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The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
import sys input = sys.stdin.readline def judge(x): b = a[:] for i in range(n): b[i] = max(0, b[i] - i // x) return sum(b) >= m def binary_search(): l, r = 1, n while l <= r: m = (l + r) // 2 if judge(m): r = m - 1 else: l = m + 1 return l n, m = map(int, input().split()) a = list(map(int, input().split())) a.sort(reverse=True) ans = binary_search() if ans == n + 1: print(-1) else: print(ans)
IMPORT ASSIGN VAR VAR FUNC_DEF ASSIGN VAR VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR BIN_OP VAR VAR RETURN FUNC_CALL VAR VAR VAR FUNC_DEF ASSIGN VAR VAR NUMBER VAR WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER RETURN VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR FUNC_CALL VAR IF VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR VAR
The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
n, m = list(map(int, input().strip().split())) cups = list(map(int, input().strip().split())) full_coffe = sum(cups) if full_coffe < m: print("-1") exit() elif full_coffe == m: print(len(cups)) exit() cups.sort(reverse=True) def check_day(day): if day == 0: return False done = 0 for idx, c in enumerate(cups): done += max(0, c - idx // day) return done >= m lower = 0 upper = n while upper - lower > 1: middle = lower + (upper - lower) // 2 if check_day(middle): upper = middle else: lower = middle print(upper)
ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR IF VAR VAR EXPR FUNC_CALL VAR STRING EXPR FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER FUNC_DEF IF VAR NUMBER RETURN NUMBER ASSIGN VAR NUMBER FOR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR BIN_OP VAR VAR RETURN VAR VAR ASSIGN VAR NUMBER ASSIGN VAR VAR WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
n, m = map(int, input().split()) a = list(map(int, input().split())) a.sort(reverse=True) l = 1 r = n d = -1 while l <= r: mid = (l + r) // 2 ans = 0 for i in range(n): ans += max(0, a[i] - i // mid) if ans >= m: r = mid - 1 d = mid else: l = mid + 1 print(d)
ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
n, m = (int(t) for t in input().split(" ")) a = [int(t) for t in input().split(" ")] a.sort(reverse=True) def possible(d): total = 0 for i in range(d): step = 0 for j in range(i, n, d): total += max(a[j] - step, 0) step += 1 return total >= m l, r = 0, n + 1 while l < r: mid = (l + r) // 2 if possible(mid): r = mid else: l = mid + 1 if possible(l): print(l) else: print(-1)
ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR STRING ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR STRING EXPR FUNC_CALL VAR NUMBER FUNC_DEF ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR VAR VAR VAR FUNC_CALL VAR BIN_OP VAR VAR VAR NUMBER VAR NUMBER RETURN VAR VAR ASSIGN VAR VAR NUMBER BIN_OP VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER IF FUNC_CALL VAR VAR EXPR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR NUMBER
The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
import sys input = sys.stdin.buffer.readline n, m = map(int, input().split()) a = list(map(int, input().split())) a.sort(reverse=True) a = [0] + a sum_a = [] add = 0 for i in range(n + 1): add += a[i] sum_a.append(add) mini = 999999999999999 p = n i = 0 if sum(a) < m: print(-1) else: flag = 0 for i in range(n, 0, -1): while a[p] < (p - 1) // i: p -= 1 if ( sum_a[p] - ( p % i * (p // i) * (p // i + 1) // 2 + (i - p % i) * (p // i) * (p // i - 1) // 2 ) < m ): flag = 1 break if flag == 1: print(i + 1) else: print(i)
IMPORT ASSIGN VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR BIN_OP LIST NUMBER VAR ASSIGN VAR LIST ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR VAR VAR EXPR FUNC_CALL VAR VAR ASSIGN VAR NUMBER ASSIGN VAR VAR ASSIGN VAR NUMBER IF FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR NUMBER NUMBER WHILE VAR VAR BIN_OP BIN_OP VAR NUMBER VAR VAR NUMBER IF BIN_OP VAR VAR BIN_OP BIN_OP BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR NUMBER NUMBER BIN_OP BIN_OP BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR NUMBER NUMBER VAR ASSIGN VAR NUMBER IF VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
import sys input = sys.stdin.readline def binary_search(c1, c2): mi = (c1 + c2 + 1) // 2 if abs(c1 - c2) <= 1: return error_check(mi) else: if ok(mi): c2 = mi else: c1 = mi return binary_search(c1, c2) def ok(x): c = 0 for i in range(n): if a[i] >= i // x: c += a[i] - i // x else: break return True if c >= m else False def error_check(x): for i in range(max(1, x - 3), max(n + 1, x + 4)): if ok(i): return i n, m = map(int, input().split()) a = list(map(int, input().split())) a.sort(reverse=True) ans = binary_search(0, n + 1) if sum(a) >= m else -1 print(ans)
IMPORT ASSIGN VAR VAR FUNC_DEF ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR NUMBER NUMBER IF FUNC_CALL VAR BIN_OP VAR VAR NUMBER RETURN FUNC_CALL VAR VAR IF FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR RETURN FUNC_CALL VAR VAR VAR FUNC_DEF ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR IF VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN VAR VAR NUMBER NUMBER FUNC_DEF FOR VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF FUNC_CALL VAR VAR RETURN VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR
The only difference between easy and hard versions is the constraints. Polycarp has to write a coursework. The coursework consists of $m$ pages. Polycarp also has $n$ cups of coffee. The coffee in the $i$-th cup Polycarp has $a_i$ caffeine in it. Polycarp can drink some cups of coffee (each one no more than once). He can drink cups in any order. Polycarp drinks each cup instantly and completely (i.e. he cannot split any cup into several days). Surely, courseworks are not being written in a single day (in a perfect world of Berland, at least). Let's consider some day of Polycarp's work. Consider Polycarp drinks $k$ cups of coffee during this day and caffeine dosages of cups Polycarp drink during this day are $a_{i_1}, a_{i_2}, \dots, a_{i_k}$. Then the first cup he drinks gives him energy to write $a_{i_1}$ pages of coursework, the second cup gives him energy to write $max(0, a_{i_2} - 1)$ pages, the third cup gives him energy to write $max(0, a_{i_3} - 2)$ pages, ..., the $k$-th cup gives him energy to write $max(0, a_{i_k} - k + 1)$ pages. If Polycarp doesn't drink coffee during some day, he cannot write coursework at all that day. Polycarp has to finish his coursework as soon as possible (spend the minimum number of days to do it). Your task is to find out this number of days or say that it is impossible. -----Input----- The first line of the input contains two integers $n$ and $m$ ($1 \le n \le 2 \cdot 10^5$, $1 \le m \le 10^9$) — the number of cups of coffee and the number of pages in the coursework. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$), where $a_i$ is the caffeine dosage of coffee in the $i$-th cup. -----Output----- If it is impossible to write the coursework, print -1. Otherwise print the minimum number of days Polycarp needs to do it. -----Examples----- Input 5 8 2 3 1 1 2 Output 4 Input 7 10 1 3 4 2 1 4 2 Output 2 Input 5 15 5 5 5 5 5 Output 1 Input 5 16 5 5 5 5 5 Output 2 Input 5 26 5 5 5 5 5 Output -1 -----Note----- In the first example Polycarp can drink fourth cup during first day (and write $1$ page), first and second cups during second day (and write $2 + (3 - 1) = 4$ pages), fifth cup during the third day (and write $2$ pages) and third cup during the fourth day (and write $1$ page) so the answer is $4$. It is obvious that there is no way to write the coursework in three or less days. In the second example Polycarp can drink third, fourth and second cups during first day (and write $4 + (2 - 1) + (3 - 2) = 6$ pages) and sixth cup during second day (and write $4$ pages) so the answer is $2$. It is obvious that Polycarp cannot write the whole coursework in one day in this test. In the third example Polycarp can drink all cups of coffee during first day and write $5 + (5 - 1) + (5 - 2) + (5 - 3) + (5 - 4) = 15$ pages of coursework. In the fourth example Polycarp cannot drink all cups during first day and should drink one of them during the second day. So during first day he will write $5 + (5 - 1) + (5 - 2) + (5 - 3) = 14$ pages of coursework and during second day he will write $5$ pages of coursework. This is enough to complete it. In the fifth example Polycarp cannot write the whole coursework at all, even if he will drink one cup of coffee during each day, so the answer is -1.
n, m = map(int, input().split()) A = list(map(int, input().split())) if sum(A) < m: print(-1) exit() A.sort(reverse=True) def is_ok(x): temp = 0 for i in range(n): temp += max(0, A[i] - i // x) if temp >= m: return True else: return False ng = 0 ok = n while ng + 1 < ok: c = (ng + ok) // 2 if is_ok(c): ok = c else: ng = c print(ok)
ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER FUNC_DEF ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR RETURN NUMBER RETURN NUMBER ASSIGN VAR NUMBER ASSIGN VAR VAR WHILE BIN_OP VAR NUMBER VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
def readn(): return map(int, input().split()) n, m, a = readn() n = min(n, m) m = n b = sorted(readn())[-n:] p = sorted(readn()) r = 0 while r < n: t = (r + 1 + n) // 2 a1 = sum([max(0, p[i] - b[m + i - t]) for i in range(t)]) if a1 <= a: r = t else: n = t - 1 print(r, max(0, sum(p[:r]) - a))
FUNC_DEF RETURN FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR VAR FUNC_CALL VAR VAR IF VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR FUNC_CALL VAR NUMBER BIN_OP FUNC_CALL VAR VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
import sys input = sys.stdin.readline n, m, a = map(int, input().split()) b = list(map(int, input().split())) p = list(map(int, input().split())) b.sort(reverse=True) p.sort() l = 0 r = min(n, m) + 1 ans_use = 0 while r - l > 1: k = (l + r) // 2 rem = a tar_b = b[:k][::-1] tar_p = p[:k] use = 0 cnt = 0 for i in range(k): if tar_b[i] >= tar_p[i]: use += tar_p[i] cnt += 1 elif rem >= tar_p[i] - tar_b[i]: rem -= tar_p[i] - tar_b[i] use += tar_b[i] cnt += 1 else: break if cnt == k: l = k ans_use = max(sum(tar_p) - a, 0) else: r = k print(l, ans_use)
IMPORT ASSIGN VAR VAR ASSIGN VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP FUNC_CALL VAR VAR VAR NUMBER ASSIGN VAR NUMBER WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR ASSIGN VAR VAR VAR NUMBER ASSIGN VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR IF VAR VAR VAR VAR VAR VAR VAR VAR NUMBER IF VAR BIN_OP VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR VAR VAR VAR VAR VAR NUMBER IF VAR VAR ASSIGN VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR NUMBER ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
import sys cases = False def fast_pow(a: int, b: int): res = 1 while b > 0: if b & 1: res *= a a *= a b >>= 1 return res def c2(n): return n * (n - 1) // 2 def get(): return list(map(int, input().split())) def bits(n: int): return list(bin(n)).count("1") def main(test_case=False): n = int(input()) if test_case else 1 for _ in range(n): test() def flush(): sys.stdout.flush() def parr(arr): print(*arr, sep=" ") def gcd(a, b): while b: if b % a == 0: break tmp = a a = b % a b = tmp return a def ext_gcd(a: int, b: int): if b == 0: return [a, [1, 0]] res = ext_gcd(b, a % b) g = res[0] x1 = res[1][0] y1 = res[1][1] x = y1 y = x1 - y1 * (a // b) return [g, [x, y]] b = [] p = [] n = m = a = 0 def check(cnt): if cnt == 0: return True x = b[-cnt:] y = p[:cnt] s = a i = 0 while i < cnt and s >= 0: s -= max(0, y[i] - x[i]) i += 1 return s >= 0 def test(): nonlocal n, m, a, b, p n, m, a = get() b = sorted(get()) p = sorted(get()) left = 0 right = min(n, m) ans = -1 while left <= right: mid = (left + right) // 2 if check(mid): ans = max(ans, mid) left = mid + 1 else: right = mid - 1 if ans == -1: print(0, 0) return t = 0 x = b[-ans:] y = p[:ans] i = 0 while i < ans: t += min(x[i], y[i]) a -= max(0, y[i] - x[i]) i += 1 print(ans, max(0, t - a)) main(cases)
IMPORT ASSIGN VAR NUMBER FUNC_DEF VAR VAR ASSIGN VAR NUMBER WHILE VAR NUMBER IF BIN_OP VAR NUMBER VAR VAR VAR VAR VAR NUMBER RETURN VAR FUNC_DEF RETURN BIN_OP BIN_OP VAR BIN_OP VAR NUMBER NUMBER FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF VAR RETURN FUNC_CALL FUNC_CALL VAR FUNC_CALL VAR VAR STRING FUNC_DEF NUMBER ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER FOR VAR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR FUNC_DEF EXPR FUNC_CALL VAR FUNC_DEF EXPR FUNC_CALL VAR VAR STRING FUNC_DEF WHILE VAR IF BIN_OP VAR VAR NUMBER ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR VAR RETURN VAR FUNC_DEF VAR VAR IF VAR NUMBER RETURN LIST VAR LIST NUMBER NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR NUMBER ASSIGN VAR VAR NUMBER NUMBER ASSIGN VAR VAR NUMBER NUMBER ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR RETURN LIST VAR LIST VAR VAR ASSIGN VAR LIST ASSIGN VAR LIST ASSIGN VAR VAR VAR NUMBER FUNC_DEF IF VAR NUMBER RETURN NUMBER ASSIGN VAR VAR VAR ASSIGN VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR VAR NUMBER VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR VAR VAR VAR NUMBER RETURN VAR NUMBER FUNC_DEF ASSIGN VAR VAR VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER IF VAR NUMBER EXPR FUNC_CALL VAR NUMBER NUMBER RETURN ASSIGN VAR NUMBER ASSIGN VAR VAR VAR ASSIGN VAR VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
import sys input = sys.stdin.readline def check(val, money): j = 0 for i in range(n - val, n): if b[i] >= p[j]: j += 1 continue diff = p[j] - b[i] if money - diff < 0: return 0 money -= diff j += 1 return 1 for _ in range(1): n, m, a = map(int, input().split()) b = list(map(int, input().split())) p = list(map(int, input().split())) b.sort() p.sort() low = 0 high = min(n, m) r = 0 while low <= high: mid = low + (high - low) // 2 if check(mid, a): r = mid low = mid + 1 else: high = mid - 1 val = r cost = max(sum(p[0:val]) - a, 0) print(val, cost)
IMPORT ASSIGN VAR VAR FUNC_DEF ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR VAR VAR IF VAR VAR VAR VAR VAR NUMBER ASSIGN VAR BIN_OP VAR VAR VAR VAR IF BIN_OP VAR VAR NUMBER RETURN NUMBER VAR VAR VAR NUMBER RETURN NUMBER FOR VAR FUNC_CALL VAR NUMBER ASSIGN VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR NUMBER VAR VAR NUMBER EXPR FUNC_CALL VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
def check(mid): need = 0 for i in range(mid): if mon[n - mid + i] < pri[i]: need += pri[i] - mon[n - mid + i] return need <= a n, m, a = list(map(int, input().split())) mon = sorted(map(int, input().split())) pri = sorted(map(int, input().split())) l = 0 r = min(n, m) while l <= r: mid = l + (r - l) // 2 if check(mid): l = mid + 1 else: r = mid - 1 print(r, max(0, sum(pri[:r]) - a))
FUNC_DEF ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR IF VAR BIN_OP BIN_OP VAR VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR RETURN VAR VAR ASSIGN VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR WHILE VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR FUNC_CALL VAR NUMBER BIN_OP FUNC_CALL VAR VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
wejscie1 = list(map(int, input().strip().split())) ilChlopcow = wejscie1[0] ilRowerow = wejscie1[1] budzet = wejscie1[2] pieniadzeChlopcow = list(map(int, input().strip().split())) cenyRowerow = list(map(int, input().strip().split())) pieniadzeChlopcow = sorted(pieniadzeChlopcow) cenyRowerow = sorted(cenyRowerow) bikesBoysCanRent = 0 totalCostOfRenting = 0 ownMoneyRequired = 0 def czyMoznaWypozyczyc(ilSprawdzonychRowerow): budzet2 = budzet if ilSprawdzonychRowerow > ilChlopcow: return False for x in range(ilSprawdzonychRowerow): roznica = ( pieniadzeChlopcow[ilChlopcow - x - 1] - cenyRowerow[ilSprawdzonychRowerow - x - 1] ) if roznica >= 0: continue budzet2 = budzet2 + roznica if budzet2 < 0: return False return True def binarySearch(lewy, prawy): while lewy < prawy: mid = (lewy + prawy + 1) // 2 if czyMoznaWypozyczyc(mid) == True: lewy = mid else: prawy = mid - 1 return lewy bikesBoysCanRent = binarySearch(0, ilRowerow) for x in range(bikesBoysCanRent): totalCostOfRenting += cenyRowerow[x] wyjscie2 = totalCostOfRenting - budzet if wyjscie2 < 0: wyjscie2 = 0 print(bikesBoysCanRent, wyjscie2)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR NUMBER ASSIGN VAR VAR NUMBER ASSIGN VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR VAR ASSIGN VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER FUNC_DEF ASSIGN VAR VAR IF VAR VAR RETURN NUMBER FOR VAR FUNC_CALL VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER VAR BIN_OP BIN_OP VAR VAR NUMBER IF VAR NUMBER ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER RETURN NUMBER RETURN NUMBER FUNC_DEF WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR NUMBER NUMBER IF FUNC_CALL VAR VAR NUMBER ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER RETURN VAR ASSIGN VAR FUNC_CALL VAR NUMBER VAR FOR VAR FUNC_CALL VAR VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER ASSIGN VAR NUMBER EXPR FUNC_CALL VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
n, m, a = map(int, input().split()) b, p = sorted(map(int, input().split())), sorted(map(int, input().split())) def f(k): return sum(max(0, p[i] - b[n - k + i]) for i in range(k)) def g(k): return sum(min(b[n - k + i], p[i]) for i in range(k)) x, y, d = 0, min(n, m) + 1, a while y - x > 1: k = (x + y) // 2 s = f(k) if s > a: y = k else: x, d = k, s print(x, max(0, g(x) - a + d))
ASSIGN VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR BIN_OP BIN_OP VAR VAR VAR VAR VAR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR NUMBER BIN_OP FUNC_CALL VAR VAR VAR NUMBER VAR WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR IF VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR FUNC_CALL VAR NUMBER BIN_OP BIN_OP FUNC_CALL VAR VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
3 def readln(): return tuple(map(int, input().split())) n, m, a = readln() b = list(sorted(readln())) p = list(sorted(readln())) l = ost = 0 r = min(m, n) + 1 while r - l > 1: k = (r + l) // 2 s = d = 0 for x, y in zip(b[-k:], p[:k]): if x < y: d += y - x s += y if d <= a: l = k ost = max(0, s - a) else: r = k print(l, ost)
EXPR NUMBER FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR NUMBER ASSIGN VAR BIN_OP FUNC_CALL VAR VAR VAR NUMBER WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR NUMBER FOR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR IF VAR VAR VAR BIN_OP VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
def readn(): return list(map(int, input().split())) n, m, a = readn() b, p = sorted(map(int, input().split()))[-min(n, m) :], sorted( map(int, input().split()) ) r = min(n, m) mm = r l = 0 while l <= r: mid = l + (r - l) // 2 pri = sum([max(0, p[i] - b[mm - mid + i]) for i in range(mid)]) if pri <= a: l = mid + 1 else: r = mid - 1 print(r, max(0, sum(p[:r]) - a))
FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR VAR FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR VAR FUNC_CALL VAR VAR IF VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR FUNC_CALL VAR NUMBER BIN_OP FUNC_CALL VAR VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
n, m, a = list(map(int, input().split())) b = sorted(map(int, input().split())) p = sorted(map(int, input().split())) left = 1 right = min(n, m) while left <= right: mid = (left + right) // 2 if a >= sum(max(0, x - y) for x, y in zip(p[:mid], b[-mid:])): left = mid + 1 else: right = mid - 1 print(right, max(0, sum(p[:right]) - a))
ASSIGN VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR FUNC_CALL VAR NUMBER BIN_OP FUNC_CALL VAR VAR VAR VAR
A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them. The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_{j} rubles. In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_{i} personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike. Each boy can rent at most one bike, one cannot give his bike to somebody else. What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible? -----Input----- The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10^5; 0 ≤ a ≤ 10^9). The second line contains the sequence of integers b_1, b_2, ..., b_{n} (1 ≤ b_{i} ≤ 10^4), where b_{i} is the amount of the i-th boy's personal money. The third line contains the sequence of integers p_1, p_2, ..., p_{m} (1 ≤ p_{j} ≤ 10^9), where p_{j} is the price for renting the j-th bike. -----Output----- Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0. -----Examples----- Input 2 2 10 5 5 7 6 Output 2 3 Input 4 5 2 8 1 1 2 6 3 7 5 2 Output 3 8 -----Note----- In the first sample both schoolchildren can rent a bike. For instance, they can split the shared budget in half (5 rubles each). In this case one of them will have to pay 1 ruble from the personal money and the other one will have to pay 2 rubles from the personal money. In total, they spend 3 rubles of their personal money. This way of distribution of money minimizes the amount of spent personal money.
K = int(input().split()[2]) A = list(map(int, input().split())) B = list(map(int, input().split())) def canMake(partA, partB, K): for a, b in zip(partA, partB): if a >= b: pass else: K -= b - a if K < 0: return -1 return K def paramSearch(A, B, K): L = 0 R = min(len(A), len(B)) + 1 while L < R: M = int(L + (R - L) / 2) if canMake(A[-M:], B[:M], K) >= 0: L = M + 1 else: R = M return L A.sort() B.sort() bike = paramSearch(A, B, K) - 1 print(bike, end=" ") print(0 if sum(B[:bike]) - K < 0 else sum(B[:bike]) - K)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL FUNC_CALL VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF FOR VAR VAR FUNC_CALL VAR VAR VAR IF VAR VAR VAR BIN_OP VAR VAR IF VAR NUMBER RETURN NUMBER RETURN VAR FUNC_DEF ASSIGN VAR NUMBER ASSIGN VAR BIN_OP FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL VAR VAR NUMBER WHILE VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR VAR VAR VAR VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR RETURN VAR EXPR FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR BIN_OP FUNC_CALL VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR VAR STRING EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR NUMBER NUMBER BIN_OP FUNC_CALL VAR VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
def rint(): return int(input()) def rints(): return list(map(int, input().split())) n, k = rints() pos = [0] * (n + 1) pos[0] = 1 pos[1] = 1 for i in range(2, n + 1): pos[i] = pos[i - 1] + pos[i - 2] perm = list(range(1, n + 1)) i = 0 while i < n - 1: if pos[n - i - 1] < k: perm[i] += 1 perm[i + 1] -= 1 k -= pos[n - i - 1] i += 2 else: i += 1 print(" ".join(map(str, perm)))
FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER BIN_OP VAR NUMBER ASSIGN VAR NUMBER NUMBER ASSIGN VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR NUMBER WHILE VAR BIN_OP VAR NUMBER IF VAR BIN_OP BIN_OP VAR VAR NUMBER VAR VAR VAR NUMBER VAR BIN_OP VAR NUMBER NUMBER VAR VAR BIN_OP BIN_OP VAR VAR NUMBER VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
def F(n): a, b = 1, 0 for i in range(n): a, b = b, a + b return b def ans(n, k): if n == 0: return [] elif n == 1: return [1] elif k > F(n): return [2, 1] + [(i + 2) for i in ans(n - 2, k - F(n))] else: return [1] + [(i + 1) for i in ans(n - 1, k)] n, k = map(int, input().split()) print(" ".join([str(i) for i in ans(n, k)]))
FUNC_DEF ASSIGN VAR VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR BIN_OP VAR VAR RETURN VAR FUNC_DEF IF VAR NUMBER RETURN LIST IF VAR NUMBER RETURN LIST NUMBER IF VAR FUNC_CALL VAR VAR RETURN BIN_OP LIST NUMBER NUMBER BIN_OP VAR NUMBER VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR FUNC_CALL VAR VAR RETURN BIN_OP LIST NUMBER BIN_OP VAR NUMBER VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
n, k = map(int, input().split()) func = [1, 2] for i in range(2, 60): func.append(func[i - 1] + func[i - 2]) k -= 1 s = [(i + 1) for i in range(0, n)] for i in range(0, n - 1): if k >= func[n - i - 2]: k -= func[n - i - 2] s[i], s[i + 1] = s[i + 1], s[i] for i in range(n): print(s[i], end=" ")
ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER EXPR FUNC_CALL VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER VAR FUNC_CALL VAR NUMBER VAR FOR VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER IF VAR VAR BIN_OP BIN_OP VAR VAR NUMBER VAR VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR VAR FOR VAR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR VAR VAR STRING
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
def getFibCode(x): result = [] f = [1, 1] while f[-2] + f[-1] <= x: f.append(f[-2] + f[-1]) for i in f[:0:-1]: if i <= x: result.append(1) x -= i else: result.append(0) return result n, k = tuple(map(int, input().split())) scheme = getFibCode(k - 1) answer = list(range(1, n + 1)) j = n - 1 for i in scheme[::-1]: if i == 1: answer[j - 1], answer[j] = answer[j], answer[j - 1] j -= 1 else: j -= 1 print(" ".join(map(str, answer)))
FUNC_DEF ASSIGN VAR LIST ASSIGN VAR LIST NUMBER NUMBER WHILE BIN_OP VAR NUMBER VAR NUMBER VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR NUMBER FOR VAR VAR NUMBER NUMBER IF VAR VAR EXPR FUNC_CALL VAR NUMBER VAR VAR EXPR FUNC_CALL VAR NUMBER RETURN VAR ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER FOR VAR VAR NUMBER IF VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER VAR VAR VAR VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
n, m = [int(x) for x in input().split()] F = [1, 1] for i in range(2, n): F.append(F[-1] + F[-2]) perm = [(i + 1) for i in range(n)] for i in range(n): if m > F[n - 1 - i]: m -= F[n - 1 - i] perm[i], perm[i + 1] = perm[i + 1], perm[i] for k in perm: print(k, end=" ")
ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER VAR FUNC_CALL VAR VAR FOR VAR FUNC_CALL VAR VAR IF VAR VAR BIN_OP BIN_OP VAR NUMBER VAR VAR VAR BIN_OP BIN_OP VAR NUMBER VAR ASSIGN VAR VAR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR VAR FOR VAR VAR EXPR FUNC_CALL VAR VAR STRING
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
f, res = [1, 1], [] for i in range(50): f.append(f[-1] + f[-2]) n, k = map(int, input().split()) now, j = n - 1, 0 for i in range(n): res.append(i + 1) while k > 1: if k > f[now]: res[j], res[j + 1] = res[j + 1], res[j] k -= f[now] now -= 1 j += 1 for i in res: print(i, end=" ")
ASSIGN VAR VAR LIST NUMBER NUMBER LIST FOR VAR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR NUMBER ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR BIN_OP VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER WHILE VAR NUMBER IF VAR VAR VAR ASSIGN VAR VAR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR VAR VAR VAR VAR VAR NUMBER VAR NUMBER FOR VAR VAR EXPR FUNC_CALL VAR VAR STRING
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
def phib_gen(n): p = [1, 1] for i in range(2, n): p.append(p[-1] + p[-2]) return tuple(p) n, k = tuple(map(int, input().split())) phib = phib_gen(n + 1) def gen_sequence(n, k): while n > 0: if k >= phib[n - 1]: k -= phib[n - 1] n -= 2 yield 2 else: n -= 1 yield 1 def gen_perm(n, k): elem = 1 for i in gen_sequence(n, k): if i == 2: yield elem + 1 yield elem elem += 2 else: yield elem elem += 1 print(" ".join(map(str, gen_perm(n, k - 1))))
FUNC_DEF ASSIGN VAR LIST NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR NUMBER RETURN FUNC_CALL VAR VAR ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR NUMBER FUNC_DEF WHILE VAR NUMBER IF VAR VAR BIN_OP VAR NUMBER VAR VAR BIN_OP VAR NUMBER VAR NUMBER EXPR NUMBER VAR NUMBER EXPR NUMBER FUNC_DEF ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR VAR IF VAR NUMBER EXPR BIN_OP VAR NUMBER EXPR VAR VAR NUMBER EXPR VAR VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR FUNC_CALL VAR VAR BIN_OP VAR NUMBER
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
n, k = list(map(int, input().split())) fib = [0] * (n + 1) fib[0] = 1 fib[1] = 1 res = [0] * n for i in range(2, n): fib[i] = fib[i - 1] + fib[i - 2] idx = 0 while idx < n: if k <= fib[n - idx - 1]: res[idx] = idx + 1 idx += 1 else: k -= fib[n - idx - 1] res[idx] = idx + 2 res[idx + 1] = idx + 1 idx += 2 print(*res)
ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER BIN_OP VAR NUMBER ASSIGN VAR NUMBER NUMBER ASSIGN VAR NUMBER NUMBER ASSIGN VAR BIN_OP LIST NUMBER VAR FOR VAR FUNC_CALL VAR NUMBER VAR ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR NUMBER WHILE VAR VAR IF VAR VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
n, k = map(int, input().split()) f = [1, 1] for i in range(2, n): f.append(f[i - 2] + f[i - 1]) i = n while i > 0: i -= 1 if k > f[i]: print(n - i + 1, n - i, end=" ") k -= f[i] i -= 1 else: print(n - i, end=" ")
ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER VAR EXPR FUNC_CALL VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR VAR WHILE VAR NUMBER VAR NUMBER IF VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR NUMBER BIN_OP VAR VAR STRING VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR VAR STRING
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
n, k = map(int, input().split()) a = [(0) for i in range(n + 1)] a[0], a[1] = 1, 1 for i in range(2, n + 1): a[i] = a[i - 1] + a[i - 2] p = [(i + 1) for i in range(n)] i = 0 while i < n: if k > a[n - 1 - i]: p[i], p[i + 1] = p[i + 1], p[i] k -= a[n - 1 - i] i += 2 else: i += 1 p = [str(i) for i in p] print(" ".join(p))
ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR NUMBER VAR FUNC_CALL VAR BIN_OP VAR NUMBER ASSIGN VAR NUMBER VAR NUMBER NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER VAR FUNC_CALL VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR IF VAR VAR BIN_OP BIN_OP VAR NUMBER VAR ASSIGN VAR VAR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR VAR VAR VAR BIN_OP BIN_OP VAR NUMBER VAR VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR VAR EXPR FUNC_CALL VAR FUNC_CALL STRING VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
__author__ = "taras-sereda" n, k = map(int, input().split()) fib = [0] * (n + 1) fib[0], fib[1] = 1, 1 for i in range(2, n): fib[i] = fib[i - 1] + fib[i - 2] idx = 0 res = [None] * n while idx < n: if k <= fib[n - idx - 1]: res[idx] = idx + 1 idx += 1 else: k -= fib[n - idx - 1] res[idx] = idx + 2 res[idx + 1] = idx + 1 idx += 2 print(" ".join(map(str, res)))
ASSIGN VAR STRING ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER BIN_OP VAR NUMBER ASSIGN VAR NUMBER VAR NUMBER NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER VAR ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR BIN_OP LIST NONE VAR WHILE VAR VAR IF VAR VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
def calc(n, k): if n == 1: print(1) else: tot = [0] * (n + 1) tot[n] = 1 tot[n - 1] = 1 tot[n - 2] = 2 for i in range(n - 3, -1, -1): tot[i] = tot[i + 1] + tot[i + 2] def mPrint(a, b): print(b, end=" ") for i in range(a, b): print(i, end=" ") last = 0 for i in range(n): if k <= tot[i + 1]: mPrint(last + 1, i + 1) last = i + 1 else: k -= tot[i + 1] print() n, k = map(int, input().split()) calc(n, k)
FUNC_DEF IF VAR NUMBER EXPR FUNC_CALL VAR NUMBER ASSIGN VAR BIN_OP LIST NUMBER BIN_OP VAR NUMBER ASSIGN VAR VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER NUMBER ASSIGN VAR BIN_OP VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER NUMBER NUMBER ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER FUNC_DEF EXPR FUNC_CALL VAR VAR STRING FOR VAR FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR VAR STRING ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR IF VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
l = [1, 2] for i in range(1, 100): l.append(l[i] + l[i - 1]) if l[-1] > 10**18: break l = [0, 0] + l def perm(n, k): if n == 1 and k == 1: return [1] if n == 2 and k == 1: return [1, 2] if n == 2 and k == 2: return [2, 1] if k <= l[n]: return [1] + [(i + 1) for i in perm(n - 1, k)] return [2, 1] + [(i + 2) for i in perm(n - 2, k - l[n])] n, k = map(int, input().split(" ")) print(" ".join([str(x) for x in perm(n, k)]))
ASSIGN VAR LIST NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER EXPR FUNC_CALL VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER IF VAR NUMBER BIN_OP NUMBER NUMBER ASSIGN VAR BIN_OP LIST NUMBER NUMBER VAR FUNC_DEF IF VAR NUMBER VAR NUMBER RETURN LIST NUMBER IF VAR NUMBER VAR NUMBER RETURN LIST NUMBER NUMBER IF VAR NUMBER VAR NUMBER RETURN LIST NUMBER NUMBER IF VAR VAR VAR RETURN BIN_OP LIST NUMBER BIN_OP VAR NUMBER VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR RETURN BIN_OP LIST NUMBER NUMBER BIN_OP VAR NUMBER VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR STRING EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
n, k = [int(s) for s in input().split()] fibo = [0] * max(2, n) fibo[0] = 1 fibo[1] = 1 for i in range(2, n): fibo[i] = fibo[i - 1] + fibo[i - 2] def f(k): return fibo[k - 1] def dico(n, v): i, j = 2, n if f(j) <= v: return j, f(j) if v == 1: return 2, 1 while j - i > 1: m = j - i // 2 if f(m) < v: i = m elif f(m) == v: return m, v else: j = m return i, f(i) currentLine = 1 pos = [] long = n while currentLine != k: i, v = dico(long, k - currentLine) currentLine += v pos.append(n - i + 1) long = i - 2 prec = 0 for p in pos: for i in range(prec + 1, p): print(i, end=" ") print(p + 1, p, end=" ") prec = p + 1 for i in range(prec + 1, n + 1): print(i, end=" ")
ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER FUNC_CALL VAR NUMBER VAR ASSIGN VAR NUMBER NUMBER ASSIGN VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER VAR ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER FUNC_DEF RETURN VAR BIN_OP VAR NUMBER FUNC_DEF ASSIGN VAR VAR NUMBER VAR IF FUNC_CALL VAR VAR VAR RETURN VAR FUNC_CALL VAR VAR IF VAR NUMBER RETURN NUMBER NUMBER WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR NUMBER IF FUNC_CALL VAR VAR VAR ASSIGN VAR VAR IF FUNC_CALL VAR VAR VAR RETURN VAR VAR ASSIGN VAR VAR RETURN VAR FUNC_CALL VAR VAR ASSIGN VAR NUMBER ASSIGN VAR LIST ASSIGN VAR VAR WHILE VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR BIN_OP VAR VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR NUMBER FOR VAR VAR FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR EXPR FUNC_CALL VAR VAR STRING EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR STRING ASSIGN VAR BIN_OP VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR STRING
Let's define the permutation of length n as an array p = [p1, p2, ..., pn] consisting of n distinct integers from range from 1 to n. We say that this permutation maps value 1 into the value p1, value 2 into the value p2 and so on. Kyota Ootori has just learned about cyclic representation of a permutation. A cycle is a sequence of numbers such that each element of this sequence is being mapped into the next element of this sequence (and the last element of the cycle is being mapped into the first element of the cycle). The cyclic representation is a representation of p as a collection of cycles forming p. For example, permutation p = [4, 1, 6, 2, 5, 3] has a cyclic representation that looks like (142)(36)(5) because 1 is replaced by 4, 4 is replaced by 2, 2 is replaced by 1, 3 and 6 are swapped, and 5 remains in place. Permutation may have several cyclic representations, so Kyoya defines the standard cyclic representation of a permutation as follows. First, reorder the elements within each cycle so the largest element is first. Then, reorder all of the cycles so they are sorted by their first element. For our example above, the standard cyclic representation of [4, 1, 6, 2, 5, 3] is (421)(5)(63). Now, Kyoya notices that if we drop the parenthesis in the standard cyclic representation, we get another permutation! For instance, [4, 1, 6, 2, 5, 3] will become [4, 2, 1, 5, 6, 3]. Kyoya notices that some permutations don't change after applying operation described above at all. He wrote all permutations of length n that do not change in a list in lexicographic order. Unfortunately, his friend Tamaki Suoh lost this list. Kyoya wishes to reproduce the list and he needs your help. Given the integers n and k, print the permutation that was k-th on Kyoya's list. Input The first line will contain two integers n, k (1 ≤ n ≤ 50, 1 ≤ k ≤ min{1018, l} where l is the length of the Kyoya's list). Output Print n space-separated integers, representing the permutation that is the answer for the question. Examples Input 4 3 Output 1 3 2 4 Input 10 1 Output 1 2 3 4 5 6 7 8 9 10 Note The standard cycle representation is (1)(32)(4), which after removing parenthesis gives us the original permutation. The first permutation on the list would be [1, 2, 3, 4], while the second permutation would be [1, 2, 4, 3].
arr = [1] * 51 for i in range(2, 51): arr[i] = arr[i - 1] + arr[i - 2] ans = [] def generate(i, n, to): if i == n: assert to == 1 print(" ".join(map(str, ans))) return if i + 1 == n: ans.append(n) generate(i + 1, n, to) return if arr[n - i - 1] < to: ans.append(i + 2) ans.append(i + 1) generate(i + 2, n, to - arr[n - i - 1]) else: ans.append(i + 1) generate(i + 1, n, to) n, k = map(int, input().split()) generate(0, n, k)
ASSIGN VAR BIN_OP LIST NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR LIST FUNC_DEF IF VAR VAR VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL STRING FUNC_CALL VAR VAR VAR RETURN IF BIN_OP VAR NUMBER VAR EXPR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR VAR RETURN IF VAR BIN_OP BIN_OP VAR VAR NUMBER VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR BIN_OP VAR NUMBER VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
S = sorted for s in [*open(0)][1:]: x, y, a, b = map(int, s.split()) x, y = S((x, y)) a, b = S((a, b)) try: s = a + b A = k = min((y - x) // (b - a), x // a) x -= a * k y -= b * k k = min(x, y) // s A += 2 * k y, x = S((x - k * s, y - k * s)) print(A + 1 - (x < b or y < a)) except: print(x // a)
ASSIGN VAR VAR FOR VAR LIST FUNC_CALL VAR NUMBER NUMBER ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP FUNC_CALL VAR VAR VAR VAR VAR BIN_OP NUMBER VAR ASSIGN VAR VAR FUNC_CALL VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR NUMBER VAR VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) def good(m, x, y, a, b): a, b = max(a, b), min(a, b) if m * b <= y and m * a <= x: return True if m * a <= y and m * b <= x: return True if x <= m * a and y <= m * a: s = (x - m * b) // (a - b) e = (m * a - y) / (a - b) return s >= e def maxi(x, y, a, b): if a == b: return min(x // a, y // a) r = x + y + 2 l = 0 while r - l > 1: m = (r + l) // 2 if good(m, x, y, a, b): l = m else: r = m return l for _ in range(t): x, y, a, b = [int(x) for x in input().split()] print(maxi(x, y, a, b))
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_DEF ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR IF BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER IF BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER IF VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR VAR BIN_OP VAR VAR RETURN VAR VAR FUNC_DEF IF VAR VAR RETURN FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR NUMBER WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR VAR VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR RETURN VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = sys.stdin.readline t = int(input()) for tests in range(t): x, y, a, b = map(int, input().split()) if x > y: x, y = y, x if a > b: a, b = b, a MAX = x // (a + b) MIN = 0 MAXX = MAX MINX = MIN while MAX > MIN + 1: mid = (MAX + MIN) // 2 x2 = x - mid * (a + b) y2 = y - mid * (a + b) if y2 * a > b * x2: MAX = mid else: MIN = mid ANS = 0 for p in range(MIN - 10, MAX + 11): if MINX <= p <= MAXX: x2 = x - p * (a + b) y2 = y - p * (a + b) ANS = max(ANS, p * 2 + min(x2 // a, y2 // b)) print(ANS)
IMPORT ASSIGN VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR NUMBER ASSIGN VAR VAR ASSIGN VAR VAR WHILE VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP VAR NUMBER FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def test(): x, y, a, b = [int(_) for _ in input().split()] if x > y: x, y = y, x if a > b: a, b = b, a l, r = 0, 1000000001 while l < r: flag = False m = (l + r + 1) // 2 ux, uy = x - m * a, y - m * a if ux >= 0 and uy >= 0: if a == b: flag = True elif ux // (b - a) + uy // (b - a) >= m: flag = True if flag == True: l = m else: r = m - 1 print(l) for tc in range(int(input())): test()
FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR VAR NUMBER NUMBER WHILE VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR NUMBER NUMBER ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER IF VAR VAR ASSIGN VAR NUMBER IF BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR NUMBER IF VAR NUMBER ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def solve(): x, y, a, b = map(int, input().split()) if a == b: return min(x // a, y // a) if a > b: a, b = b, a L, H = 0, min(x // a, y // a) while L < H: M = L + H + 1 >> 1 v = (x - a * M) // (b - a) u = (y - a * M) // (b - a) if v + u < M: H = M - 1 else: L = M return L for i in range(int(input())): print(solve())
FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR RETURN FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR VAR NUMBER FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR NUMBER NUMBER ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR RETURN VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = map(int, input().split()) A = min(a, b) b = max(a, b) a = A dif2 = b - a A = min(x, y) y = max(x, y) x = A cnt = 0 dif1 = y - x if dif1 > dif2 and dif1 > 0 and dif2 > 0: cnt += min(x // a, y // b, dif1 // dif2) x -= a * cnt y -= b * cnt cr = min(x // (a + b), y // (a + b)) cnt += 2 * cr x -= cr * (a + b) y -= cr * (a + b) if x >= a and y >= b: cnt += 1 print(cnt)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP VAR VAR IF VAR VAR VAR NUMBER VAR NUMBER VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP NUMBER VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR IF VAR VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def solve(x, y, a, b): x, y = sorted([x, y]) a, b = sorted([a, b]) d1 = y - x d2 = b - a d3 = b + a if d2 == 0: return x // a if y * a > x * b: return x // a r1 = d1 // d2 x -= r1 * a y -= r1 * b r2 = x // d3 x -= r2 * d3 y -= r2 * d3 result = r1 + 2 * r2 if x >= a and y >= b: result += 1 return result T = int(input()) for _ in range(T): x, y, a, b = [int(z) for z in input().split()] result = solve(x, y, a, b) print(result)
FUNC_DEF ASSIGN VAR VAR FUNC_CALL VAR LIST VAR VAR ASSIGN VAR VAR FUNC_CALL VAR LIST VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER RETURN BIN_OP VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR RETURN BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP NUMBER VAR IF VAR VAR VAR VAR VAR NUMBER RETURN VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def gift_set(x, y, a, b): if a == b: return min(x // a, y // a) if a > b: a, b = b, a diff = b - a def can_make_gifts(mid): minx, miny = x - a * mid, y - a * mid can_make_sets = minx // diff + miny // diff >= mid return minx >= 0 and miny >= 0 and can_make_sets left, right, res = 0, 10**9, 0 while left <= right: mid = (left + right) // 2 if can_make_gifts(mid): res = mid left = mid + 1 else: right = mid - 1 return res R = lambda: map(int, input().split()) (test_cases,) = R() for test_case in range(test_cases): x, y, a, b = R() print(gift_set(x, y, a, b))
FUNC_DEF IF VAR VAR RETURN FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR FUNC_DEF ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR RETURN VAR NUMBER VAR NUMBER VAR ASSIGN VAR VAR VAR NUMBER BIN_OP NUMBER NUMBER NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER RETURN VAR ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def LI(): return list(map(int, sys.stdin.buffer.readline().split())) def LI1(): return list(map(int1, sys.stdin.buffer.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def BI(): return sys.stdin.buffer.readline().rstrip() def SI(): return sys.stdin.buffer.readline().rstrip().decode() dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 10**16 md = 998244353 def ok(): mn = (-y + a * m + a - b - 1) // (a - b) mx = (x - b * m) // (a - b) return mn <= mx and max(0, mn) <= min(m, mx) for testcase in range(II()): x, y, a, b = LI() if a < b: a, b = b, a if a == b: print(min(x, y) // a) continue l = -1 r = (x + y) // (a + b) + 1 while l + 1 < r: m = (l + r) // 2 if ok(): l = m else: r = m print(l)
IMPORT ASSIGN VAR BIN_OP FUNC_CALL VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR STRING FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR VAR FUNC_CALL VAR VAR FUNC_DEF RETURN FUNC_CALL VAR VAR FUNC_CALL VAR VAR FUNC_DEF RETURN FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER NUMBER ASSIGN VAR BIN_OP NUMBER NUMBER ASSIGN VAR NUMBER FUNC_DEF ASSIGN VAR BIN_OP BIN_OP BIN_OP BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR VAR NUMBER BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN VAR VAR FUNC_CALL VAR NUMBER VAR FUNC_CALL VAR VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER WHILE BIN_OP VAR NUMBER VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR ASSIGN VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for i in range(int(input())): x, y, a, b = list(map(int, input().split())) x, y = sorted([x, y]) a, b = sorted([a, b]) c = min(x // a, y // b) if a == b: d = x // (a + b) x -= d * (a + b) y -= d * (a + b) c = max(c, 2 * d + min(x // a, y // b)) else: x0, y0 = x, y d = x0 // (a + b) x0 -= d * (a + b) y0 -= d * (a + b) c = max(c, 2 * d + min(x0 // a, y0 // b)) d = (y - x) // (b - a) x -= d * a y -= d * b if x >= 0 and y >= 0: e = min(x, y) // (a + b) * 2 x -= e // 2 * (a + b) y -= e // 2 * (a + b) if x >= a and y >= b: e += 1 c = max(c, d + e) print(c)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR LIST VAR VAR ASSIGN VAR VAR FUNC_CALL VAR LIST VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP NUMBER VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP NUMBER VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER ASSIGN VAR BIN_OP BIN_OP FUNC_CALL VAR VAR VAR BIN_OP VAR VAR NUMBER VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR VAR IF VAR VAR VAR VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = map(int, input().split()) if a == b: print(min(x, y) // a) continue if a < b: b, a = a, b l, r, ans = 0, (x + y) // (a + b), -1 while l <= r: m = (l + r) // 2 i = max(0, (a * m - y + a - b - 1) // (a - b)) j = min(m, (x - b * m) // (a - b)) if i <= j: l, ans = m + 1, m else: r = m - 1 print(ans)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR VAR VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP BIN_OP BIN_OP BIN_OP BIN_OP BIN_OP VAR VAR VAR VAR VAR NUMBER BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR VAR BIN_OP VAR NUMBER VAR ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def f(x, y, a, b): tmp = x - y t = a - b if a == b: return y // a if y < tmp // t * b: return y // b Res = tmp // t y -= tmp // t * b x = y + tmp % t Res += y // (a + b) * 2 x -= (a + b) * (y // (a + b)) y %= a + b Res += min(x // a, y // b) return Res for m in range(int(input())): x, y, a, b = map(int, input().split()) x, y = max(x, y), min(x, y) a, b = max(a, b), min(a, b) print(f(x, y, a, b))
FUNC_DEF ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR VAR RETURN BIN_OP VAR VAR IF VAR BIN_OP BIN_OP VAR VAR VAR RETURN BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR NUMBER VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = sys.stdin.readline for _ in range(int(input())): x, y, a, b = map(int, input().split()) if a < b: a, b = b, a if x < y: x, y = y, x take = min(x // a, y // b) x -= a * take y -= b * take diff = a - b if not take: print(0) continue ans = take if diff: can_take = (x + y) // (a + b) target_for_x = can_take * a need_to_add = target_for_x - x transfer = need_to_add // diff x += transfer * diff y -= transfer * diff if need_to_add >= 0: if y >= 0: ans = max(ans, take + min(x // a, y // b)) if y - diff >= 0: ans = max(ans, take + min((x + diff) // a, (y - diff) // b)) print(ans)
IMPORT ASSIGN VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR VAR IF VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR IF VAR NUMBER IF VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = lambda: sys.stdin.readline().rstrip() def f(n): x1, y1 = x - n * a, y - n * b return n + min(x1 / b, y1 / a) def ternary_search(): l, r = 0, int(min(x / a, y / b)) while r - l > 3: m1 = int(l + (r - l) / 3) m2 = int(r - (r - l) / 3) if f(m1) < f(m2): l = m1 else: r = m2 ans1 = 0 for i in range(l, r + 1): ans1 = max(ans1, int(f(i))) return ans1 for _ in range(int(input())): x, y, a, b = map(int, input().split()) mx = min(x // a, y // b) ans = mx if a == b: print(min(x, y) // a) continue print(ternary_search())
IMPORT ASSIGN VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR RETURN BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR FUNC_DEF ASSIGN VAR VAR NUMBER FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR VAR BIN_OP VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR RETURN VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) for _ in range(t): x, y, a, b = map(int, input().split()) tmp = min((x + y) // (a + b), min(x, y) // min(a, b)) m1 = min(x, y) m2 = min(a, b) M1 = max(x, y) M2 = max(a, b) if a == b: print(tmp) else: d = (m1 - m2 * tmp) // (M2 - m2) if M2 * tmp - M1 - (M2 - m2) * d > 0: tmp -= 1 print(tmp)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR IF VAR VAR EXPR FUNC_CALL VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF BIN_OP BIN_OP BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for i in range(int(input())): x, y, a, b = map(int, input().split()) if a == b: print(min(x, y) // a) continue if a > b: a, b = b, a l = 0 r = 10**10 while l < r: m = (l + r) // 2 x1 = x - a * m y1 = y - a * m if x1 >= 0 and y1 >= 0 and x1 // (b - a) + y1 // (b - a) >= m: l = m + 1 else: r = m print(l - 1)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP NUMBER NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR NUMBER
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def g(x, y, a, b): if a == b: return min(x, y) // a f = lambda u: max(0, min((x - a * u) // b, (y - b * u) // a)) umax = min(x // a, y // b) o = max(0, f(0), umax + f(umax)) u_cont = (a * x - b * y) // (a**2 - b**2) if 0 < u_cont < umax: o = max(o, u_cont + f(u_cont)) if 0 < u_cont + 1 < umax and u_cont * (a**2 - b**2) != a * x - b * y: o = max(o, u_cont + 1 + f(u_cont + 1)) return o t = int(input()) for _ in range(t): x, y, a, b = [int(w) for w in input().split()] print(g(x, y, a, b))
FUNC_DEF IF VAR VAR RETURN BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR NUMBER BIN_OP VAR FUNC_CALL VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF NUMBER VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR VAR IF NUMBER BIN_OP VAR NUMBER VAR BIN_OP VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP VAR NUMBER FUNC_CALL VAR BIN_OP VAR NUMBER RETURN VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = map(int, input().split()) if x > y: x, y = y, x if a > b: a, b = b, a if y - x <= b - a: base1 = x // (a + b) base2 = min((x - base1 * (a + b)) // a, (y - base1 * (a + b)) // b) print(base1 * 2 + base2) else: if b == a: print(min(x // a, y // b)) continue base1 = (y - x) // (b - a) if x // a < base1: print(x // a) continue x -= base1 * a y -= base1 * b base2 = x // (a + b) x -= base2 * (a + b) y -= base2 * (a + b) ans = base1 + base2 * 2 if x >= a and y >= b: ans += 1 print(ans)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR NUMBER VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR IF BIN_OP VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR NUMBER IF VAR VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = sys.stdin.readline def solve(): x, y, a, b = map(int, input().split()) if b * b - a * a != 0: zz = (y * b - x * a) // (b * b - a * a) if zz >= 0: x1 = x - a * zz y1 = y - b * zz if x1 >= 0 and y1 >= 0: w = min(x1 // b, y1 // a) xx = x1 - b * w yy = y1 - a * w print(zz + w + min(xx // a, yy // b)) return w = min(x // a, y // b) xx = x - a * w yy = y - b * w r = w + min(xx // b, yy // a) w = min(x // b, y // a) xx = x - b * w yy = y - a * w r = max(r, w + min(xx // a, yy // b)) print(r) for i in range(int(input())): solve()
IMPORT ASSIGN VAR VAR FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR IF VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = map(int, input().split()) if a == b: print(min(x, y) // a) continue if a > b: a, b = b, a low = 0 high = (x + y) // (a + b) + 1 while high - low > 1: n = (low + high) // 2 if max(0, (n * b - x - 1) // (b - a) + 1) <= min(n, (y - n * a) // (b - a)): low = n else: high = n print(low)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR NUMBER BIN_OP BIN_OP BIN_OP BIN_OP BIN_OP VAR VAR VAR NUMBER BIN_OP VAR VAR NUMBER FUNC_CALL VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) for i in range(t): x, y, a, b = list(map(int, input().split())) if x > y: x, y = y, x if a < b: a, b = b, a ans = 0 if a == b: ans = max(ans, x // a) print(ans) elif a * x - y * b <= 0: ans = max(ans, x // b) print(ans) elif a * y - x * b > 0: j = (a * x - y * b) // (a * a - b * b) start = max(0, j - 3) end = min(start + 6, x // a + 1) for j in range(start, end): b_poss_x = max(0, (x - j * a) // b) a_poss_y = max(0, (y - j * b) // a) ans = max(ans, j + min(b_poss_x, a_poss_y)) print(ans) else: ans = max(ans, y // b) print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR NUMBER IF VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP BIN_OP VAR VAR NUMBER FOR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def solve(x, y, a, b): x, y = min(x, y), max(x, y) a, b = min(a, b), max(a, b) ans1 = x // a ans2 = y // b if ans1 <= ans2: return ans1 max_possible = (x + y) // (a + b) k = (y - x) // (b - a) co2 = (max_possible - k) // 2 co1 = (max_possible + k) // 2 max_ans = 0 store_ans1 = 0 store_ans2 = 0 for ans1 in range(max(0, co1 - 1), co1 + 2): for ans2 in range(max(0, co2 - 1), co2 + 2): if ans1 * a + ans2 * b <= x and ans2 * a + ans1 * b <= y: max_ans = max(max_ans, ans1 + ans2) store_ans1 = ans1 store_ans2 = ans2 return max_ans t = int(input()) for i in range(t): x, y, a, b = [int(x) for x in input().split()] print(solve(x, y, a, b))
FUNC_DEF ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR VAR RETURN VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER BIN_OP VAR NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR RETURN VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
n = int(input()) for _ in range(n): x, y, a, b = [int(i) for i in input().split()] if a == b: print(min(x // a, y // a)) else: n2 = (y * a - x * b) // (a**2 - b**2) n1 = (x * a - y * b) // (a**2 - b**2) if n2 < 0: print(min(x // a, y // b)) elif n1 < 0: print(min(x // b, y // a)) else: ans1 = min((x - a * n1) // b, (y - b * n1) // a) + n1 ans2 = min((y - a * n2) // b, (x - b * n2) // a) + n2 print(max(ans1, ans2))
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR VAR ASSIGN VAR BIN_OP FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = [int(u) for u in input().split()] a, b = max(a, b), min(a, b) if a == b: print(min(x, y) // a) continue N_max = (x + y) // (a + b) N_min = 0 N = 0 while N_max >= N_min: N = N_min + (N_max - N_min) // 2 n1 = min((x - N * b) // (a - b), N) n2 = max(-((y - a * N) // (a - b)), 0) if n2 > n1: N_max = N - 1 else: max_N = N N_min = N + 1 print(max_N)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR NUMBER ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR NUMBER IF VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = sys.stdin.readline def solve(): x, y, a, b = map(int, input().split()) w = min(x // a, y // b) xx = x - a * w yy = y - b * w r = w + min(xx // b, yy // a) w = min(x // b, y // a) xx = x - b * w yy = y - a * w r = max(r, w + min(xx // a, yy // b)) if b * b - a * a != 0: z = (y * b - x * a) // (b * b - a * a) for zz in range(z - 1, z + 2): if zz < 0: continue x1 = x - a * zz y1 = y - b * zz if x1 < 0 or y1 < 0: continue w = min(x1 // a, y1 // b) xx = x1 - a * w yy = y1 - b * w r = max(r, zz + w + min(xx // b, yy // a)) w = min(x1 // b, y1 // a) xx = x1 - b * w yy = y1 - a * w r = max(r, zz + w + min(xx // a, yy // b)) print(r) for i in range(int(input())): solve()
IMPORT ASSIGN VAR VAR FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import time def main(): t = i_input() for tt in range(t): x, y, a, b = li_input() if a == b: print(min(x, y) // a) continue a, b = max(a, b), min(a, b) l = 0 r = 1 + (x + y) // (a + b) while r - l > 1: mid = (r + l) // 2 mink = max(0, a * mid - y) maxk = x - b * mid if not mink % (a - b): mink //= a - b else: mink = 1 + mink // (a - b) if mink <= mid and mink * (a - b) <= maxk: l = mid else: r = mid print(l) def i_input(): return int(input()) def l_input(): return input().split() def li_input(): return list(map(int, l_input())) def il_input(): return list(map(int, l_input())) TT = time.time() main()
IMPORT FUNC_DEF ASSIGN VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP NUMBER BIN_OP VAR BIN_OP VAR VAR IF VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def solve(): x, y, a, b = map(int, input().split()) if a == b: return min(x, y) // a if x // b <= y // a and x // a <= y // b: return max(x // b, x // a) if x // b >= y // a and x // a >= y // b: return max(y // a, y // b) if a < b: a, b = b, a d = a * a - b * b m, n = (a * x - b * y) // d, (-b * x + a * y) // d best = 0 for mm in (m - 1, m, m + 1): for nn in (n - 1, n, n + 1): if mm < 0 or nn < 0 or a * mm + b * nn > x or a * nn + b * mm > y: continue best = max(best, mm + nn) return best for _ in range(int(input())): print(solve())
FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR RETURN BIN_OP FUNC_CALL VAR VAR VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR NUMBER FOR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER FOR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER IF VAR NUMBER VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR RETURN VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def main(): t = int(input()) INF = float("inf") for _ in range(t): x, y, a, b = map(int, input().split()) if a == b: ans = min(x // a, y // a) print(ans) continue p = (b * y - a * x) / (b * b - a * a) r = (b * x - a * y) / (b * b - a * a) ans = 0 if p > 0 and r > 0: p = round(p) r = round(r) for dp in range(-2, 3): for dr in range(-2, 3): np = p + dp nr = r + dr if np < 0 or nr < 0: continue if a * np + b * nr <= x and b * np + a * nr <= y: ans = max(ans, np + nr) else: T = [(x // a, 0), (0, x // b), (y // b, 0), (0, y // a)] for p, r in T: for dp in range(-2, 3): for dr in range(-2, 3): np = p + dp nr = r + dr if np < 0 or nr < 0: continue if a * np + b * nr <= x and b * np + a * nr <= y: ans = max(ans, np + nr) print(ans) main()
FUNC_DEF ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR STRING FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR NUMBER IF VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR VAR FOR VAR FUNC_CALL VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR ASSIGN VAR LIST BIN_OP VAR VAR NUMBER NUMBER BIN_OP VAR VAR BIN_OP VAR VAR NUMBER NUMBER BIN_OP VAR VAR FOR VAR VAR VAR FOR VAR FUNC_CALL VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def check(x, y, a, b, k): n = (x - a * k) // (b - a) if b > a and n >= 0: m = max(0, k - n) n = k - m if m >= 0 and n * a + m * b <= y: return True else: n = (y - b * k) // (a - b) if n >= 0: m = max(0, k - n) n = k - m if m >= 0 and m * a + n * b <= x: return True return False def check1(x, y, a, b, k): m = (x - b * k) // (a - b) if a > b and m >= 0: n = max(0, k - m) m = k - n if n >= 0 and n * a + m * b <= y: return True else: m = (y - a * k) // (b - a) if m >= 0: n = max(0, k - m) m = k - n if n >= 0 and m * a + n * b <= x: return True return False t = int(input()) t1 = 1 while t > 0: vals = list(map(int, input().split())) x = vals[0] y = vals[1] a = vals[2] b = vals[3] p_sol = (x + y) // (a + b) if a == b: print(min(x, y) // a) t -= 1 continue l = 0 ans = 0 while l <= p_sol: k = (l + p_sol) // 2 if check(x, y, a, b, k) or check1(x, y, a, b, k): ans = k l = k + 1 else: p_sol = k - 1 print(ans) t1 += 1 t -= 1
FUNC_DEF ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER RETURN NUMBER FUNC_DEF ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR IF VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER RETURN NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR NUMBER WHILE VAR NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR NUMBER ASSIGN VAR VAR NUMBER ASSIGN VAR VAR NUMBER ASSIGN VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR VAR VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR VAR NUMBER VAR NUMBER
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) for _ in range(t): x, y, a, b = map(int, input().split()) ans = max(min(x // a, y // b), min(x // b, y // a)) d = 0 if a != b: d = max(x * a - y * b, x * b - y * a) // abs(b * b - a * a) for k in range(max(d - 2, 0), d + 2): A = x - k * a B = y - k * b if A >= 0 and B >= 0: ans = max(ans, k + min(A // b, B // a)) for k in range(max(d - 2, 0), d + 2): A = y - k * a B = x - k * b if A >= 0 and B >= 0: ans = max(ans, k + min(A // b, B // a)) print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR NUMBER IF VAR VAR ASSIGN VAR BIN_OP FUNC_CALL VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR NUMBER NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR NUMBER NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def possible(a, b, x, y, total): if a == b: return total * a <= x if y < a * total: return False m = min((y - a * total) // (b - a), total) return a * m + b * (total - m) <= x t = int(input()) for _ in range(t): x, y, a, b = map(int, input().split()) if y < x: x, y = y, x if b < a: a, b = b, a left, right = 0, y // a if possible(a, b, x, y, right): print(right) continue while right - left > 1: mid = (left + right) // 2 if possible(a, b, x, y, mid): left = mid else: right = mid print(left)
FUNC_DEF IF VAR VAR RETURN BIN_OP VAR VAR VAR IF VAR BIN_OP VAR VAR RETURN NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR RETURN BIN_OP BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR VAR NUMBER BIN_OP VAR VAR IF FUNC_CALL VAR VAR VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR WHILE BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR VAR VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) for i in range(t): x, y, p, q = map(int, input().split()) x, y, p, q = max(x, y), min(x, y), max(p, q), min(p, q) if x / y > p / q: print(int(y / q)) elif p == q: print(int(y / q)) else: ans = int((x - y) / (p - q)) x = x - p * ans y = y - q * ans ans2 = int(y / (p + q)) x = x - (p + q) * ans2 y = y - (p + q) * ans2 ans3 = 0 while x >= p and y >= q: x = x - p y = y - q x, y = max(x, y), min(x, y) ans3 = ans3 + 1 print(ans + ans2 * 2 + ans3)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP BIN_OP VAR VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR NUMBER VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = list(map(int, input().split())) if x > y: x, y = y, x if a > b: a, b = b, a d, d1, v = y - x, b - a, 0 if d > d1: q = 10**18 if d1 != 0: q = d // d1 v1 = min(q, x // a, y // b) v += v1 x, y = x - a * v1, y - b * v1 val1, val2 = 2 * min(x // (a + b), y // (a + b)), 0 q1 = (x - a) // (a + b) q2 = (y - b) // (a + b) if min(x // a, y // b) != 0: val2 = 1 + 2 * min(q1, q2) print(v + max(val1, val2))
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR NUMBER IF VAR VAR ASSIGN VAR BIN_OP NUMBER NUMBER IF VAR NUMBER ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR VAR ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR VAR BIN_OP NUMBER FUNC_CALL VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR IF FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP NUMBER BIN_OP NUMBER FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR FUNC_CALL VAR VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = sys.stdin.readline def foo(x, y, k, a, b): if k < 0: return -1 if k * b > x or k * a > y: return -1 if (x - k * b) // a >= (y - k * a) // b: return 1 else: return -1 def bsearch(l, r, x, y, a, b): while l < r: m = (l + r) // 2 if foo(x, y, m, a, b) == 1: l = m + 1 else: r = m return l - 1 def f(x, y, a, b, k): if k < 0 or x < k * b or y < k * a: return -1 return k + min((x - k * b) // a, (y - k * a) // b) t = int(input()) for you in range(t): l = input().split() x = int(l[0]) y = int(l[1]) a = int(l[2]) b = int(l[3]) if a > b: a, b = b, a pp = bsearch(0, 10**10, x, y, a, b) ans = max(f(x, y, a, b, pp), f(x, y, a, b, pp + 1)) pp = bsearch(0, 10**10, y, x, a, b) ans = max(f(y, x, a, b, pp), f(y, x, a, b, pp + 1), ans) print(ans)
IMPORT ASSIGN VAR VAR FUNC_DEF IF VAR NUMBER RETURN NUMBER IF BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR RETURN NUMBER IF BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR RETURN NUMBER RETURN NUMBER FUNC_DEF WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR VAR VAR VAR VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR RETURN BIN_OP VAR NUMBER FUNC_DEF IF VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR RETURN NUMBER RETURN BIN_OP VAR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR NUMBER IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP NUMBER NUMBER VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR BIN_OP VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER BIN_OP NUMBER NUMBER VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR BIN_OP VAR NUMBER VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) for _ in range(t): x, y, a, b = list(map(int, input().split())) if a == b: print(min(x, y) // a) continue p = (a * x - b * y) / (a**2 - b**2) q = (b * x - a * y) / (b**2 - a**2) p = int(p) q = int(q) ans = max(min(x // a, y // b), min(x // b, y // a)) for i in range(p - 5, p + 5): for j in range(q - 5, q + 5): if i >= 0 and j >= 0: if x - a * i - j * b >= 0: if y - a * j - b * i >= 0: ans = max(ans, i + j) print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER IF VAR NUMBER VAR NUMBER IF BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR NUMBER IF BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = map(int, input().split()) x, y = min(x, y), max(x, y) a, b = min(a, b), max(a, b) if a == b: print(x // a) else: c = b - a z = y - x ans = 0 k = min(z // c, x // a) ans += k x -= a * k y -= b * k k = min(x, y) // (a + b) ans += 2 * k x -= (a + b) * k y -= (b + a) * k if max(x, y) >= b and min(x, y) >= a: ans += 1 print(ans)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP FUNC_CALL VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP NUMBER VAR VAR BIN_OP BIN_OP VAR VAR VAR VAR BIN_OP BIN_OP VAR VAR VAR IF FUNC_CALL VAR VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def add_solve(x, y, a, b): res = 0 alpha, beta = x // (a + b), y // (a + b) res += 2 * min(alpha, beta) x = x - min(alpha, beta) * (a + b) y = y - min(alpha, beta) * (a + b) if x < y: x, y = y, x if y < a: return res elif x < b: return res elif x >= b and y >= a: return res + 1 def solve(): x, y, a, b = [int(i) for i in input().split()] if a == b: print(min(x // a, y // a)) return if a > b: a, b = b, a if x > y: x, y = y, x if y < b or x < a: print(0) return res1 = (y - x) // (b - a) res2 = y // b res3 = x // a result = 0 tmp = min(res1, res2, res3) result += tmp y -= b * tmp x -= a * tmp result += add_solve(x, y, a, b) print(result) return for t in range(int(input())): solve()
FUNC_DEF ASSIGN VAR NUMBER ASSIGN VAR VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP NUMBER FUNC_CALL VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP FUNC_CALL VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP FUNC_CALL VAR VAR VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR RETURN VAR IF VAR VAR RETURN VAR IF VAR VAR VAR VAR RETURN BIN_OP VAR NUMBER FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR RETURN IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR VAR VAR EXPR FUNC_CALL VAR NUMBER RETURN ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR FUNC_CALL VAR VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR RETURN FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
t = int(input()) for zvhsuidhuzisdfhucodfgsdfhdfidi in range(t): x, y, a, b = map(int, input().split()) cnt = 0 if a > b: t = a a = b b = t if x > y: t = x x = y y = t if x // a < y // b: answer = x // a else: answer = y // b abc = y * b bcd = x * a cde = b * b efg = a * a if a == b: a = a else: cnt = (abc - bcd) // (cde - efg) for i in range(cnt, cnt + 2): if x - i * a > -1 and y - i * b > -1: answer = max(answer, i + min((x - i * a) // b, (y - i * b) // a)) print(answer)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR NUMBER IF VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR IF VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR FOR VAR FUNC_CALL VAR VAR BIN_OP VAR NUMBER IF BIN_OP VAR BIN_OP VAR VAR NUMBER BIN_OP VAR BIN_OP VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR FUNC_CALL VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
ts = int(input()) for case in range(0, ts): x, y, a, b = [int(p) for p in input().split()] if a > b: a, b = b, a if a == b: print(min(x // a, y // b)) continue res = 0 lo = 1 hi = 1000000000 while lo <= hi: mid = (lo + hi) // 2 r1 = x - a * mid r2 = y - a * mid dif = b - a if r1 >= 0 and r2 >= 0 and r1 // dif + r2 // dif >= mid: res = mid lo = mid + 1 else: hi = mid - 1 print(res)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR NUMBER VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for Z in range(int(input())): x, y, a, b = map(int, input().split()) if a == b: print(min(y, x) // a) continue if x > y: x, y = y, x if a > b: a, b = b, a ans = 0 awal_diambil = min((y - x) // (b - a), x // a) y -= awal_diambil * b x -= awal_diambil * a ans += awal_diambil akhir_diambil = x // (a + b) x -= akhir_diambil * (a + b) y -= akhir_diambil * (a + b) ans += akhir_diambil * 2 if x >= a and y >= b: ans += 1 print(ans)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER IF VAR VAR VAR VAR VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
for _ in range(int(input())): x, y, a, b = map(int, input().split()) if a == b: print(min(x // a, y // a)) else: t = abs(x - y) t2 = abs(a - b) k1 = t // t2 mi = min(a, b) ma = max(a, b) miel = min(x, y) mael = max(x, y) res = 0 k2 = miel // mi k3 = mael // ma tt = min(k1, k2, k3) miel -= tt * mi mael -= tt * ma res += tt if k1 == 0: if abs(t2 - t) < t2: if miel - mi > 0 and mael - ma > 0: res += 1 miel -= mi mael -= ma tot = mi + ma h1 = miel // tot h2 = mael // tot hh = min(h1, h2) res += hh * 2 miel -= hh * tot mael -= hh * tot t1 = max(min(mael // ma, miel // mi), min(mael // mi, miel // ma)) res += t1 print(res)
FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR VAR IF VAR NUMBER IF FUNC_CALL VAR BIN_OP VAR VAR VAR IF BIN_OP VAR VAR NUMBER BIN_OP VAR VAR NUMBER VAR NUMBER VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR VAR BIN_OP VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys IS_INTERACTIVE = False input = input if not IS_INTERACTIVE: (*data,) = sys.stdin.read().split("\n")[::-1] def input(): return data.pop() def fprint(*args, **kwargs): print(*args, **kwargs, flush=True) def eprint(*args, **kwargs): print(*args, **kwargs, file=sys.stderr) def getk(x, y, a, b): lo = 0 hi = y // b + 1 while lo != hi: mid = (lo + hi) // 2 if a * (x - mid * a) >= (y - mid * b) * b: lo = mid + 1 else: hi = mid return max(min(lo - 1, x // a, y // b), 1) for _ in range(int(input())): x, y, a, b = map(int, input().split()) if x < y: x, y = y, x if a < b: a, b = b, a if a == b: print(y // b) else: cnt = 0 while y >= b and x >= a: k = getk(x, y, a, b) x -= k * a y -= k * b cnt += k if x < y: x, y = y, x print(cnt)
IMPORT ASSIGN VAR NUMBER ASSIGN VAR VAR IF VAR ASSIGN VAR FUNC_CALL FUNC_CALL VAR STRING NUMBER FUNC_DEF RETURN FUNC_CALL VAR FUNC_DEF EXPR FUNC_CALL VAR VAR VAR NUMBER FUNC_DEF EXPR FUNC_CALL VAR VAR VAR VAR FUNC_DEF ASSIGN VAR NUMBER ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF BIN_OP VAR BIN_OP VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR VAR RETURN FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR NUMBER BIN_OP VAR VAR BIN_OP VAR VAR NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP VAR VAR ASSIGN VAR NUMBER WHILE VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys for _ in range(int(input())): x, y, a, b = map(int, sys.stdin.readline().split()) if a == b: print(min(x, y) // a) continue ans = 0 x, y = max(x, y), min(x, y) a, b = max(a, b), min(a, b) if b * x > a * y: x = int(a * y / b) xx = (a * x - b * y) // (a * a - b * b) yy = (a * y - b * x) // (a * a - b * b) ans = xx + yy yy1 = (y - b * xx) // a xx1 = (x - b * yy) // a ans = max(ans, xx + yy1, xx1 + yy) print(ans)
IMPORT FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR NUMBER ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR ASSIGN VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR VAR VAR IF BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR BIN_OP VAR VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = lambda: sys.stdin.readline().rstrip("\r\n") for _ in range(int(input())): n, m, x, y = [int(x) for x in input().split()] if x > y: x, y = y, x diff = y - x if x > min(n, m) or y > max(n, m): print(0) continue start, end = 1, 10**9 + 1 def isvalid(mid): a = n - mid * x b = m - mid * x if a < 0 or b < 0: return False if diff == 0: return True return a // diff + b // diff >= mid while start <= end: mid = (start + end) // 2 if isvalid(mid): ans = mid start = mid + 1 else: end = mid - 1 print(ans)
IMPORT ASSIGN VAR FUNC_CALL FUNC_CALL VAR STRING FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR VAR VAR ASSIGN VAR BIN_OP VAR VAR IF VAR FUNC_CALL VAR VAR VAR VAR FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR VAR NUMBER BIN_OP BIN_OP NUMBER NUMBER NUMBER FUNC_DEF ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER RETURN NUMBER IF VAR NUMBER RETURN NUMBER RETURN BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
def Solve(): x, y, a, b = [int(val) for val in input().split()] if a > b: t = a a = b b = t if a == b: ans = min(int(x / a), int(y / a)) print(ans) return low = 0 high = int(1000000000.0) ans = -1 while high >= low: mid = int((low + high) / 2) tx = x - a * mid ty = y - a * mid dif = b - a rem = int(tx / dif) + int(ty / dif) if tx >= 0 and ty >= 0 and rem >= mid: ans = mid low = mid + 1 else: high = mid - 1 print(ans) t = int(input()) for _ in range(t): Solve()
FUNC_DEF ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR ASSIGN VAR VAR IF VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR RETURN ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER ASSIGN VAR NUMBER WHILE VAR VAR ASSIGN VAR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP VAR VAR ASSIGN VAR BIN_OP FUNC_CALL VAR BIN_OP VAR VAR FUNC_CALL VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER VAR VAR ASSIGN VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys input = sys.stdin.readline def judge(c): if not (x >= c * m and y >= c * m): return False return (x - c * m) // (M - m) + (y - c * m) // (M - m) >= c def binary_search(): l, r = 0, 10**9 + 10 while l <= r: m = (l + r) // 2 if judge(m): l = m + 1 else: r = m - 1 return r for _ in range(int(input())): x, y, a, b = map(int, input().split()) if a == b: print(min(x, y) // a) continue m = min(a, b) M = max(a, b) print(binary_search())
IMPORT ASSIGN VAR VAR FUNC_DEF IF VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR RETURN NUMBER RETURN BIN_OP BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR BIN_OP VAR VAR BIN_OP VAR VAR VAR FUNC_DEF ASSIGN VAR VAR NUMBER BIN_OP BIN_OP NUMBER NUMBER NUMBER WHILE VAR VAR ASSIGN VAR BIN_OP BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER RETURN VAR FOR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR VAR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR ASSIGN VAR FUNC_CALL VAR VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
cases = int(input()) L = [] for _ in range(cases): L.append(list(map(int, input().split()))) for i in range(cases): x, y, a, b = L[i] c = 0 if a == b: print(min(x, y) // a) continue if a < b: a, b = b, a if x < y: x, y = y, x while x > y and x > 0 and y > 0: t = max(1, min(min(x // a, y // b), (x - y) // (a - b))) c += t x -= t * a y -= t * b if x < 0 or y < 0: x += a y += b c -= 1 x, y = y, x t = -1 while t != 0: t = x // (2 * a) c += 2 * t x -= t * (a + b) y -= t * (a + b) for _ in range(2): if x < y: x, y = y, x if x >= a and y >= b: c += 1 x -= a y -= b print(c)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR LIST FOR VAR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FOR VAR FUNC_CALL VAR VAR ASSIGN VAR VAR VAR VAR VAR VAR ASSIGN VAR NUMBER IF VAR VAR EXPR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR ASSIGN VAR VAR VAR VAR WHILE VAR VAR VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR VAR IF VAR NUMBER VAR NUMBER VAR VAR VAR VAR VAR NUMBER ASSIGN VAR VAR VAR VAR ASSIGN VAR NUMBER WHILE VAR NUMBER ASSIGN VAR BIN_OP VAR BIN_OP NUMBER VAR VAR BIN_OP NUMBER VAR VAR BIN_OP VAR BIN_OP VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR FOR VAR FUNC_CALL VAR NUMBER IF VAR VAR ASSIGN VAR VAR VAR VAR IF VAR VAR VAR VAR VAR NUMBER VAR VAR VAR VAR EXPR FUNC_CALL VAR VAR
Polycarp has $x$ of red and $y$ of blue candies. Using them, he wants to make gift sets. Each gift set contains either $a$ red candies and $b$ blue candies, or $a$ blue candies and $b$ red candies. Any candy can belong to at most one gift set. Help Polycarp to find the largest number of gift sets he can create. For example, if $x = 10$, $y = 12$, $a = 5$, and $b = 2$, then Polycarp can make three gift sets: In the first set there will be $5$ red candies and $2$ blue candies; In the second set there will be $5$ blue candies and $2$ red candies; In the third set will be $5$ blue candies and $2$ red candies. Note that in this example there is one red candy that Polycarp does not use in any gift set. -----Input----- The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow. Each test case consists of a single string containing four integers $x$, $y$, $a$, and $b$ ($1 \le x, y, a, b \le 10^9$). -----Output----- For each test case, output one number — the maximum number of gift sets that Polycarp can make. -----Examples----- Input 9 10 12 2 5 1 1 2 2 52 311 13 27 1000000000 1000000000 1 1 1000000000 1 1 1000000000 1 1000000000 1000000000 1 1 2 1 1 7 8 1 2 4 1 2 3 Output 3 0 4 1000000000 1 1 1 5 0 -----Note----- None
import sys pl = 1 sys.setrecursionlimit(10**5) if pl: input = sys.stdin.readline else: sys.stdin = open("input.txt", "r") sys.stdout = open("outpt.txt", "w") def li(): return [int(xxx) for xxx in input().split()] def fi(): return int(input()) def si(): return list(input().rstrip()) def mi(): return map(int, input().split()) def ff(): sys.stdout.flush() t = fi() def check(x, y): if a * x + b * y <= c and b * x + a * y <= d and x >= 0 and y >= 0: return x + y return 0 while t > 0: t -= 1 c, d, a, b = mi() ans = 0 if a != b: x = (a * c - b * d) // (a**2 - b**2) y = (a * d - b * c) // (a**2 - b**2) for i in range(-2, 3): for j in range(-2, 3): ans = max(ans, check(x + i, y + j)) p = [c // a, 0] q = [0, c // b] r = [d // b, 0] s = [0, d // a] for i in range(-2, 3): for j in range(-2, 3): ans = max(ans, check(p[0] + i, p[1] + j)) ans = max(ans, check(q[0] + i, q[1] + j)) ans = max(ans, check(r[0] + i, r[1] + j)) ans = max(ans, check(s[0] + i, s[1] + j)) print(ans)
IMPORT ASSIGN VAR NUMBER EXPR FUNC_CALL VAR BIN_OP NUMBER NUMBER IF VAR ASSIGN VAR VAR ASSIGN VAR FUNC_CALL VAR STRING STRING ASSIGN VAR FUNC_CALL VAR STRING STRING FUNC_DEF RETURN FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF RETURN FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF EXPR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_DEF IF BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR VAR VAR NUMBER VAR NUMBER RETURN BIN_OP VAR VAR RETURN NUMBER WHILE VAR NUMBER VAR NUMBER ASSIGN VAR VAR VAR VAR FUNC_CALL VAR ASSIGN VAR NUMBER IF VAR VAR ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR BIN_OP BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR BIN_OP BIN_OP VAR NUMBER BIN_OP VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL VAR BIN_OP VAR VAR BIN_OP VAR VAR ASSIGN VAR LIST BIN_OP VAR VAR NUMBER ASSIGN VAR LIST NUMBER BIN_OP VAR VAR ASSIGN VAR LIST BIN_OP VAR VAR NUMBER ASSIGN VAR LIST NUMBER BIN_OP VAR VAR FOR VAR FUNC_CALL VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER VAR EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) arr = sorted(list(map(int, input().split()))) p, res = [], 0 while n >= 2: if arr[n - 1] - arr[n - 2] <= 1: p.append(arr[n - 2]) n -= 2 else: n -= 1 for i in range(0, len(p) - 1, 2): res += p[i] * p[i + 1] print(res)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR VAR LIST NUMBER WHILE VAR NUMBER IF BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER BIN_OP FUNC_CALL VAR VAR NUMBER NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
s = input() lst = [int(i) for i in input().split()] lst.sort() lst = lst[::-1] n = 0 k = 0 while len(lst) >= 2: if lst[0] == lst[1] or lst[0] == lst[1] + 1: if k != 0: n += k * lst[1] lst.pop(0) lst.pop(0) k = 0 else: k = lst[1] lst.pop(0) lst.pop(0) else: lst.pop(0) print(n)
ASSIGN VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER WHILE FUNC_CALL VAR VAR NUMBER IF VAR NUMBER VAR NUMBER VAR NUMBER BIN_OP VAR NUMBER NUMBER IF VAR NUMBER VAR BIN_OP VAR VAR NUMBER EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR VAR NUMBER EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) a = [int(i) for i in input().split()] g = [] s = 0 a.sort(reverse=True) i = 0 while i < len(a) - 1: if a[i] == a[i + 1] or a[i] == a[i + 1] + 1: g.append(a[i + 1]) del a[i] del a[i] else: del a[i] g.sort() if len(g) < 2: print(0) elif len(g) % 2 != 0: del g[0] j = 0 while j < len(g) - 1: s += g[j] * g[j + 1] j += 2 print(s) else: j = 0 while j < len(g) - 1: s += g[j] * g[j + 1] j += 2 print(s)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST ASSIGN VAR NUMBER EXPR FUNC_CALL VAR NUMBER ASSIGN VAR NUMBER WHILE VAR BIN_OP FUNC_CALL VAR VAR NUMBER IF VAR VAR VAR BIN_OP VAR NUMBER VAR VAR BIN_OP VAR BIN_OP VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR BIN_OP VAR NUMBER VAR VAR VAR VAR VAR VAR EXPR FUNC_CALL VAR IF FUNC_CALL VAR VAR NUMBER EXPR FUNC_CALL VAR NUMBER IF BIN_OP FUNC_CALL VAR VAR NUMBER NUMBER VAR NUMBER ASSIGN VAR NUMBER WHILE VAR BIN_OP FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR VAR ASSIGN VAR NUMBER WHILE VAR BIN_OP FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
def main(): n = int(input()) L = sorted(map(int, input().split())) L.reverse() K = [] i = 1 while i < n: if L[i - 1] == L[i]: K.append(L[i]) i += 1 elif L[i - 1] - L[i] == 1: K.append(L[i]) i += 1 i += 1 ans = 0 for i in range(1, len(K), 2): ans += K[i - 1] * K[i] print(ans) main()
FUNC_DEF ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR LIST ASSIGN VAR NUMBER WHILE VAR VAR IF VAR BIN_OP VAR NUMBER VAR VAR EXPR FUNC_CALL VAR VAR VAR VAR NUMBER IF BIN_OP VAR BIN_OP VAR NUMBER VAR VAR NUMBER EXPR FUNC_CALL VAR VAR VAR VAR NUMBER VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR BIN_OP VAR NUMBER VAR VAR EXPR FUNC_CALL VAR VAR EXPR FUNC_CALL VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) a, b = 0, 0 ans = 0 for i in sorted(map(int, input().split()), reverse=True): if a == 0 or a > i + 1: a = i elif b == 0: a, b = 0, i else: ans += i * b a, b = 0, 0 print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR VAR NUMBER NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR NUMBER IF VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR VAR IF VAR NUMBER ASSIGN VAR VAR NUMBER VAR VAR BIN_OP VAR VAR ASSIGN VAR VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
_ = int(input()) as_ = list(sorted(map(int, input().split()))) def get_pair(): while len(as_) >= 2: s0 = as_.pop() s1 = as_.pop() if s0 - 1 == s1 or s0 == s1: return s1 as_.append(s1) return None ans = 0 tb = get_pair() lr = get_pair() while not (tb is None or lr is None): ans += tb * lr tb = get_pair() lr = get_pair() print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF WHILE FUNC_CALL VAR VAR NUMBER ASSIGN VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR IF BIN_OP VAR NUMBER VAR VAR VAR RETURN VAR EXPR FUNC_CALL VAR VAR RETURN NONE ASSIGN VAR NUMBER ASSIGN VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR WHILE VAR NONE VAR NONE VAR BIN_OP VAR VAR ASSIGN VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) lst = [*map(int, input().split())] lst = [*reversed(sorted(lst))] count, res = 1, [] ex = res.extend for i, x in enumerate(lst[1:]): if lst[i] == x: count += 1 else: div, mod = count // 2, count % 2 ex([lst[i]] * div) count = 1 if mod == 1 and lst[i] - x == 1: count += 1 last = lst[i] ex([lst[-1]] * (count // 2)) result = 0 for i in range(1, len(res), 2): result += res[i] * res[i - 1] print(result)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR LIST FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST FUNC_CALL VAR FUNC_CALL VAR VAR ASSIGN VAR VAR NUMBER LIST ASSIGN VAR VAR FOR VAR VAR FUNC_CALL VAR VAR NUMBER IF VAR VAR VAR VAR NUMBER ASSIGN VAR VAR BIN_OP VAR NUMBER BIN_OP VAR NUMBER EXPR FUNC_CALL VAR BIN_OP LIST VAR VAR VAR ASSIGN VAR NUMBER IF VAR NUMBER BIN_OP VAR VAR VAR NUMBER VAR NUMBER ASSIGN VAR VAR VAR EXPR FUNC_CALL VAR BIN_OP LIST VAR NUMBER BIN_OP VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
def main(): n = int(input()) l = [int(i) for i in input().split()] l.sort() l.reverse() candidate = [] i = 1 while i < n: if l[i - 1] - l[i] <= 1: candidate.append(min(l[i - 1], l[i])) i += 2 else: i += 1 area = 0 for i in range(1, len(candidate), 2): area += candidate[i] * candidate[i - 1] return area def __starting_point(): print(main()) __starting_point()
FUNC_DEF ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR LIST ASSIGN VAR NUMBER WHILE VAR VAR IF BIN_OP VAR BIN_OP VAR NUMBER VAR VAR NUMBER EXPR FUNC_CALL VAR FUNC_CALL VAR VAR BIN_OP VAR NUMBER VAR VAR VAR NUMBER VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER RETURN VAR FUNC_DEF EXPR FUNC_CALL VAR FUNC_CALL VAR EXPR FUNC_CALL VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n, v, ps, pp = int(input()), 0, 0, 0 for l in sorted(map(int, input().split()), reverse=True): if ps == 0 or ps > l + 1: ps = l elif pp == 0: pp, ps = l, 0 else: v, pp, ps = v + pp * l, 0, 0 print(v)
ASSIGN VAR VAR VAR VAR FUNC_CALL VAR FUNC_CALL VAR NUMBER NUMBER NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR NUMBER IF VAR NUMBER VAR BIN_OP VAR NUMBER ASSIGN VAR VAR IF VAR NUMBER ASSIGN VAR VAR VAR NUMBER ASSIGN VAR VAR VAR BIN_OP VAR BIN_OP VAR VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) a = sorted(int(x) for x in input().split()) p = [] ans = 0 while n >= 2: if a[n - 1] - a[n - 2] <= 1: p.append(a[n - 2]) n -= 2 else: n -= 1 n = len(p) for x, y in zip(p[::2], p[1::2]): ans += x * y print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR LIST ASSIGN VAR NUMBER WHILE VAR NUMBER IF BIN_OP VAR BIN_OP VAR NUMBER VAR BIN_OP VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR NUMBER ASSIGN VAR FUNC_CALL VAR VAR FOR VAR VAR FUNC_CALL VAR VAR NUMBER VAR NUMBER NUMBER VAR BIN_OP VAR VAR EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
arr = [0] * (10**6 + 1) n = int(input()) for i in input().split(): arr[int(i)] += 1 i = 10**6 j = i k = i c = 0 while j > 0: if arr[j] % 2 == 1 and (arr[j] > 1 or c == 0): arr[j - 1] += 1 c = 1 else: c = 0 j -= 1 r = 0 while i > 0 and k > 0: if arr[i] < 2: if i == k: k -= 1 i -= 1 elif i == k and arr[i] < 4: k -= 1 elif arr[k] < 2: k -= 1 else: r += i * k arr[i] -= 2 arr[k] -= 2 print(r)
ASSIGN VAR BIN_OP LIST NUMBER BIN_OP BIN_OP NUMBER NUMBER NUMBER ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR FOR VAR FUNC_CALL FUNC_CALL VAR VAR FUNC_CALL VAR VAR NUMBER ASSIGN VAR BIN_OP NUMBER NUMBER ASSIGN VAR VAR ASSIGN VAR VAR ASSIGN VAR NUMBER WHILE VAR NUMBER IF BIN_OP VAR VAR NUMBER NUMBER VAR VAR NUMBER VAR NUMBER VAR BIN_OP VAR NUMBER NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER VAR NUMBER ASSIGN VAR NUMBER WHILE VAR NUMBER VAR NUMBER IF VAR VAR NUMBER IF VAR VAR VAR NUMBER VAR NUMBER IF VAR VAR VAR VAR NUMBER VAR NUMBER IF VAR VAR NUMBER VAR NUMBER VAR BIN_OP VAR VAR VAR VAR NUMBER VAR VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
from sys import stdin number_of_sticks = int(stdin.readline().rstrip("\n")) second_line = stdin.readline().rstrip("\n") sticks = [int(x) for x in second_line.split(" ")] def execute(number_of_sticks, sticks): max = 0 if number_of_sticks < 4: return max else: sticks.sort() sticks.reverse() current_max = 0 i = 1 while i < len(sticks): if sticks[i - 1] - sticks[i] <= 1: if current_max == 0: current_max = sticks[i] i += 1 else: max += current_max * sticks[i] current_max = 0 i += 1 i += 1 return max print(execute(number_of_sticks, sticks))
ASSIGN VAR FUNC_CALL VAR FUNC_CALL FUNC_CALL VAR STRING ASSIGN VAR FUNC_CALL FUNC_CALL VAR STRING ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL VAR STRING FUNC_DEF ASSIGN VAR NUMBER IF VAR NUMBER RETURN VAR EXPR FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR NUMBER ASSIGN VAR NUMBER WHILE VAR FUNC_CALL VAR VAR IF BIN_OP VAR BIN_OP VAR NUMBER VAR VAR NUMBER IF VAR NUMBER ASSIGN VAR VAR VAR VAR NUMBER VAR BIN_OP VAR VAR VAR ASSIGN VAR NUMBER VAR NUMBER VAR NUMBER RETURN VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) maxn = 10**6 + 2 cnt = [0] * maxn for x in map(int, input().split()): cnt[x] += 1 ansv = [] for i in range(maxn - 2, 1, -1): ansv += [i] * (cnt[i] + (cnt[i + 1] & 1) >> 1) if cnt[i] > 0: cnt[i] += cnt[i + 1] & 1 ans = 0 for i in range(1, len(ansv), 2): ans += ansv[i] * ansv[i - 1] print(ans)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR BIN_OP BIN_OP NUMBER NUMBER NUMBER ASSIGN VAR BIN_OP LIST NUMBER VAR FOR VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR VAR VAR NUMBER ASSIGN VAR LIST FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER NUMBER NUMBER VAR BIN_OP LIST VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR BIN_OP VAR NUMBER NUMBER NUMBER IF VAR VAR NUMBER VAR VAR BIN_OP VAR BIN_OP VAR NUMBER NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) l = [int(x) for x in input().split()] l.sort() l2 = [0] * n prev = l[0] count = 1 k = 0 for i in range(1, n): if l[i] != prev: l2[k] = [prev, count] k += 1 prev = l[i] count = 1 else: count += 1 l2[k] = [prev, count] k += 1 for i in range(k - 1, 0, -1): if l2[i][1] % 2 == 1 and l2[i - 1][0] == l2[i][0] - 1: l2[i - 1][1] += 1 l2[i][1] //= 2 l2[0][1] //= 2 i = k - 1 j = k - 1 res = 0 while i >= 0 and j >= 0: if i == j: res += l2[i][0] * l2[i][0] * (l2[i][1] // 2) l2[i][1] %= 2 if l2[i][1] == 0: i -= 1 j -= 1 else: i -= 1 else: if l2[i][1] == 0: i -= 1 continue res += l2[i][0] * l2[j][0] l2[i][1] -= 1 j = i print(res)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER VAR ASSIGN VAR VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER VAR IF VAR VAR VAR ASSIGN VAR VAR LIST VAR VAR VAR NUMBER ASSIGN VAR VAR VAR ASSIGN VAR NUMBER VAR NUMBER ASSIGN VAR VAR LIST VAR VAR VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER NUMBER NUMBER IF BIN_OP VAR VAR NUMBER NUMBER NUMBER VAR BIN_OP VAR NUMBER NUMBER BIN_OP VAR VAR NUMBER NUMBER VAR BIN_OP VAR NUMBER NUMBER NUMBER VAR VAR NUMBER NUMBER VAR NUMBER NUMBER NUMBER ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER ASSIGN VAR NUMBER WHILE VAR NUMBER VAR NUMBER IF VAR VAR VAR BIN_OP BIN_OP VAR VAR NUMBER VAR VAR NUMBER BIN_OP VAR VAR NUMBER NUMBER VAR VAR NUMBER NUMBER IF VAR VAR NUMBER NUMBER VAR NUMBER VAR NUMBER VAR NUMBER IF VAR VAR NUMBER NUMBER VAR NUMBER VAR BIN_OP VAR VAR NUMBER VAR VAR NUMBER VAR VAR NUMBER NUMBER ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n, l = int(input()), list(map(int, input().split())) l.sort(reverse=True) ans = 0 size = [] i = 0 while i < n - 1: if l[i] - l[i + 1] <= 1: size.append(l[i + 1]) i += 2 else: i += 1 for index in range(len(size) // 2): ans += size[2 * index] * size[2 * index + 1] print(ans)
ASSIGN VAR VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR LIST ASSIGN VAR NUMBER WHILE VAR BIN_OP VAR NUMBER IF BIN_OP VAR VAR VAR BIN_OP VAR NUMBER NUMBER EXPR FUNC_CALL VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR BIN_OP NUMBER VAR VAR BIN_OP BIN_OP NUMBER VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) l = list(map(int, input().split())) l.sort(reverse=True) rect = [] i = 0 while i < n: if i + 1 < n and l[i] == l[i + 1]: rect.append(l[i]) i += 2 elif i + 1 < n and l[i] - 1 == l[i + 1]: rect.append(l[i + 1]) i += 2 else: i += 1 s = 0 for i in range(0, len(rect), 2): if i + 1 < len(rect): s += rect[i] * rect[i + 1] print(s)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR EXPR FUNC_CALL VAR NUMBER ASSIGN VAR LIST ASSIGN VAR NUMBER WHILE VAR VAR IF BIN_OP VAR NUMBER VAR VAR VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR VAR VAR NUMBER IF BIN_OP VAR NUMBER VAR BIN_OP VAR VAR NUMBER VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR BIN_OP VAR NUMBER VAR NUMBER VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR VAR NUMBER IF BIN_OP VAR NUMBER FUNC_CALL VAR VAR VAR BIN_OP VAR VAR VAR BIN_OP VAR NUMBER EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
n = int(input()) sticks = list(map(int, input().split())) length = [0] * 1000000 miv = 1000000 mav = 0 answ = 0 for i in range(len(sticks)): length[sticks[i] - 1] = length[sticks[i] - 1] + 1 if sticks[i] - 1 > mav: mav = sticks[i] - 1 if sticks[i] - 1 < miv: miv = sticks[i] - 1 length = length[miv : mav + 1] for i in range(len(length) - 1, -1, -1): if length[i] % 2 == 1: if i > 0 and length[i - 1] > 0: length[i] = length[i] - 1 length[i - 1] = length[i - 1] + 1 else: length[i] = length[i] - 1 square = [] for i in range(len(length) - 1, -1, -1): while length[i] > 0: square.append(i + miv + 1) length[i] = length[i] - 2 if len(square) == 2: answ += square[0] * square[1] square = [] print(answ)
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR VAR ASSIGN VAR BIN_OP VAR VAR NUMBER BIN_OP VAR BIN_OP VAR VAR NUMBER NUMBER IF BIN_OP VAR VAR NUMBER VAR ASSIGN VAR BIN_OP VAR VAR NUMBER IF BIN_OP VAR VAR NUMBER VAR ASSIGN VAR BIN_OP VAR VAR NUMBER ASSIGN VAR VAR VAR BIN_OP VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR NUMBER NUMBER NUMBER IF BIN_OP VAR VAR NUMBER NUMBER IF VAR NUMBER VAR BIN_OP VAR NUMBER NUMBER ASSIGN VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR BIN_OP VAR NUMBER BIN_OP VAR BIN_OP VAR NUMBER NUMBER ASSIGN VAR VAR BIN_OP VAR VAR NUMBER ASSIGN VAR LIST FOR VAR FUNC_CALL VAR BIN_OP FUNC_CALL VAR VAR NUMBER NUMBER NUMBER WHILE VAR VAR NUMBER EXPR FUNC_CALL VAR BIN_OP BIN_OP VAR VAR NUMBER ASSIGN VAR VAR BIN_OP VAR VAR NUMBER IF FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR NUMBER VAR NUMBER ASSIGN VAR LIST EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
I = lambda: map(int, input().split()) n = int(input()) p = list(I()) cnt = [0] * 1000001 for i in p: cnt[i] += 1 for i in range(1000000, 1, -1): if cnt[i] % 2 == 1 and cnt[i - 1] > 0: cnt[i] -= 1 cnt[i - 1] += 1 elif cnt[i] % 2 == 1 and cnt[i - 1] == 0: cnt[i] -= 1 p = 0 ans = 0 for i in range(1000000, 1, -1): if cnt[i] != 0: if p != 0: cnt[i] -= 2 ans += p * i p = 0 ans += i * i * (cnt[i] // 4) if cnt[i] % 4 != 0: p = i print(ans)
ASSIGN VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR BIN_OP LIST NUMBER NUMBER FOR VAR VAR VAR VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER NUMBER IF BIN_OP VAR VAR NUMBER NUMBER VAR BIN_OP VAR NUMBER NUMBER VAR VAR NUMBER VAR BIN_OP VAR NUMBER NUMBER IF BIN_OP VAR VAR NUMBER NUMBER VAR BIN_OP VAR NUMBER NUMBER VAR VAR NUMBER ASSIGN VAR NUMBER ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR NUMBER NUMBER NUMBER IF VAR VAR NUMBER IF VAR NUMBER VAR VAR NUMBER VAR BIN_OP VAR VAR ASSIGN VAR NUMBER VAR BIN_OP BIN_OP VAR VAR BIN_OP VAR VAR NUMBER IF BIN_OP VAR VAR NUMBER NUMBER ASSIGN VAR VAR EXPR FUNC_CALL VAR VAR
In the evening, after the contest Ilya was bored, and he really felt like maximizing. He remembered that he had a set of n sticks and an instrument. Each stick is characterized by its length l_{i}. Ilya decided to make a rectangle from the sticks. And due to his whim, he decided to make rectangles in such a way that maximizes their total area. Each stick is used in making at most one rectangle, it is possible that some of sticks remain unused. Bending sticks is not allowed. Sticks with lengths a_1, a_2, a_3 and a_4 can make a rectangle if the following properties are observed: a_1 ≤ a_2 ≤ a_3 ≤ a_4 a_1 = a_2 a_3 = a_4 A rectangle can be made of sticks with lengths of, for example, 3 3 3 3 or 2 2 4 4. A rectangle cannot be made of, for example, sticks 5 5 5 7. Ilya also has an instrument which can reduce the length of the sticks. The sticks are made of a special material, so the length of each stick can be reduced by at most one. For example, a stick with length 5 can either stay at this length or be transformed into a stick of length 4. You have to answer the question — what maximum total area of the rectangles can Ilya get with a file if makes rectangles from the available sticks? -----Input----- The first line of the input contains a positive integer n (1 ≤ n ≤ 10^5) — the number of the available sticks. The second line of the input contains n positive integers l_{i} (2 ≤ l_{i} ≤ 10^6) — the lengths of the sticks. -----Output----- The first line of the output must contain a single non-negative integer — the maximum total area of the rectangles that Ilya can make from the available sticks. -----Examples----- Input 4 2 4 4 2 Output 8 Input 4 2 2 3 5 Output 0 Input 4 100003 100004 100005 100006 Output 10000800015
from sys import stdin n = int(input()) num = list(map(int, stdin.readline().split())) def solve(n, num): nmax = 1000003 cur = nmax * [0] pt = [] res = 0 for x in range(len(num)): cur[num[x]] += 1 for i in range(nmax - 3, 1, -1): for j in range((cur[i + 1] % 2 + cur[i]) // 2): pt.append(i) if cur[i] > 0: cur[i] += cur[i + 1] % 2 for i in range(1, len(pt), 2): res += pt[i - 1] * pt[i] return res print(solve(n, num))
ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR ASSIGN VAR FUNC_CALL VAR FUNC_CALL VAR VAR FUNC_CALL FUNC_CALL VAR FUNC_DEF ASSIGN VAR NUMBER ASSIGN VAR BIN_OP VAR LIST NUMBER ASSIGN VAR LIST ASSIGN VAR NUMBER FOR VAR FUNC_CALL VAR FUNC_CALL VAR VAR VAR VAR VAR NUMBER FOR VAR FUNC_CALL VAR BIN_OP VAR NUMBER NUMBER NUMBER FOR VAR FUNC_CALL VAR BIN_OP BIN_OP BIN_OP VAR BIN_OP VAR NUMBER NUMBER VAR VAR NUMBER EXPR FUNC_CALL VAR VAR IF VAR VAR NUMBER VAR VAR BIN_OP VAR BIN_OP VAR NUMBER NUMBER FOR VAR FUNC_CALL VAR NUMBER FUNC_CALL VAR VAR NUMBER VAR BIN_OP VAR BIN_OP VAR NUMBER VAR VAR RETURN VAR EXPR FUNC_CALL VAR FUNC_CALL VAR VAR VAR