-98409.80' f[-28] = '-109754.71' f[-8] = '-2557.17' f[-9] = '-3642.00' f[-10] = '-4996.84' f[-11] = '-6651.68' f[-12] = '-8636.54' f[-13] = '-10981.39' f[-14] = '-13716.26' f[-15] = '-16871.13' f[-16] = '-20476.00' f[-17] = '-24560.88' f[-18] = '-29155.76' f[3] = '136.73' f[2] = '41.41' f[1] = '6.00' f[0] = '0.00' f[-1] = '-4.00' f[-2] = '-38.59' f[-3] = '-133.27' f[-4] = '-318.00' f[-5] = '-622.76' f[-6] = '-1077.55' f[-7] = '-1712.35' f[14] = 'MAGNA NIMIS!' f[13] = 'MAGNA NIMIS!' f[12] = 'MAGNA NIMIS!' f[11] = 'MAGNA NIMIS!' f[10] = 'MAGNA NIMIS!' f[9] = 'MAGNA NIMIS!' f[8] = 'MAGNA NIMIS!' f[7] = 'MAGNA NIMIS!' f[6] = 'MAGNA NIMIS!' f[5] = 'MAGNA NIMIS!' f[4] = '322.00' a=[] for i in range(11): a+=[int(input())] for i in a[::-1]: s='' if i in f: s=f[i] else: s='MAGNA NIMIS!' print('f(%d) = %s'%(i, s))

PYTHON

d1674

train

class Solution: def minFallingPathSum(self, arr: List[List[int]]) -> int: dp = [0] * len(arr[0]) for r, row in enumerate(arr): minNb = min(dp) min1 = dp.index(minNb) dp[min1] = float('inf') min2 = dp.index(min(dp)) dp[min1] = minNb for c in range(len(row)): if c != min1: row[c] += dp[min1] else: row[c] += dp[min2] #row[c] += min(dp[:c]+dp[c+1:]) dp = row[:] return min(dp)

PYTHON

d1675

train

from functools import * class Solution: def stoneGameII(self, arr): a =[] s=0 n = len(arr) for i in arr[::-1]: s+=i a.append(s) a=a[::-1] @lru_cache(None) def fun(i,m): if i+2*m>=n:return a[i] mn = inf for ii in range(1,2*m+1): if ii>m: ans = fun(i+ii,ii) else: ans=fun(i+ii,m) if ans<mn: mn = ans return a[i]-mn return fun(0,1)

PYTHON

d1676

train

from math import sqrt def get_distance(x1,y1,x2,y2): return sqrt((x1-x2)**2 + (y1-y2)**2) T = int(input()) ans = [] for _ in range(T): blank = input() N = int(input()) C = [[] for i in range(10**4+1)] for i in range(N): x,y = [int(i) for i in input().split()] C[x].append(y) distance = 0 lastx = None lasty = None for i in range(10**4+1): if(C[i]!=[]): max_ci = max(C[i]) min_ci = min(C[i]) if(lastx!=None and lasty!=None): distance += get_distance(lastx,lasty,i,max_ci) distance += max_ci - min_ci lastx = i lasty = min_ci # ans.append(round(distance,2)) ans.append("{:.2f}".format(distance)) # ans.append(distance) for i in ans: print(i)

PYTHON

d1677

train

import sys blocks = {} for i in range(1, 10): blocks[i] = [(0, 0)] for i in range(2, 10, 2): for j in range(1, i / 2 + 1): blocks[i].append((j, 0)) blocks[i + 1].append((0, j)) # print blocks blocks[10] = [(0, 0), (0, 1), (1, 0), (1, 1)] blocks[11] = [(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)] blocks[12] = [(0, 0), (0, 1), (0, 2), (1, 2), (2, 2)] blocks[13] = [(0, 2), (1, 2), (2, 0), (2, 1), (2, 2)] blocks[14] = [(0, 0), (1, 0), (2, 0), (2, 1), (2, 2)] blocks[15] = [(0, 0), (0, 1), (0, 2), (1, 0), (2, 0)] blocks[16] = [(0, 0), (0, 1), (1, 0)] blocks[17] = [(0, 0), (0, 1), (1, 1)] blocks[18] = [(0, 1), (1, 0), (1, 1)] blocks[19] = [(0, 0), (1, 0), (1, 1)] grid = [['.'] * 10] * 10 # print grid id1, id2, id3 = list(map(int, input().split())) while not (id1 == id2 == id3 == -1): print('-1 -1 -1 -1 -1 -1 -1 -1 -1') sys.stdout.flush() id1, id2, id3 = list(map(int, input().split()))

PYTHON

d1678

train

#dt = {} for i in x: dt[i] = dt.get(i,0)+1 import sys;input = sys.stdin.readline #import io,os; input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline #for pypy inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()] from collections import deque def getmax(x,n,k): mx = [] dq = deque() for i in range(k): while dq and x[i] >= x[dq[-1]]: dq.pop() dq.append(i) mx.append(x[dq[0]]) for i in range(k,n): while dq and dq[0] <= i-k: dq.popleft() while dq and x[i] >= x[dq[-1]]: dq.pop() dq.append(i) mx.append(x[dq[0]]) return mx n = inp() m = n+n A = ip() B = ip() A += A B += B pre = [0]*(m+1) for i in range(1,m+1): pre[i] += pre[i-1] + B[i-1] plus = [0]*m minus = [0]*m for i in range(m): plus[i] = A[i]+pre[i] minus[i] = A[i]-pre[i+1] a = getmax(plus,m,n-1) ans = float('-inf') for i in range(n): ans = max(ans,minus[i]+a[i+1]) print(max(ans,*A))

PYTHON

d1679

train

# cook your dish here n,m = map(int, input().split()) arr1 = list(map(int, input().split())) arr2 = list(map(int, input().split())) max1 = arr1.index(max(arr1)) min2 = arr2.index(min(arr2)) arr = [] for i in range(m): arr.append([max1, i]) for i in range(n): if i!=max1: arr.append([i , min2]) for i in arr: print(*i)

PYTHON

d1680

train

# cook your dish here for _ in range(int(input())): l,n,x=map(int,input().split()) m=[] pw1 = (1 << 17); pw2 = (1 << 18); if (n == 1) : m.append(x) elif (n == 2 and x == 0) : m.append(-1) elif (n == 2) : m.append(x) m.append(0) else : ans = 0; for i in range(1, n - 2) : m.append(i) ans = ans ^ i; if (ans == x) : m.append(pw1+pw2) m.append(pw1) m.append(pw2) else: m.append(pw1) m.append((pw1 ^ x) ^ ans) m.append(0) p=(m)*l for i in range(0,l): print(p[i],end=' ') print()

PYTHON

d1681

train

#include<stdio.h> int rev(int k) { int j,res=0; while(k) { res=res*10+k%10; k/=10; } return res; } int main() { int j,a,b,m,k; while(scanf("%d",&m)!=EOF) { for(j=1;j<=m;j++) { scanf("%d %d",&a,&b); k=rev(a)+rev(b); printf("%d\n",rev(k)); } } return 0; }

PYTHON

d1682

train

for _ in range(int(input())): x,y=map(int,input().split()) if(x==y): if(x==1): print(1) else: n=0 for i in range(x-1): n=i for _ in range(y): print(n,end=' ') n=(n+1)%x print() for i in range(x): print(i,end=' ') print( ) else: l=[] n=min(x,y) m=max(x,y) for _ in range(n): l.append([]) v=n+1 for i in range(n): u=i for j in range(m): if(j<=n): l[i].append(u) u=(u+1)%(n+1) else: if(j>=v): l[i].append(j+1) else: l[i].append(j) v=v+1 if(x>y): for i in range(x): for j in l: print(j[i],end=' ') print( ) else: for i in l: for j in i: print(j,end=' ') print( )

PYTHON

d1683

train

l=list(map(int,input())) t=-1 x=-1 y=-1 for i in range(len(l)): s=l[i] a=i+1 b=i+1 for j in range(i+1,len(l)): if l[i]<l[j]: s=s+l[j] b=j+1 else: break if s>t: t=s x=a y=b print(t,end=":") print(x,y,sep="-")

PYTHON

d1684

train

''' J A I ~ S H R E E ~ R A M ''' # Title: cc-CKOJ20D.py # created on: 20-07-2020 at 20:46:04 # Creator & Template : Udit Gupta "@luctivud" # https://github.com/luctivud # https://www.linkedin.com/in/udit-gupta-1b7863135/ import math; from collections import * import sys; from functools import reduce from itertools import groupby # sys.setrecursionlimit(10**6) def get_ints(): return map(int, input().strip().split()) def get_list(): return list(get_ints()) def get_string(): return list(input().strip().split()) def printxsp(*args): return print(*args, end="") def printsp(*args): return print(*args, end=" ") DIRECTIONS = [[0, 1], [0, -1], [1, 0], [1, -1]] #up, down, right, left NEIGHBOURS = [(i, j) for i in range(-1, 2) for j in range(-1, 2) if (i!=0 or j!=0)] OrdUnicode_a = ord('a'); OrdUnicode_A = ord('A') CAPS_ALPHABETS = {chr(i+OrdUnicode_A) : i for i in range(26)} SMOL_ALPHABETS = {chr(i+OrdUnicode_a) : i for i in range(26)} MOD_JOHAN = int(1e9)+7; MOD_LIGHT = 998244353; INFINITY = float('inf') MAXN_EYEPATCH = int(1e5)+1; MAXN_FULLMETAL = 501 # Custom input output is now piped through terminal commands. def bfs(s): queue = deque() visited = set() visited.add(1) queue.append((1, 0)) while len(queue): node, dep = queue.popleft() dep += 1 for zen in tree[node]: if zen not in visited: visited.add(zen) if dep & 1: global xorsum xorsum ^= li[zen] queue.append((zen, dep)) # print(queue) # for _testcases_ in range(int(input())): n = int(input()) li = [0] + get_list() tree = defaultdict(list) for _ in range(n-1): a, b = get_ints() tree[a].append(b) tree[b].append(a) xorsum = 0 bfs(1) # print(xorsum) print("First" if xorsum else "Second") ''' THE LOGIC AND APPROACH IS MINE ( UDIT GUPTA ) Link may be copy-pasted here, otherwise. '''

PYTHON

d1685

train

# cook your dish here t = int(input()) while(t>0): n = int(input()) k=1 while(k<=n): print(k, end=' ') k+=1 print('\n') t-=1

PYTHON

d1686

train

from collections import deque from sys import stdin import psyco psyco.full() graph = [[]] WHITE, GRAY, BLACK = 0, 1, 2 def notoriety(x, f_count): queue = deque([x]) d = [0 for i in range(f_count+1)] p = [0 for i in range(f_count+1)] color = [WHITE for i in range(f_count+1)] while len(queue) > 0: top = queue.pop() for node in graph[top]: if color[node] == WHITE: queue.appendleft(node) color[node], p[node], d[node] = GRAY, top, d[top] + 1 color[top] = BLACK return sum(d)/(f_count*1.0) def main(): groups = int(stdin.readline()) for g in range(groups): global graph graph = [[]] no_of_friends = int(stdin.readline()) for i in range(no_of_friends): graph.append(list(map(int,stdin.readline().split()))) min_notoriety, popular = 10000000, -1 # yet another magic number for f in range(1,no_of_friends+1): curr_not = notoriety(f, no_of_friends) if curr_not < min_notoriety: min_notoriety,popular = curr_not, f assert popular != -1 print(popular, "%.6f" %min_notoriety) def __starting_point(): main() __starting_point()

PYTHON

d1687

train

class PathNode: def __init__(self, row, col, st_x, st_y, p_count=0): self.x = row self.y = col self.pathCount = p_count def __str__(self): return str(self.x) + " | " + str(self.y) + " | " + str(self.pathCount) class GraphUtil: def __init__(self, mat, R,C, d): self.mat = mat self.R = R self.C = C self.d = d self.tab = {} def isValidMove(self, r, c, blockVal): return r < self.R and c < self.C and self.mat[r][c] != blockVal def possbilePathUtil(self, r, c, blockVal, step,direction): if(not self.isValidMove(r, c, 0)): return 0 if (r == self.R - 1 and c == self.C - 1): return 1 if ((r,c,step,direction) in self.tab): return self.tab[(r,c,step,direction)] result = 0 if direction == 1: if step < self.d: result = (result + self.possbilePathUtil(r, c + 1, blockVal, step + 1,1)) % 20011 result = (result + self.possbilePathUtil(r+1, c, blockVal, 1,2)) % 20011 else: if step < self.d: result = (result + self.possbilePathUtil(r + 1, c, blockVal, step + 1, 2)) % 20011 result = (result + self.possbilePathUtil(r, c + 1, blockVal, 1,1)) % 20011 self.tab[(r,c,step,direction)] = result return result def possbilePath(self): if (not self.mat or len(self.mat) < 1): return 0 return self.possbilePathUtil(0, 0, 0,0,2) numbers = [int(n) for n in input().split()] mat = [[int(n) for n in input().split()] for r in range(0, numbers[0])] result = GraphUtil(mat, numbers[0], numbers[1], numbers[2]) print(result.possbilePath()) # print(result.count)# cook your dish here

PYTHON

d1688

train

for _ in range(int(input())): n,k=[int(x) for x in input().split()] if k%4==0: for i in range(0,k,4): print(i,i+1) print(i+1,i+2) print(i+2,i+3) print(i+3,i) elif k%4==1: for i in range(4,k-1,4): print(i,i+1) print(i+1,i+2) print(i+2,i+3) print(i+3,i) print(0,1) print(1,2) print(2,3) print(3,(1<<n)-1) print((1<<n)-1,0) elif k%4==2: for i in range(4,k-2,4): print(i,i+1) print(i+1,i+2) print(i+2,i+3) print(i+3,i) print(0,1) print(1,2) print(2,3) print(3,(1<<n)-2) print((1<<n)-2,(1<<n)-1) print((1<<n)-1,0) elif k!=3: n=1<<n n-=1 for i in range(4,k-3,4): print(i,i+1) print(i+1,i+2) print(i+2,i+3) print(i+3,i) print(2,3) print(3,n-1) print(n-1,0) print(0,1) print(1,n-2) print(n-2,n) print(n,2) else: print(0,1) print(1,3) print(3,00)

PYTHON

d1689

train

m=int(input()) while m: m-=1 n=int(input()) t=[i for i in input().split()] print(''.join(t))

PYTHON

d1690

train

# import all important libraries and inbuilt functions from fractions import Fraction import numpy as np import sys,bisect,copyreg,copy,statistics,os from math import * from collections import Counter,defaultdict,deque,OrderedDict from itertools import combinations,permutations,accumulate from numpy.linalg import matrix_power as mp from bisect import bisect_left,bisect_right,bisect,insort,insort_left,insort_right from statistics import mode from functools import reduce,cmp_to_key from io import BytesIO, IOBase from scipy.spatial import ConvexHull from heapq import * from decimal import * from queue import Queue,PriorityQueue from re import sub,subn # end of library import # map system version faults if sys.version_info[0] < 3: from builtins import xrange as range from future_builtins import ascii, filter, hex, map, oct, zip # template of many functions used in competitive programming can add more later # based on need we will use this commonly. # bfs in a graph def bfs(adj,v): # a schema of bfs visited=[False]*(v+1);q=deque() while q:pass # definition of vertex of a graph def graph(vertex): return [[] for i in range(vertex+1)] def powermodulo(x, y, p) : res = 1;x = x % p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : res = (res * x) % p y = y >> 1 x = (x * x) % p return res def lcm(a,b): return (a*b)//gcd(a,b) # most common list in a array of lists def most_frequent(List):return Counter(List).most_common(1)[0][0] # element with highest frequency def most_common(List):return(mode(List)) #In number theory, the Chinese remainder theorem states that #if one knows the remainders of the Euclidean division of an integer n by #several integers, then one can determine uniquely the remainder of the #division of n by the product of these integers, under the condition #that the divisors are pairwise coprime. def chinese_remainder(a, p): prod = reduce(op.mul, p, 1);x = [prod // pi for pi in p] return sum(a[i] * powermodulo(x[i], p[i] - 2, p[i]) * x[i] for i in range(len(a))) % prod # make a matrix def createMatrix(rowCount, colCount, dataList): mat = [] for i in range (rowCount): rowList = [] for j in range (colCount): if dataList[j] not in mat:rowList.append(dataList[j]) mat.append(rowList) return mat # input for a binary tree def readTree(): v=int(inp());adj=[set() for i in range(v+1)] for i in range(v-1):u1,u2=In(); adj[u1].add(u2);adj[u2].add(u1) return adj,v # sieve of prime numbers def sieve(): li=[True]*1000001;li[0],li[1]=False,False;prime=[] for i in range(2,len(li),1): if li[i]==True: for j in range(i*i,len(li),i):li[j]=False for i in range(1000001): if li[i]==True:prime.append(i) return prime #count setbits of a number. def setBit(n): count=0 while n!=0:n=n&(n-1);count+=1 return count # sum of digits of a number def digitsSum(n): if n == 0:return 0 r = 0 while n > 0:r += n % 10;n //= 10 return r # ncr efficiently def ncr(n, r): r = min(r, n - r);numer = reduce(op.mul, list(range(n, n - r, -1)), 1);denom = reduce(op.mul, list(range(1, r + 1)), 1) return numer // denom # or / in Python 2 #factors of a number def factors(n):return list(set(reduce(list.__add__, ([i, n // i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))) #prime fators of a number def prime_factors(n): i = 2;factors = [] while i * i <= n: if n % i:i += 1 else:n //= i;factors.append(i) if n > 1:factors.append(n) return len(set(factors)) def prefixSum(arr): for i in range(1, len(arr)):arr[i] = arr[i] + arr[i-1] return arr def binomial_coefficient(n, k): if 0 <= k <= n: ntok = 1;ktok = 1 for t in range(1, min(k, n - k) + 1):ntok *= n;ktok *= t;n -= 1 return ntok // ktok else:return 0 def powerOfK(k, max): if k == 1:return [1] if k == -1:return [-1, 1] result = [];n = 1 while n <= max:result.append(n);n *= k return result # maximum subarray sum use kadane's algorithm def kadane(a,size): max_so_far = 0;max_ending_here = 0 for i in range(0, size): max_ending_here = max_ending_here + a[i] if (max_so_far < max_ending_here):max_so_far = max_ending_here if max_ending_here < 0:max_ending_here = 0 return max_so_far def divisors(n): result = [] for i in range(1,ceil(sqrt(n))+1): if n%i == 0: if n/i == i:result.append(i) else:result.append(i);result.append(n/i) return result def sumtilln(n): return ((n*(n+1))//2) def isPrime(n) : if (n <= 1) :return False if (n <= 3) :return True if (n % 2 == 0 or n % 3 == 0) :return False for i in range(5,ceil(sqrt(n))+1,6): if (n % i == 0 or n % (i + 2) == 0) :return False return True def isPowerOf2(n): while n % 2 == 0:n //= 2 return (True if n == 1 else False) def power2(n): k = 0 while n % 2 == 0:k += 1;n //= 2 return k def sqsum(n):return ((n*(n+1))*(2*n+1)//6) def cusum(n):return ((sumn(n))**2) def pa(a): for i in range(len(a)):print(a[i], end = " ") print() def pm(a,rown,coln): for i in range(rown): for j in range(coln):print(a[i][j],end = " ") print() def pmasstring(a,rown,coln): for i in range(rown): for j in range(coln):print(a[i][j],end = "") print() def isPerfectSquare(n):return pow(floor(sqrt(n)),2) == n def nC2(n,m):return (((n*(n-1))//2) % m) def modInverse(n,p):return powermodulo(n,p-2,p) def ncrmodp(n, r, p): num = den = 1 for i in range(r):num = (num * (n - i)) % p ;den = (den * (i + 1)) % p return (num * powermodulo(den,p - 2, p)) % p def reverse(string):return "".join(reversed(string)) def listtostr(s):return ' '.join([str(elem) for elem in s]) def binarySearch(arr, l, r, x): while l <= r: mid = l + (r - l) // 2; if arr[mid] == x:return mid elif arr[mid] < x:l = mid + 1 else:r = mid - 1 return -1 def isarrayodd(a): r = True for i in range(len(a)): if a[i] % 2 == 0: r = False break return r def isPalindrome(s):return s == s[::-1] def gt(x,h,c,t):return ((x*h+(x-1)*c)/(2*x-1)) def CountFrequency(my_list): freq = {} for item in my_list:freq[item] = (freq[item] + 1 if (item in freq) else 1) return freq def CountFrequencyasPair(my_list1,my_list2,freq): for item in my_list1:freq[item][0] = (freq[item][0] + 1 if (item in freq) else 1) for item in my_list2:freq[item][1] = (freq[item][1] + 1 if (item in freq) else 1) return freq def binarySearchCount(arr, n, key): left = 0;right = n - 1;count = 0 while (left <= right): mid = int((right + left) / 2) if (arr[mid] <= key):count,left = mid + 1,mid + 1 else:right = mid - 1 return count def primes(n): sieve,l = [True] * (n+1),[] for p in range(2, n+1): if (sieve[p]): l.append(p) for i in range(p, n+1, p):sieve[i] = False return l def Next_Greater_Element_for_all_in_array(arr): s,n,reta,retb = list(),len(arr),[],[];arr1 = [list([0,i]) for i in range(n)] for i in range(n - 1, -1, -1): while (len(s) > 0 and s[-1][0] <= arr[i]):s.pop() if (len(s) == 0):arr1[i][0] = -1 else:arr1[i][0] = s[-1] s.append(list([arr[i],i])) for i in range(n):reta.append(list([arr[i],i]));retb.append(arr1[i][0]) return reta,retb def polygonArea(X,Y,n): area = 0.0;j = n - 1 for i in range(n):area += (X[j] + X[i]) * (Y[j] - Y[i]);j = i return abs(area / 2.0) #defining a LRU Cache # where we can set values and get values based on our requirement class LRUCache: # initialising capacity def __init__(self, capacity: int): self.cache = OrderedDict() self.capacity = capacity # we return the value of the key # that is queried in O(1) and return -1 if we # don't find the key in out dict / cache. # And also move the key to the end # to show that it was recently used. def get(self, key: int) -> int: if key not in self.cache:return -1 else:self.cache.move_to_end(key);return self.cache[key] # first, we add / update the key by conventional methods. # And also move the key to the end to show that it was recently used. # But here we will also check whether the length of our # ordered dictionary has exceeded our capacity, # If so we remove the first key (least recently used) def put(self, key: int, value: int) -> None: self.cache[key] = value;self.cache.move_to_end(key) if len(self.cache) > self.capacity:self.cache.popitem(last = False) class segtree: def __init__(self,n): self.m = 1 while self.m < n:self.m *= 2 self.data = [0] * (2 * self.m) def __setitem__(self,i,x): x = +(x != 1);i += self.m;self.data[i] = x;i >>= 1 while i:self.data[i] = self.data[2 * i] + self.data[2 * i + 1];i >>= 1 def __call__(self,l,r): l += self.m;r += self.m;s = 0 while l < r: if l & 1:s += self.data[l];l += 1 if r & 1:r -= 1;s += self.data[r] l >>= 1;r >>= 1 return s class FenwickTree: def __init__(self, n):self.n = n;self.bit = [0]*(n+1) def update(self, x, d): while x <= self.n:self.bit[x] += d;x += (x & (-x)) def query(self, x): res = 0 while x > 0:res += self.bit[x];x -= (x & (-x)) return res def range_query(self, l, r):return self.query(r) - self.query(l-1) # can add more template functions here # end of template functions # To enable the file I/O i the below 2 lines are uncommented. # read from in.txt if uncommented if os.path.exists('in.txt'): sys.stdin=open('in.txt','r') # will print on Console if file I/O is not activated #if os.path.exists('out.txt'): sys.stdout=open('out.txt', 'w') # inputs template #for fast input we areusing sys.stdin def inp(): return sys.stdin.readline().strip() #for fast output, always take string def out(var): sys.stdout.write(str(var)) # cusom base input needed for the program def I():return (inp()) def II():return (int(inp())) def FI():return (float(inp())) def SI():return (list(str(inp()))) def MI():return (map(int,inp().split())) def LI():return (list(MI())) def SLI():return (sorted(LI())) def MF():return (map(float,inp().split())) def LF():return (list(MF())) # end of inputs template # common modulo values used in competitive programming MOD = 998244353 mod = 10**9+7 # any particular user-defined functions for the code. # can be written here. def solve(): n,m = MI();ss = [] for _ in range(n):ss.append(list(I()) + ['#']) ss.append(['#']*(m+1)) for i in range(n-1, -1, -1): for j in range(m-1, -1, -1): if ss[i+1][j] == '#' and ss[i][j+1] == '#' and (i,j) != (n-1, m-1):ss[i][j] = '#' res = [ss[0][0]];cend = {(0,0)} for _ in range(n+m-2): ncend = set();mn = 'z' for i,j in cend: if ss[i+1][j] != '#' and ss[i+1][j] <= mn:ncend.add((i+1, j));mn = ss[i+1][j] if ss[i][j+1] != '#' and ss[i][j+1] <= mn:ncend.add((i, j+1));mn = ss[i][j+1] res.append(mn) cend = {(i,j) for (i,j) in ncend if ss[i][j] == mn} print(''.join(res)) # end of any user-defined functions # main functions for execution of the program. def __starting_point(): # execute your program from here. # start your main code from here # Write your code here for _ in range(II()):solve() # end of main code # end of program # This program is written by : # Shubham Gupta # B.Tech (2019-2023) # Computer Science and Engineering, # Department of EECS # Contact No:8431624358 # Indian Institute of Technology(IIT),Bhilai # Sejbahar, # Datrenga, # Raipur, # Chhattisgarh # 492015 # THANK YOU FOR #YOUR KIND PATIENCE FOR READING THE PROGRAM. __starting_point()

PYTHON

d1691

train

def check_relative(i,j): if is_relative[i]:return if len(land[i].intersection(land[j]))>=k: is_relative[i]=True for ii in range(n): check_relative(ii,i) n,k=map(int,input().split()) land=[] is_relative=[True]+[False]*(n-1) for i in range(n): p,*q=input().split() land.append(set(map(int,q))) for i in range(n): check_relative(i,0) print(is_relative.count(True))

PYTHON

d1692

train

# CHNGSS.py import sys from random import * n,m,c = list(map(int,input().split())) arr = [[1]*m for i in range(n)]; saved = 0; for i in range(n): for j in range(m): print(1,(i+1),(i+1),(j+1),(j+1),1,25) sys.stdout.flush() a = int(input()) if a == 1 : saved += 1; arr[i][j] = randint(1,25); else: arr[i][j] = randint(25,50); print(3); sys.stdout.flush() for a in arr : print(' '.join(map(str,a))); sys.stdout.flush() # sys.exit(0);

PYTHON

d1693

train

print(302) print("0 1000000") coord, rad = 17321*2, 300 for i in range(300): print(coord, rad) coord, rad = coord+600, rad-1 print("1000000 1000000")

PYTHON

d1694

train

from math import * n = int(input()) for _ in range(n): a = [int(i) for i in input().split()] c = len(a) avg = sum(a)/c ulik = log(2*avg + 1)*(-c) plik = 0 for k in a: plik += log(avg)*k plik += -avg for i in range(1, k+1): plik -= log(i) isu = ulik > plik ans = ["poisson", "uniform"][isu] print(ans)

PYTHON

d1695

train

v = int(input()) eps = 170 def ans(a): a.sort() if len(a) % 2 == 0: med = a[len(a)//2] else: med = (a[len(a)//2] + a[len(a)//2 - 1]) // 2 l = med - med // 2 r = med + med // 2 c1 = c2 = 0 for i in a: if i >= l and i <= r: c1 += 1 else: c2 += 1 if abs(c1 - c2) <= eps: return (med, "uniform") else: return (med, "poisson") for i in range(v): cur = [int(i) for i in input().split()] b = ans(cur) if b[1] == "poisson": print(b[0]) else: print((max(cur) - min(cur)) // 2)

PYTHON

d1696

train

def __starting_point(): print(2001) for i in range(1000): print(str(i + 1) + ' ' + str(1) + ' ' + str(i + 1) + ' ' +str(2)) print(str(1) + " " + str(1) + " " +str(1) + " " + str(2)) for i in range(1000): print(str(i + 1) + ' ' + str(1) + ' ' + str(i + 1) + ' ' +str(2)) __starting_point()

PYTHON

d1697

train

def sampleVariance(V): X = sum(V) / len(V) S = 0.0 for x in V: S += (X-x)**2 S /= (len(V)-1) return (X, S) #That awkward moment when you realized that variance is sigma^2 but you just took the stat course this semester for i in range(int(input())): V = list(map(int, input().split())) X, S = sampleVariance(V) print("{}".format("uniform" if max(V) < 1.9*(S**0.5) else "poisson"))

PYTHON

d1698

train

import itertools class Nonogram: poss = {(1,1,1): set([(1,0,1,0,1)]), (1,1): set([(0,0,1,0,1),(0,1,0,1,0),(1,0,1,0,0),(0,1,0,0,1),(1,0,0,1,0),(1,0,0,0,1)]), (1,2): set([(1,0,1,1,0),(1,0,0,1,1),(0,1,0,1,1)]), (1,3): set([(1,0,1,1,1)]), (2,1): set([(1,1,0,1,0),(1,1,0,0,1),(0,1,1,0,1)]), (2,2): set([(1,1,0,1,1)]), (3,1): set([(1,1,1,0,1)]), (1,): set([(0,0,0,0,1),(0,0,0,1,0),(0,0,1,0,0),(0,1,0,0,0),(1,0,0,0,0)]), (2,): set([(0,0,0,1,1),(0,0,1,1,0),(0,1,1,0,0),(1,1,0,0,0)]), (3,): set([(0,0,1,1,1),(0,1,1,1,0),(1,1,1,0,0)]), (4,): set([(0,1,1,1,1),(1,1,1,1,0)]), (5,): set([(1,1,1,1,1)])} def __init__(self, clues): self.h,self.w=(tuple(Nonogram.poss[clue] for clue in side) for side in clues) def solve(self): for r in itertools.product(*self.w): if all(c in self.h[i] for i,c in enumerate(zip(*r))): return r

PYTHON

d1699

train

from collections import deque def dbl_linear(n): h = 1; cnt = 0; q2, q3 = deque([]), deque([]) while True: if (cnt >= n): return h q2.append(2 * h + 1) q3.append(3 * h + 1) h = min(q2[0], q3[0]) if h == q2[0]: h = q2.popleft() if h == q3[0]: h = q3.popleft() cnt += 1

PYTHON

d1700

train

def doubles(maxk, maxn): return sum([ sum([ (n+1)**(-2*k) for n in range(1, maxn+1) ])/k for k in range(1, maxk+1) ])

PYTHON