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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Buber is a Berland technology company that specializes in waste of investor's money. Recently Buber decided to transfer its infrastructure to a cloud. The company decided to rent CPU cores in the cloud for n consecutive days, which are numbered from 1 to n. Buber requires k CPU cores each day. The cloud provider offers m tariff plans, the i-th tariff plan is characterized by the following parameters: * l_i and r_i β€” the i-th tariff plan is available only on days from l_i to r_i, inclusive, * c_i β€” the number of cores per day available for rent on the i-th tariff plan, * p_i β€” the price of renting one core per day on the i-th tariff plan. Buber can arbitrarily share its computing core needs between the tariff plans. Every day Buber can rent an arbitrary number of cores (from 0 to c_i) on each of the available plans. The number of rented cores on a tariff plan can vary arbitrarily from day to day. Find the minimum amount of money that Buber will pay for its work for n days from 1 to n. If on a day the total number of cores for all available tariff plans is strictly less than k, then this day Buber will have to work on fewer cores (and it rents all the available cores), otherwise Buber rents exactly k cores this day. Input The first line of the input contains three integers n, k and m (1 ≀ n,k ≀ 10^6, 1 ≀ m ≀ 2β‹…10^5) β€” the number of days to analyze, the desired daily number of cores, the number of tariff plans. The following m lines contain descriptions of tariff plans, one description per line. Each line contains four integers l_i, r_i, c_i, p_i (1 ≀ l_i ≀ r_i ≀ n, 1 ≀ c_i, p_i ≀ 10^6), where l_i and r_i are starting and finishing days of the i-th tariff plan, c_i β€” number of cores, p_i β€” price of a single core for daily rent on the i-th tariff plan. Output Print a single integer number β€” the minimal amount of money that Buber will pay. Examples Input 5 7 3 1 4 5 3 1 3 5 2 2 5 10 1 Output 44 Input 7 13 5 2 3 10 7 3 5 10 10 1 2 10 6 4 5 10 9 3 4 10 8 Output 462 Input 4 100 3 3 3 2 5 1 1 3 2 2 4 4 4 Output 64 Submitted Solution: ``` from collections import defaultdict from operator import itemgetter def find_index(list_to_check, index): left, right = 0, len(list_to_check) - 1 while True: if left == right: return left mid = left + ((right - left) // 2) if list_to_check[mid] <= index <= list_to_check[mid]: return mid if list_to_check[mid] > index: right = mid else: left = mid+1 n, k, m = map(int, input().split()) tarif_plans = [] split_dots = set() for i in range(m): l, r, c, p = map(int, input().split()) tarif_plans.append((l, r, c, p)) split_dots.add(l) split_dots.add(r) tarif_plans.sort(key=itemgetter(3)) split_dots = sorted(split_dots) date_ranges_tarif_plans = defaultdict(list) for l, r, c, p in tarif_plans: lef = find_index(split_dots, l) rig = find_index(split_dots, r) for index, point in enumerate(split_dots[lef:rig+1], lef): date_ranges_tarif_plans[(split_dots[index], point)].append((c, p)) total_price = 0 for (s, e), available_cores in date_ranges_tarif_plans.items(): cores = k days_diff = e-s+1 for av_core, price in available_cores: if av_core > cores: total_price += days_diff * cores * price break else: total_price += days_diff * av_core * price cores -= av_core print(total_price) ```
instruction
0
59,736
10
119,472
No
output
1
59,736
10
119,473
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,023
10
120,046
Tags: dp Correct Solution: ``` n = int(input()) t, c = [], [] for i in range(n): tt, cc = list(map(int, input().split())) t.append(tt) c.append(cc) def find(i: int, cnt: int) -> int: if cnt >= n: return 0 if i == n: return int(1e18) return min(find(i + 1, cnt), c[i] + find(i + 1, cnt + 1 + t[i])) f = [int(1e18)] * (n + 1) f[0] = 0 # f(n) - min price for n goods # for every ITEM(c, t) do: # f(i) = f(i - t[i] - 1) + c[i] for i in range(n): for j in range(len(f))[::-1]: f[j] = min(f[j], f[max(0, j - t[i] - 1)] + c[i]) print(f[-1]) # min: (i + 1, cnt) || c + (i + 1, cnt + t + 1) ```
output
1
60,023
10
120,047
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,024
10
120,048
Tags: dp Correct Solution: ``` import os import sys from io import BytesIO, IOBase # region fastio 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") # ------------------------------ from math import factorial from collections import Counter, defaultdict, deque from heapq import heapify, heappop, heappush def RL(): return map(int, sys.stdin.readline().rstrip().split()) def RLL(): return list(map(int, sys.stdin.readline().rstrip().split())) def N(): return int(input()) def comb(n, m): return factorial(n) / (factorial(m) * factorial(n - m)) if n >= m else 0 def perm(n, m): return factorial(n) // (factorial(n - m)) if n >= m else 0 def mdis(x1, y1, x2, y2): return abs(x1 - x2) + abs(y1 - y2) mod = 998244353 INF = float('inf') # ------------------------------ def main(): n = N() arr = [] sm = 0 for _ in range(n): t, c = RL() sm+=c arr.append((t+1, c)) dp = [INF]*(n+1) dp[0] = 0 for t, c in arr: for i in range(n, -1, -1): dp[i] = min(dp[i], dp[max(i-t, 0)]+c) print(dp[-1]) if __name__ == "__main__": main() ```
output
1
60,024
10
120,049
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,025
10
120,050
Tags: dp Correct Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO, IOBase def main(): n = int(input()) arr = [tuple(map(int,input().split())) for _ in range(n)] # time ; cost dp = [10**15]*(n+1) """dp[i] gives the price to be paid when requied time is i where req time is the time needed to steal items""" dp[n] = 0 for i in arr: for j in range(1,n+1): x = max(0,j-i[0]-1) dp[x] = min(dp[x],dp[j]+i[1]) print(dp[0]) # Fast IO Region 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") if __name__ == "__main__": main() ```
output
1
60,025
10
120,051
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,026
10
120,052
Tags: dp Correct Solution: ``` def read(): return [int(v) for v in input().split()] def main(): n = read()[0] t, c = [], [] for i in range(n): line = read() t.append(line[0] + 1) c.append(line[1]) MAX = 10 ** 15 dp = [MAX] * (n + 1) dp[0] = 0 for i in range(n): for j in range(n, -1, -1): dp[j] = min(dp[j], dp[max(0, j - t[i])] + c[i]) print(dp[n]) if __name__ == '__main__': main() ```
output
1
60,026
10
120,053
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,027
10
120,054
Tags: dp Correct Solution: ``` n=int(input()) ar=[float('inf')]*(n+1) ar[0]=0 for i in range(n): t,c=map(int,input().split()) for j in range(n-1,-1,-1): w=min(j+t+1,n) ar[w]=min(ar[w],ar[j]+c) print(ar[n]) ```
output
1
60,027
10
120,055
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,028
10
120,056
Tags: dp Correct Solution: ``` inf = float("inf") n=int(input()) time, val =[0], [0] ans=[inf for i in range(n+1)] ans[0]=0 for i in range(n): timeInp,valInp= [int(x) for x in input().split()] timeInp+=1#timeInp+=2 time.append(timeInp) val.append(valInp) for i in range(1,n+1): for j in range(n,0,-1): ans[j]=min(ans[j],ans[max(0,j-time[i])]+val[i])#(manter, pagarval[i] e liberar espaco) print(ans[n]) ```
output
1
60,028
10
120,057
Provide tags and a correct Python 3 solution for this coding contest problem. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111
instruction
0
60,029
10
120,058
Tags: dp Correct Solution: ``` # ------------------- 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 pre(s): n = len(s) pi = [0] * n for i in range(1, n): j = pi[i - 1] while j and s[i] != s[j]: j = pi[j - 1] if s[i] == s[j]: j += 1 pi[i] = j return pi def prod(a): ans = 1 for each in a: ans = (ans * each) 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 def knapsack(limit, values, weights): n = len(weights) dp = [[0]*(n+1) for i in range(limit+1)] for i in range(1, limit+1): for j in range(1, n+1): if i < weights[j-1]: dp[i][j] = dp[i][j-1] else: dp[i][j] = max(dp[i-weights[j-1]][j-1] + values[j-1], dp[i][j-1]) return dp[limit][n] from math import inf for _ in range(int(input()) if not 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() time = [0]*n vals = [0]*n for i in range(n): x, y = map(int, input().split()) time[i] = x + 1 vals[i] = y dp = [inf]*(n+1) dp[0] = 0 for i in range(1,n+1): for j in range(n, 0, -1): if j >= time[i-1]: dp[j] = min(dp[j], dp[j-time[i-1]]+vals[i-1]) else: dp[j] = min(dp[j],vals[i-1]) print(dp[n]) ```
output
1
60,029
10
120,059
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111 Submitted Solution: ``` inf = float("inf") n=int(input()) time, val =[0], [0] ans=[inf for i in range(n+1)] ans[0]=0 for i in range(n): timeInp,valInp= [int(x) for x in input().split()] timeInp+=1#timeInp+=2 time.append(timeInp) val.append(valInp) for i in range(1,n+1): for j in range(n,0,-1): ans[j]=min(ans[j],max(0,ans[j-time[i]])+val[i])#(manter, pagarval[i] e liberar espaco) print(ans[n]) ```
instruction
0
60,030
10
120,060
No
output
1
60,030
10
120,061
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111 Submitted Solution: ``` def coun(item): return item[1] c=[] for i in range(int(input())): a,b=map(int,input().split()) c.append([a,b]) c.sort(key=coun) flag=False l=[] for i in range(len(c)): if c[i][0]!=0: flag=True break else: l.append([0,c[i][1]]) if not flag: i+=1 start=i ans=0 for j in range(len(c)): ans+=c[j][1] while(start<len(c)): for j in range(c[start][0]): if len(c)!=start+1: ans-=c[len(c)-1][1] c.pop() else: if len(l)!=0: ans-=l[len(l)-1][1] l.pop() else: break start+=1 print(ans) ```
instruction
0
60,031
10
120,062
No
output
1
60,031
10
120,063
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111 Submitted Solution: ``` n = int(input()) t, c = [], [] for i in range(n): tt, cc = list(map(int, input().split())) t.append(tt) c.append(cc) def find(i: int, cnt: int) -> int: if i == n: if cnt == n: return 0 else: return int(1e9) return min(find(i + 1, cnt), c[i] + find(i + 1, cnt + 1 + t[i])) print(find(0, 0)) # min: (i + 1, cnt) || c + (i + 1, cnt + t + 1) ```
instruction
0
60,032
10
120,064
No
output
1
60,032
10
120,065
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob came to a cash & carry store, put n items into his trolley, and went to the checkout counter to pay. Each item is described by its price ci and time ti in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant. Input The first input line contains number n (1 ≀ n ≀ 2000). In each of the following n lines each item is described by a pair of numbers ti, ci (0 ≀ ti ≀ 2000, 1 ≀ ci ≀ 109). If ti is 0, Bob won't be able to steal anything, while the checkout assistant is occupied with item i. Output Output one number β€” answer to the problem: what is the minimum amount of money that Bob will have to pay. Examples Input 4 2 10 0 20 1 5 1 3 Output 8 Input 3 0 1 0 10 0 100 Output 111 Submitted Solution: ``` n = int(input()) lis = [] for i in range(n): k, l = map(int, input().split()) lis.append([k, l]) summ = 0 lis.sort(key=lambda x: x[1]) i, j = 0, n - 1 while i <= j: summ += lis[i][1] for x in range(lis[i][0]): j -= 1 if j == i: break i += 1 print(summ) ```
instruction
0
60,033
10
120,066
No
output
1
60,033
10
120,067
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,479
10
120,958
"Correct Solution: ``` A,B,C,X,Y = map(int,input().split()) print(min(A*X+B*Y,2*C*X+B*max(0,Y-X),2*C*Y+A*max(0,X-Y))) ```
output
1
60,479
10
120,959
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,480
10
120,960
"Correct Solution: ``` a,b,c,x,y=map(int,input().split()) m=min(a+b,2*c) if x>=y:print(m*y+min(a,2*c)*(x-y)) else:print(m*x+min(b,2*c)*(y-x)) ```
output
1
60,480
10
120,961
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,481
10
120,962
"Correct Solution: ``` A,B,C,X,Y=map(int,input().split()) v=10**10 for i in range(0,max(X,Y)*2+2): v=min(v,A*max(X-i,0)+B*max(Y-i,0)+C*i*2) print(v) ```
output
1
60,481
10
120,963
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,482
10
120,964
"Correct Solution: ``` a,b,c,x,y=map(int,input().split()) ans=float('inf') for i in range(10**5+1): tmp=2*i*c+a*max(x-i,0)+b*max(y-i,0) ans=min(tmp,ans) print(ans) ```
output
1
60,482
10
120,965
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,483
10
120,966
"Correct Solution: ``` A, B, C, X, Y = map(int, input().split()) print(min(A * X + B * Y, C * 2 * max(X,Y), C * 2 * min(X,Y) + max(A * (X - Y), B * (Y - X)))) ```
output
1
60,483
10
120,967
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,484
10
120,968
"Correct Solution: ``` a,b,c,x,y = map(int,input().split()) if x>y: s = c*y*2+(x-y)*a else: s = c*x*2+(y-x)*b print(min((a*x+b*y),(c*max(x,y)*2),s)) ```
output
1
60,484
10
120,969
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,485
10
120,970
"Correct Solution: ``` A,B,C,X,Y=list(map(int,input().split())) print(min([i*2*C+max(0,X-i)*A+max(0,Y-i)*B for i in range(10**5+1)])) ```
output
1
60,485
10
120,971
Provide a correct Python 3 solution for this coding contest problem. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000
instruction
0
60,486
10
120,972
"Correct Solution: ``` a,b,c,x,y=map(int,input().split()) print(min(max(x,y)*2*c,a*x+b*y,min(x,y)*2*c+a*(x-min(x,y))+(b*(y-min(x,y))))) ```
output
1
60,486
10
120,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000 Submitted Solution: ``` A, B, C, X, Y = map(int,input().split()) if X>Y: print(min(A*X+B*Y, A*(X-Y)+C*Y*2, C*X*2)) if Y>=X: print(min(A*X+B*Y, B*(Y-X)+C*X*2, C*Y*2)) ```
instruction
0
60,487
10
120,974
Yes
output
1
60,487
10
120,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000 Submitted Solution: ``` a,b,c,x,y = map(int,input().split()) res = min(a+b,2*c)*min(x,y) if x > y: res += min(a,2*c)*(x-y) else: res += min(b,2*c)*(y-x) print(res) ```
instruction
0
60,488
10
120,976
Yes
output
1
60,488
10
120,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000 Submitted Solution: ``` a, b, c, x, y = map(int, input().split()) [m,n],[M,N]= sorted([[x,a],[y,b]]) print(min(a*x+b*y,c*2*M,c*2*m+(M-m)*N)) ```
instruction
0
60,489
10
120,978
Yes
output
1
60,489
10
120,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000 Submitted Solution: ``` a,b,c,x,y = map(int, input().split()) ab = min(a+b,2*c) a = min(a,2*c) b = min(b,2*c) print((x-y)*a+y*ab if x>y else (y-x)*b+x*ab) ```
instruction
0
60,490
10
120,980
Yes
output
1
60,490
10
120,981
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000 Submitted Solution: ``` A, B, C, X, Y=map(int, input().split()) if (A+B)>2*c: ans=2*C*min(X, Y) if X>Y: if A>2*C: ans+=2*C*(X-Y) else: ans+=A*(X-Y) else: if B>2*C: ans+=2*C*(Y-X) else: ans+=B*(Y-X) else: ans=A*X+B*Y print(ans) ```
instruction
0
60,492
10
120,984
No
output
1
60,492
10
120,985
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. "Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are A yen, B yen and C yen (yen is the currency of Japan), respectively. Nakahashi needs to prepare X A-pizzas and Y B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas. Constraints * 1 ≀ A, B, C ≀ 5000 * 1 ≀ X, Y ≀ 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: A B C X Y Output Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas. Examples Input 1500 2000 1600 3 2 Output 7900 Input 1500 2000 1900 3 2 Output 8500 Input 1500 2000 500 90000 100000 Output 100000000 Submitted Solution: ``` A,B,C,X,Y = map(int,input().split()) mini=float("inf") for a in range(0,X+1): for b in range(0,Y+1): c_num = max( 2*(X-a), 2*(Y-b) ) P= A*a + B*b + C*c_num mini=min(mini,P) print(mini) ```
instruction
0
60,493
10
120,986
No
output
1
60,493
10
120,987
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,559
10
121,118
"Correct Solution: ``` # coding: utf-8 # Here your code ! dataCount = int(input()) while dataCount > 0: employeeSalesList = [] for _ in range(dataCount): dataList = input().split(" ") employeeId, price = int(dataList[0]), int(dataList[1]) * int(dataList[2]) found = False for data in employeeSalesList: if data[0] == employeeId: data[1] += price found = True if not found: employeeSalesList.append([employeeId, price]) answerList = [data[0] for data in employeeSalesList if data[1] >= 1000000] if answerList: print("\n".join(map(str, answerList))) else: print("NA") dataCount = int(input()) ```
output
1
60,559
10
121,119
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,560
10
121,120
"Correct Solution: ``` while True: n = int(input()) if n == 0: break data = {} staff = [] for i in range(n): x, y, z = [int(el) for el in input().split(' ')] if x in data: data[x] += y * z else: data[x] = y * z staff.append(x) if max(data.values()) < 1e6: print('NA') else: for k in staff: if data[k] >= 1e6: print(k) ```
output
1
60,560
10
121,121
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,561
10
121,122
"Correct Solution: ``` n = int(input()) while n != 0: earnings = [] for i in range(0,n): a = str.split(input(),' ') if i > 0 : for j in range(0,len(earnings)): if a[0] == earnings[j][0]: earnings[j][1] = str(int(earnings[j][1])+(int(a[1])*int(a[2]))) break if j == len(earnings) - 1:earnings.append([a[0],str(int(a[1])*int(a[2]))]) else:earnings.append([a[0],str(int(a[1])*int(a[2]))]) milionear = [] for i in range(0,len(earnings)): if int(earnings[i][1]) >= 1e6: milionear.append(earnings[i][0]) if len(milionear) == 0 : print('NA') else: for i in range(0,len(milionear)): print(milionear[i]) n = int(input()) ```
output
1
60,561
10
121,123
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,562
10
121,124
"Correct Solution: ``` while True: n = int(input()) if n == 0: break emp = [0] * 4001 used = set() for i in range(n): e, p, q = map(int, input().split()) emp[e] += p * q if 1000000 <= emp[e] and e not in used: print(e) used.add(e) if len(used) == 0: print("NA") ```
output
1
60,562
10
121,125
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,563
10
121,126
"Correct Solution: ``` from collections import Counter while True: n = int(input()) if n == 0: break counter = Counter() for _ in [0]*n: a, b, c = map(int, input().split()) counter[a] += b*c result = [str(k) for k, v in counter.items() if v >= 1000000] or ["NA"] print("\n".join(result)) ```
output
1
60,563
10
121,127
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,564
10
121,128
"Correct Solution: ``` from collections import OrderedDict while True: num = int(input()) if not num: break result = OrderedDict() for _ in range(num): x, y, z = [int(el) for el in input().split(' ')] if x in result: result[x] += y*z else: result[x] = y*z res = [print(k) for k,v in result.items() if v >= 1e6] if not res: print('NA') ```
output
1
60,564
10
121,129
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,565
10
121,130
"Correct Solution: ``` p = [] q = [] while True: n = int(input()) m = 0 number = [0] * 4000 if n == 0: break else: for i in range(n): p.append(i) q.append(i) e,p[i],q[i] = [int(s) for s in input().split(' ')] if number[e] >= 1000000: break else: number[e] = number[e] + p[i] * q[i] if number[e] >= 1000000: print(e) else: m = m + 1 if m == n: print('NA') ```
output
1
60,565
10
121,131
Provide a correct Python 3 solution for this coding contest problem. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013
instruction
0
60,566
10
121,132
"Correct Solution: ``` while True: input_n = int(input()) key = 0 if input_n == 0: break id_list = [[0 for i in range(2)]for i in range(input_n)] for i in range(input_n): id_line = input().split() for j in id_list: if j[0] == int(id_line[0]): j[1] += int(id_line[1]) * int(id_line[2]) uriage = j[1] break else: id_list[i][0] = int(id_line[0]) id_list[i][1] = int(id_line[1]) * int(id_line[2]) uriage = id_list[i][1] if uriage >= 1000000: key = 1 for i in id_list: if key == 0: print("NA") break if i[1] >= 1000000: print(i[0]) ```
output
1
60,566
10
121,133
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` n = int(input()) while n != 0: score = {} j = 0 for i in range(n): e,p,q = list(map(int,input().split())) if e in score: score[e]["value"] += p*q else: score[e] = {"value":p*q, "index":j} j += 1 f = {} for e,v in score.items(): if v["value"] >= 1000000: f[v["index"]] = e if len(f)==0: print("NA") else: for w in sorted(f.items(), key = lambda x:x[0]): print(w[1]) n = int(input()) ```
instruction
0
60,567
10
121,134
Yes
output
1
60,567
10
121,135
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` while True: n = int(input()) if n == 0: break workers = {} workernames = [] greatworkers = 0 for i in range(n): person, price, number = map(int, input().split()) if person in workers: workers[person] += price * number else: workers[person] = price * number workernames.append(person) for worker in workernames: if workers[worker] >= 1000000: print(worker) greatworkers += 1 if greatworkers == 0: print('NA') ```
instruction
0
60,568
10
121,136
Yes
output
1
60,568
10
121,137
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` while True: n = int(input()) if n == 0: break lst = [0]*4001 elst = [] ans = [] for i in range(n): e, p, q = map(int, input().split()) if lst[e]: pass else: elst.append(e) lst[e] = lst[e] + p*q for i in elst: if lst[i] >= 1000000: ans.append(i) if ans == []: print('NA') else: for i in ans: print(i) ```
instruction
0
60,569
10
121,138
Yes
output
1
60,569
10
121,139
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` while True: n = int(input()) if n == 0: break data = {} staff = [] for i in range(n): tmp = list(map(int, input().split(' '))) if tmp[0] in data: data[tmp[0]] += tmp[1] * tmp[2] else: data[tmp[0]] = tmp[1] * tmp[2] staff.append(tmp[0]) if max(data.values()) < 1000000: print('NA') else: for k in staff: if data[k] >= 1000000: print(k) ```
instruction
0
60,570
10
121,140
Yes
output
1
60,570
10
121,141
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` import sys input_lines = sys.stdin.readlines() cnt = 0 dataset = [] for i in input_lines: if not(' ' in i): dataset.append([int(i)]) cnt += 1 else:dataset[cnt-1].append(list(map(int, i.split(' ')))) ```
instruction
0
60,571
10
121,142
No
output
1
60,571
10
121,143
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` while True: num=int(input()) if num==0: break else: d={} for i in range (num): info=list(map(int,input().split())) try: d[info[0]]+=info[1]*info[2] except: d[info[0]]=info[1]*info[2] answer=[] for i in d.keys(): if d[i] >=1000000: answer.append(i) answer=sorted(answer) if answer==[]: print("NA") else: for i in answer: print(i) ```
instruction
0
60,572
10
121,144
No
output
1
60,572
10
121,145
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` while 1: a={};b=0 n=int(input()) if n==0:break for _ in[0]*n: e,p,q=map(int,input().split()) a.setdefault(e,0);a[e]+=p*q for e in a: if a[e]>=1e6:print(e);b=1 if b:print('NA') ```
instruction
0
60,573
10
121,146
No
output
1
60,573
10
121,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is data on sales of your company. Your task is to write a program which identifies good workers. The program should read a list of data where each item includes the employee ID i, the amount of sales q and the corresponding unit price p. Then, the program should print IDs of employees whose total sales proceeds (i.e. sum of p Γ— q) is greater than or equal to 1,000,000 in the order of inputting. If there is no such employees, the program should print "NA". You can suppose that n < 4000, and each employee has an unique ID. The unit price p is less than or equal to 1,000,000 and the amount of sales q is less than or equal to 100,000. Input The input consists of several datasets. The input ends with a line including a single 0. Each dataset consists of: n (the number of data in the list) i p q i p q : : i p q Output For each dataset, print a list of employee IDs or a text "NA" Example Input 4 1001 2000 520 1002 1800 450 1003 1600 625 1001 200 1220 2 1001 100 3 1005 1000 100 2 2013 5000 100 2013 5000 100 0 Output 1001 1003 NA 2013 Submitted Solution: ``` while(True): n = int(input()) if n==0: break d = {} c = 0 l = list() for _ in range(n): id_,p,q = map(int,input().split()) if id_ in d: d[id_] += p*q else: d[id_] = p*q l.append(id_) for i in d: if d[i] >= 1000000: print(i) c += 1 if c == 0: print('NA') ```
instruction
0
60,574
10
121,148
No
output
1
60,574
10
121,149
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,881
10
121,762
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` import math for _ in range(int(input())): n,W=map(int,input().split()) w=list(map(int,input().split())) a=[] s=0 for i in range(n): if w[i]<=W and w[i]>=math.ceil(W/2): a=[i+1] s=w[i] break; else: s+=w[i] if s>W: s-=w[i] else: a.append(i+1) if s>=math.ceil(W/2): break; if s>=math.ceil(W/2): print(len(a)) print(*a) else: print(-1) ```
output
1
60,881
10
121,763
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,882
10
121,764
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` t = int(input()) for _ in range(t): n, W = map(int, input().split()) w = list(map(int, input().split())) s = 0 c = [] f = False for i in range(n): if (W + 1) // 2 <= w[i] <= W: print(1) print(i + 1) f = True break elif w[i] < (W + 1) // 2: s += (w[i]) c.append(i + 1) if (W + 1) // 2 <= s <= W: print(len(c)) print(*c) f = True break if not f: print(-1) ```
output
1
60,882
10
121,765
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,883
10
121,766
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` from collections import defaultdict for _ in range(int(input())): n,w=map(int,input().split()) a=list(map(int,input().split())) ex = (w + 1) // 2 gg=False for i in range(n): if a[i]>=ex and a[i]<=w: gg=True print(1) print(i+1) break if gg: continue summ=0 ll=[] ans=False for i in range(n): if summ+a[i]<=w: summ+=a[i] ll.append(i+1) if summ>=ex: ans=True break if ans: print(len(ll)) print(*ll) else: print(-1) ```
output
1
60,883
10
121,767
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,884
10
121,768
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` import sys import bisect *data, = map(int, sys.stdin.read().split()[::-1]) def inp(): return data.pop() output = [] for _ in range(inp()): n, W = inp(), inp() *w, = [inp() for _ in range(n)] lbound = (W + 1) // 2 items = sorted(range(n), key=lambda i: w[i]) if w[items[0]] > W: output.append('-1') elif sum(w) < lbound: output.append('-1') else: s = 0 for i in range(n): if lbound <= w[items[i]] <= W: output.append('1') output.append(str(items[i] + 1)) break else: for i in range(n): s += w[items[i]] if s >= lbound and s <= W: ans = [v + 1 for v in items[:i + 1]] output.append(str(len(ans))) output.append(' '.join(map(str, sorted(ans)))) break else: output.append('-1') print('\n'.join(output)) ```
output
1
60,884
10
121,769
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,885
10
121,770
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` """ Don't see the standings during the contest!!! You will lose motivation. """ # ---------------------------------------------------Import Libraries--------------------------------------------------- import sys import time import os from math import sqrt, log, log2, ceil, log10, gcd, floor, pow, sin, cos, tan, pi, inf, factorial from copy import copy, deepcopy from sys import exit, stdin, stdout from collections import Counter, defaultdict, deque from itertools import permutations import heapq from bisect import bisect_left as bl # If the element is already present in the list, # the left most position where element has to be inserted is returned. from bisect import bisect_right as br from bisect import bisect # If the element is already present in the list, # the right most position where element has to be inserted is r # ---------------------------------------------------Global Variables--------------------------------------------------- # sys.setrecursionlimit(100000000) mod = 1000000007 # ---------------------------------------------------Helper Functions--------------------------------------------------- iinp = lambda: int(sys.stdin.readline()) inp = lambda: sys.stdin.readline().strip() strl = lambda: list(inp().strip().split(" ")) intl = lambda: list(map(int, inp().split(" "))) mint = lambda: map(int, inp().split()) flol = lambda: list(map(float, inp().split(" "))) flush = lambda: stdout.flush() def permute(nums): def fun(arr, nums, cur, v): if len(cur) == len(nums): arr.append(cur.copy()) i = 0 while i < len(nums): if v[i]: i += 1 continue else: cur.append(nums[i]) v[i] = 1 fun(arr, nums, cur, v) cur.pop() v[i] = 0 i += 1 # while i<len(nums) and nums[i]==nums[i-1]:i+=1 # Uncomment for unique permutations return arr res = [] nums.sort() v = [0] * len(nums) return fun(res, nums, [], v) def subsets(res, index, arr, cur): res.append(cur.copy()) for i in range(index, len(arr)): cur.append(arr[i]) subsets(res, i + 1, arr, cur) cur.pop() return res def sieve(N): root = int(sqrt(N)) primes = [1] * (N + 1) primes[0], primes[1] = 0, 0 for i in range(2, root + 1): if primes[i]: for j in range(i * i, N + 1, i): primes[j] = 0 return primes def bs(arr, l, r, x): if x < arr[0] or x > arr[len(arr) - 1]: return -1 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 isPrime(n): if n <= 1: return False if n <= 3: return True if n % 2 == 0 or n % 3 == 0: return False p = int(sqrt(n)) for i in range(5, p + 1, 6): if n % i == 0 or n % (i + 2) == 0: return False return True # -------------------------------------------------------Functions------------------------------------------------------ def solve(): n,w=mint() arr=intl() smallsum=0 small=[] for i in range(n): if arr[i]>w: continue if ceil(w/2)<=arr[i]<=w: print(1) print(i+1) return if smallsum+arr[i]<=w: smallsum+=arr[i] small.append(i+1) if ceil(w/2)<=smallsum<=w: print(len(small)) print(*small) return print(-1) # -------------------------------------------------------Main Code------------------------------------------------------ start_time = time.time() for _ in range(iinp()): solve() # print("--- %s seconds ---" % (time.time() - start_time)) ```
output
1
60,885
10
121,771
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,886
10
121,772
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` from math import ceil for T in range(int(input())): n,s=map(int,input().split()) w=list(map(int,input().split())) w=[[w[i],i+1] for i in range(n)] w.sort(key=lambda x:x[0]) s1=0 a=[] for i in range(n-1,-1,-1): val=w[i][0] s1+=val a.append(w[i][1]) if(s1>s): a.pop() s1-=val if(s1 < ceil(s/2)): print(-1) else: print(len(a)) print(*a) ```
output
1
60,886
10
121,773
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,887
10
121,774
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` class Weight: def __init__(self, w, i): self.weight = w self.index =i def __lt__(self, other): return self.weight < other.weight def solve(): n, total = (int(x) for x in input().strip().split()) arr = list(map(lambda x: Weight(x[0], x[1]), zip([int(x) for x in input().strip().split()], range(1, 1 + n)))) lim = total // 2 if total & 1: lim += 1 arr_gt_eq_lim = list(filter(lambda t: t.weight >= lim and t.weight <= total, arr)) arr_lt_lim = list(filter(lambda t: t.weight < lim, arr)) if len(arr_gt_eq_lim) > 0: print(1) print(arr_gt_eq_lim[0].index) return index, s = 0, 0 while index < len(arr_lt_lim): s += arr_lt_lim[index].weight if s >= lim: break index += 1 if index == len(arr_lt_lim): print(-1) else: print(1 + index) print(' '.join(map(str, map(lambda t: t.index, arr_lt_lim[:1 + index])))) if __name__ == '__main__': for _ in range(int(input().strip())): solve() ```
output
1
60,887
10
121,775
Provide tags and a correct Python 3 solution for this coding contest problem. You have a knapsack with the capacity of W. There are also n items, the i-th one has weight w_i. You want to put some of these items into the knapsack in such a way that their total weight C is at least half of its size, but (obviously) does not exceed it. Formally, C should satisfy: ⌈ W/2βŒ‰ ≀ C ≀ W. Output the list of items you will put into the knapsack or determine that fulfilling the conditions is impossible. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights of items in the knapsack. Input Each test contains multiple test cases. The first line contains the number of test cases t (1 ≀ t ≀ 10^4). Description of the test cases follows. The first line of each test case contains integers n and W (1 ≀ n ≀ 200 000, 1≀ W ≀ 10^{18}). The second line of each test case contains n integers w_1, w_2, ..., w_n (1 ≀ w_i ≀ 10^9) β€” weights of the items. The sum of n over all test cases does not exceed 200 000. Output For each test case, if there is no solution, print a single integer -1. If there exists a solution consisting of m items, print m in the first line of the output and m integers j_1, j_2, ..., j_m (1 ≀ j_i ≀ n, all j_i are distinct) in the second line of the output β€” indices of the items you would like to pack into the knapsack. If there are several possible lists of items satisfying the conditions, you can output any. Note that you don't have to maximize the sum of weights items in the knapsack. Example Input 3 1 3 3 6 2 19 8 19 69 9 4 7 12 1 1 1 17 1 1 1 Output 1 1 -1 6 1 2 3 5 6 7 Note In the first test case, you can take the item of weight 3 and fill the knapsack just right. In the second test case, all the items are larger than the knapsack's capacity. Therefore, the answer is -1. In the third test case, you fill the knapsack exactly in half.
instruction
0
60,888
10
121,776
Tags: constructive algorithms, greedy, sortings Correct Solution: ``` t = int(input()) for _ in range(t): n, w = map(int, input().split()) a = list(map(int, input().split())) for i in range(n): if w <= a[i] * 2 <= w * 2: print(1) print(i + 1) break else: t = 0 res = [] for i in range(n): if a[i] * 2 <= w: t += a[i] res.append(i + 1) if w <= t * 2 <= w * 2: print(len(res)) print(*res) break else: print(-1) ```
output
1
60,888
10
121,777