시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 13 9 8 66.667%

문제

1부터 n까지 m제곱의 합은 다음과 같다.

S(n,m) = SUM (j = i to n) (jm)

이 식은 n의 차수가 m+1인 다항식으로 나타낼 수 있다.

S(n,m) = SUM (k = 1 to m+1) (F(m,k) * nk)

예를 들면 다음과 같다.

S(n,1) = (1 + ... + n) = (1/2)*n2 + (1/2)*n
S(n,2) = (1 + ... + n2) = (1/3)*n3 + (1/2)*n2 + (1/6)*n
S(n,3) = (1 + ... + n3) = (1/4)*n4 + (1/2)*n3 + (1/4)*n2
S(n,4) = (1 + ... + n4) = (1/5)*n5 + (1/2)*n4 + (1/3)*n3 - (1/30)*n

위의 식에 나오는 계수 F(m,k)는 폴하버의 삼각형을 이룬다.

1            
1/2 1/2          
1/6 1/2 1/3        
0 1/4 1/2 1/4      
-1/30 0 1/3 1/2 1/5    
0 -1/12 0 5/12 1/2 1/6  
1/42 0 -1/6 0 1/2 1/2 1/7

F(m,k)에서 m은 행이고, 위에서부터 0번이다. k는 열이고, 왼쪽에서부터 1번이다.

폴하버의 삼각형은 아래와 같이 구할 수 있다.

  1. j>1인 F(i,j) = (i/j)*F(i-1,j-1)
  2. i번째 row의 수를 다 더했을 때 1이 되도록 F(i,1) 을 정해야 한다

m,k 가 주어졌을 때, F(m,k)를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 P (1 ≤ P ≤ 1000)가 주어진다. 각 테스트 케이스는 한 줄로 이루어져 있고, m과 k가 공백으로 구분되어져 있다. (0 ≤ m ≤ 400, 1 ≤ k ≤ n+1)

출력

각 테스트 케이스에 대해서, F(m,k)를 출력한다. 만약 결과가 정수라면 정수로 출력하고, 정수가 아니라면, 기약분수로 출력한다.

예제 입력 1

4
4 1
4 3
86 79
400 401

예제 출력 1

-1/30
1/3
-22388337
1/401
[{"problem_id":"3947","problem_lang":"0","title":"\ud3f4\ud558\ubc84\uc758 \uc0bc\uac01\ud615","description":"<p>1\ubd80\ud130 n\uae4c\uc9c0 m\uc81c\uacf1\uc758 \ud569\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<pre>\r\nS(n,m) = SUM (j = i to n) (j<sup>m<\/sup>)<\/pre>\r\n\r\n<p>\uc774 \uc2dd\uc740 n\uc758 \ucc28\uc218\uac00 m+1\uc778 \ub2e4\ud56d\uc2dd\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<pre>\r\nS(n,m) = SUM (k = 1 to m+1) (F(m,k) * n<sup>k<\/sup>)<\/pre>\r\n\r\n<p>\uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<pre>\r\nS(n,1) = (1 + ... + n) = (1\/2)*n<sup>2<\/sup> + (1\/2)*n\r\nS(n,2) = (1 + ... + n<sup>2<\/sup>) = (1\/3)*n<sup>3<\/sup> + (1\/2)*n<sup>2<\/sup> + (1\/6)*n\r\nS(n,3) = (1 + ... + n<sup>3<\/sup>) = (1\/4)*n<sup>4<\/sup> + (1\/2)*n<sup>3<\/sup> + (1\/4)*n<sup>2<\/sup>\r\nS(n,4) = (1 + ... + n<sup>4<\/sup>) = (1\/5)*n<sup>5<\/sup> + (1\/2)*n<sup>4<\/sup> + (1\/3)*n<sup>3<\/sup> - (1\/30)*n<\/pre>\r\n\r\n<p>\uc704\uc758 \uc2dd\uc5d0 \ub098\uc624\ub294 \uacc4\uc218 F(m,k)\ub294 \ud3f4\ud558\ubc84\uc758 \uc0bc\uac01\ud615\uc744 \uc774\ub8ec\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:49%\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td style=\"width:7%\">1<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1\/6<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/3<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>1\/4<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/4<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>-1\/30<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>1\/3<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/5<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>-1\/12<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>5\/12<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/6<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1\/42<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>-1\/6<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/7<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>F(m,k)\uc5d0\uc11c m\uc740 \ud589\uc774\uace0, \uc704\uc5d0\uc11c\ubd80\ud130 0\ubc88\uc774\ub2e4. k\ub294 \uc5f4\uc774\uace0, \uc67c\ucabd\uc5d0\uc11c\ubd80\ud130 1\ubc88\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud3f4\ud558\ubc84\uc758 \uc0bc\uac01\ud615\uc740 \uc544\ub798\uc640 \uac19\uc774 \uad6c\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>j&gt;1\uc778 F(i,j) = (i\/j)*F(i-1,j-1)<\/li>\r\n\t<li>i\ubc88\uc9f8 row\uc758 \uc218\ub97c \ub2e4 \ub354\ud588\uc744 \ub54c 1\uc774 \ub418\ub3c4\ub85d F(i,1) \uc744 \uc815\ud574\uc57c \ud55c\ub2e4<\/li>\r\n<\/ol>\r\n\r\n<p>m,k \uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, F(m,k)\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 P (1 &le; P &le; 1000)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, m\uacfc k\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc838 \uc788\ub2e4. (0 &le; m &le; 400, 1 &le; k &le; n+1)<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, F(m,k)\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d \uacb0\uacfc\uac00 \uc815\uc218\ub77c\uba74 \uc815\uc218\ub85c \ucd9c\ub825\ud558\uace0, \uc815\uc218\uac00 \uc544\ub2c8\ub77c\uba74, \uae30\uc57d\ubd84\uc218\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3947","problem_lang":"1","title":"Faulhaber's Triangle","description":"<p>The sum of the&nbsp;<em>m<\/em>-th powers of the first&nbsp;<em>n<\/em>&nbsp;integers<\/p>\r\n\r\n<pre>\r\nS(n,m) = SUM (j = i to n) (j<sup>m<\/sup>)<\/pre>\r\n\r\n<p>can be written as a polynomial of degree m + 1 in n:<\/p>\r\n\r\n<pre>\r\nS(n,m) = SUM (k = 1 to m+1) (F(m,k) * n<sup>k<\/sup>)<\/pre>\r\n\r\n<p>For example:<\/p>\r\n\r\n<pre>\r\nS(n,1) = (1 + ... + n) = (1\/2)*n<sup>2<\/sup>&nbsp;+ (1\/2)*n\r\nS(n,2) = (1 + ... + n<sup>2<\/sup>) = (1\/3)*n<sup>3<\/sup>&nbsp;+ (1\/2)*n<sup>2<\/sup>&nbsp;+ (1\/6)*n\r\nS(n,3) = (1 + ... + n<sup>3<\/sup>) = (1\/4)*n<sup>4<\/sup>&nbsp;+ (1\/2)*n<sup>3<\/sup>&nbsp;+ (1\/4)*n<sup>2<\/sup>\r\nS(n,4) = (1 + ... + n<sup>4<\/sup>) = (1\/5)*n<sup>5<\/sup>&nbsp;+ (1\/2)*n<sup>4<\/sup>&nbsp;+ (1\/3)*n<sup>3<\/sup>&nbsp;- (1\/30)*n<\/pre>\r\n\r\n<p>The coefficients F(m, k) of these formulas form Faulhaber&#39;s Triangle:<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:49%\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td style=\"width:7%\">1<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t\t<td style=\"width:7%\">&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1\/6<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/3<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>1\/4<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/4<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>-1\/30<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>1\/3<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/5<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>-1\/12<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>5\/12<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/6<\/td>\r\n\t\t\t<td>&nbsp;<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>1\/42<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>-1\/6<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/2<\/td>\r\n\t\t\t<td>1\/7<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>where rows m start with 0 (at the top) and columns k go from 1 to m + 1<\/p>\r\n\r\n<p>Each row of Faulhaber&#39;s Triangle can be computed from the previous row by:<\/p>\r\n\r\n<ol>\r\n\t<li>The element in row i and column j (j &gt; 1) is (i\/j) * (the element above left); that is: F(i, j) = (i\/j) * F(i - 1, j - 1)<\/li>\r\n\t<li>The first element in each row F(i, 1) is chosen so the sum of the elements in the row is 1.<\/li>\r\n<\/ol>\r\n\r\n<p>Write a program to find entries in Faulhaber&#39;s Triangle as decimal fractions in lowest terms.<\/p>","input":"<p>The first line of input contains a single integer P, (1 &le; P &le; 1000), which is the number of data sets that follow. Each data set should be processed identically and independently.<\/p>\r\n\r\n<p>Each data set consists of a single line of input consisting of three space separated decimal integers. The first integer is the data set number. The second integer is row number m, and the third integer is the index k within the row of the entry for which you are to find F(m, k), the Faulhaber&#39;s Triangle entry (0 &le; m &le; 400, 1 &le; k &le; m + 1).<\/p>\r\n","output":"<p>For each data set there is a single line of output. It contains the data set number, followed by a single space which is then followed by either the value if it is an integer OR by the numerator of the entry, a forward slash and the denominator of the entry.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_code":"\uc601\uc5b4"}]

출처

ICPC > Regionals > North America > Greater New York Region > 2012 Greater New York Programming Contest E번

  • 문제를 번역한 사람: baekjoon
  • 잘못된 번역을 찾은 사람: ntopia