시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 355 118 89 34.630%

문제

최근에 전기 회사는 전기 요금을 또 올렸다. 새로운 전기 요금은 아래 표에 나와있다. (사용량은 항상 양의 정수)

사용량 (Watt-hour) 요금 (원)
1 ~ 100 2
101 ~ 10000 3
10001 ~ 1000000 5
> 1000000 7

위의 표를 읽는 방법은 다음과 같다.

사용량의 첫 100Wh의 가격은 1Wh당 2원이다. 다음 9900Wh (101 ~ 10000)의 가격은 1Wh당 3원이다. 이런식으로 계속 계산한다.

예를 들어, 10123Wh를 사용했을 때, 내야하는 요금은 2×100 + 3×9900 + 5×123 = 30515원이다.

전기 회사는 전기 요금을 인상하지 않고 돈을 더 버는 이상한 방법을 만들었다. 그 방법은 바로 사용한 전기의 양을 알려주지 않고, 얼마를 내야 하는지 알려주는 것이다. 전기 회사는 요금과 관련된 정보를 나타내는 두 숫자 A와 B를 알려준다. A와 B는 전기 회사에서 그 사람이 사는 건물에서 임의로 고른 이웃의 정보와 합친 요금이다.

  • A: 이웃의 사용량과 사용량을 합쳤을 때 내야하는 요금
  • B: 이웃의 전기 요금과의 차이 (절댓값)

위의 두 숫자를 이용해서 자신이 얼마를 내야 하는지를 계산할 수 없을 때는, 계산 요금을 100원을 더 내면 전기 회사에서 사용량을 알려준다.

상근이는 매우 전기를 아끼는 사람이다. 따라서, 항상 자신이 사는 건물에서 가장 전기를 적게 쓴다고 확신한다. 상근이는 돈도 전기만큼 아낀다. 따라서, 절대로 계산 요금을 지불하지 않고 자신이 직접 계산할 것이다.

예를 들어, A = 1100, B = 300이라고 하자. 이 정보를 이용하면, 상근이의 사용량은 150Wh, 이웃의 사용량은 250Wh임을 알 수 있다. 두 사람의 총 사용량은 400Wh이다. 따라서, A = 2×100 + 3×300 = 1100이 된다. 따라서, 상근이는 350원을 내면 된다. 상근이의 이웃은 2×100 + 3×150 = 650원을 내야 하고, B = |350 - 650| = 300이 된다.

A와 B가 주어졌을 때, 상근이가 내야하는 전기 요금을 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 한 줄로 이루어져 있고, 두 정수 A와 B가 주어진다. (1 ≤ A, B ≤ 109) 항상 정답이 유일한 경우만 주어지며, 입력으로 주어지는 두 숫자를 만들 수 있는 사용량은 딱 한 쌍 존재한다.

입력의 마지막 줄에는 0이 두 개 주어진다.

출력

각 테스트 케이스에 대해서, 상근이가 내야 하는 요금을 출력한다.

예제 입력 1

1100 300
35515 27615
0 0

예제 출력 1

350
2900
[{"problem_id":"5710","problem_lang":"0","title":"\uc804\uae30 \uc694\uae08","description":"<p>\ucd5c\uadfc\uc5d0 \uc804\uae30 \ud68c\uc0ac\ub294 \uc804\uae30 \uc694\uae08\uc744 \ub610 \uc62c\ub838\ub2e4. \uc0c8\ub85c\uc6b4 \uc804\uae30 \uc694\uae08\uc740 \uc544\ub798 \ud45c\uc5d0 \ub098\uc640\uc788\ub2e4. (\uc0ac\uc6a9\ub7c9\uc740 \ud56d\uc0c1 \uc591\uc758 \uc815\uc218)<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:30%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\uc0ac\uc6a9\ub7c9 (Watt-hour)<\/th>\r\n\t\t\t<th>\uc694\uae08 (\uc6d0)<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1 ~ 100<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>101 ~ 10000<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>10001 ~ 1000000<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>&gt; 1000000<\/td>\r\n\t\t\t<td>7<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uc704\uc758 \ud45c\ub97c \uc77d\ub294 \ubc29\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p>\uc0ac\uc6a9\ub7c9\uc758 \uccab 100Wh\uc758 \uac00\uaca9\uc740 1Wh\ub2f9 2\uc6d0\uc774\ub2e4. \ub2e4\uc74c 9900Wh (101 ~ 10000)\uc758 \uac00\uaca9\uc740 1Wh\ub2f9 3\uc6d0\uc774\ub2e4. \uc774\ub7f0\uc2dd\uc73c\ub85c \uacc4\uc18d \uacc4\uc0b0\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, 10123Wh\ub97c \uc0ac\uc6a9\ud588\uc744 \ub54c, \ub0b4\uc57c\ud558\ub294 \uc694\uae08\uc740 2&times;100 + 3&times;9900 + 5&times;123 = 30515\uc6d0\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc804\uae30 \ud68c\uc0ac\ub294 \uc804\uae30 \uc694\uae08\uc744 \uc778\uc0c1\ud558\uc9c0 \uc54a\uace0 \ub3c8\uc744 \ub354 \ubc84\ub294 \uc774\uc0c1\ud55c \ubc29\ubc95\uc744 \ub9cc\ub4e4\uc5c8\ub2e4. \uadf8 \ubc29\ubc95\uc740 \ubc14\ub85c \uc0ac\uc6a9\ud55c \uc804\uae30\uc758 \uc591\uc744 \uc54c\ub824\uc8fc\uc9c0 \uc54a\uace0, \uc5bc\ub9c8\ub97c \ub0b4\uc57c \ud558\ub294\uc9c0 \uc54c\ub824\uc8fc\ub294 \uac83\uc774\ub2e4. \uc804\uae30 \ud68c\uc0ac\ub294 \uc694\uae08\uacfc \uad00\ub828\ub41c \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b4\ub294 \ub450 \uc22b\uc790 A\uc640 B\ub97c \uc54c\ub824\uc900\ub2e4. A\uc640 B\ub294 \uc804\uae30 \ud68c\uc0ac\uc5d0\uc11c \uadf8 \uc0ac\ub78c\uc774 \uc0ac\ub294 \uac74\ubb3c\uc5d0\uc11c \uc784\uc758\ub85c \uace0\ub978 \uc774\uc6c3\uc758 \uc815\ubcf4\uc640 \ud569\uce5c \uc694\uae08\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>A: \uc774\uc6c3\uc758 \uc0ac\uc6a9\ub7c9\uacfc \uc0ac\uc6a9\ub7c9\uc744 \ud569\ucce4\uc744 \ub54c \ub0b4\uc57c\ud558\ub294 \uc694\uae08<\/li>\r\n\t<li>B: \uc774\uc6c3\uc758 \uc804\uae30 \uc694\uae08\uacfc\uc758 \ucc28\uc774 (\uc808\ub313\uac12)<\/li>\r\n<\/ul>\r\n\r\n<p>\uc704\uc758 \ub450 \uc22b\uc790\ub97c \uc774\uc6a9\ud574\uc11c \uc790\uc2e0\uc774 \uc5bc\ub9c8\ub97c \ub0b4\uc57c \ud558\ub294\uc9c0\ub97c \uacc4\uc0b0\ud560 \uc218 \uc5c6\uc744 \ub54c\ub294, \uacc4\uc0b0 \uc694\uae08\uc744 100\uc6d0\uc744 \ub354 \ub0b4\uba74 \uc804\uae30 \ud68c\uc0ac\uc5d0\uc11c \uc0ac\uc6a9\ub7c9\uc744 \uc54c\ub824\uc900\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \ub9e4\uc6b0 \uc804\uae30\ub97c \uc544\ub07c\ub294 \uc0ac\ub78c\uc774\ub2e4. \ub530\ub77c\uc11c, \ud56d\uc0c1 \uc790\uc2e0\uc774 \uc0ac\ub294 \uac74\ubb3c\uc5d0\uc11c \uac00\uc7a5 \uc804\uae30\ub97c \uc801\uac8c \uc4f4\ub2e4\uace0 \ud655\uc2e0\ud55c\ub2e4. \uc0c1\uadfc\uc774\ub294 \ub3c8\ub3c4 \uc804\uae30\ub9cc\ud07c \uc544\ub080\ub2e4. \ub530\ub77c\uc11c, \uc808\ub300\ub85c \uacc4\uc0b0 \uc694\uae08\uc744 \uc9c0\ubd88\ud558\uc9c0 \uc54a\uace0 \uc790\uc2e0\uc774 \uc9c1\uc811 \uacc4\uc0b0\ud560 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, A = 1100, B = 300\uc774\ub77c\uace0 \ud558\uc790. \uc774 \uc815\ubcf4\ub97c \uc774\uc6a9\ud558\uba74, \uc0c1\uadfc\uc774\uc758 \uc0ac\uc6a9\ub7c9\uc740 150Wh, \uc774\uc6c3\uc758 \uc0ac\uc6a9\ub7c9\uc740 250Wh\uc784\uc744 \uc54c \uc218 \uc788\ub2e4. \ub450 \uc0ac\ub78c\uc758 \ucd1d \uc0ac\uc6a9\ub7c9\uc740 400Wh\uc774\ub2e4. \ub530\ub77c\uc11c, A = 2&times;100 + 3&times;300 = 1100\uc774 \ub41c\ub2e4. \ub530\ub77c\uc11c, \uc0c1\uadfc\uc774\ub294 350\uc6d0\uc744 \ub0b4\uba74 \ub41c\ub2e4. \uc0c1\uadfc\uc774\uc758 \uc774\uc6c3\uc740 2&times;100 + 3&times;150 = 650\uc6d0\uc744 \ub0b4\uc57c \ud558\uace0, B = |350 - 650| = 300\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>A\uc640 B\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc0c1\uadfc\uc774\uac00 \ub0b4\uc57c\ud558\ub294 \uc804\uae30 \uc694\uae08\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \ub450 \uc815\uc218 A\uc640 B\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; A, B &le; 10<sup>9<\/sup>) \ud56d\uc0c1 \uc815\ub2f5\uc774 \uc720\uc77c\ud55c \uacbd\uc6b0\ub9cc \uc8fc\uc5b4\uc9c0\uba70, \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \ub450 \uc22b\uc790\ub97c \ub9cc\ub4e4 \uc218 \uc788\ub294 \uc0ac\uc6a9\ub7c9\uc740 \ub531 \ud55c \uc30d \uc874\uc7ac\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 0\uc774 \ub450 \uac1c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \uc0c1\uadfc\uc774\uac00 \ub0b4\uc57c \ud558\ub294 \uc694\uae08\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5710","problem_lang":"1","title":"Electric Bill","description":"<p>It&rsquo;s year 2100. Electricity has become very expensive. Recently, your electricity company raised the power rates once more. The table below shows the new rates (consumption is always a positive integer):<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:40%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Range (Crazy-Watt-hour)<\/th>\r\n\t\t\t<th>Price (Americus)<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1 ~ 100<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>101 ~ 10000<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>10001 ~ 1000000<\/td>\r\n\t\t\t<td>5<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>&gt; 1000000<\/td>\r\n\t\t\t<td>7<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>This means that, when calculating the amount to pay, the \ufb01rst 100 CWh have a price of 2 Americus each; the next 9900 CWh (between 101 and 10000) have a price of 3 Americus each and so on.<\/p>\r\n\r\n<p>For instance, if you consume 10123 CWh you will have to pay 2&times;100+3&times;9900+5&times;123 = 30515 Americus.<\/p>\r\n\r\n<p>The evil mathematicians from the company have found a way to gain even more money. Instead of telling you how much energy you have consumed and how much you have to pay, they will show you two numbers related to yourself and to a random neighbor:<\/p>\r\n\r\n<ul>\r\n\t<li>A: the total amount to pay if your consumptions were billed together; and<\/li>\r\n\t<li>B: the absolute value of the di\ufb00erence between the amounts of your bills.<\/li>\r\n<\/ul>\r\n\r\n<p>If you can&rsquo;t \ufb01gure out how much you have to pay, you must pay another 100 Americus for such a &ldquo;service&rdquo;. You are very economical, and therefore you are sure you cannot possibly consume more than any of your neighbors. So, being smart, you know you can compute how much you have to pay. For example, suppose the company informed you the following two numbers: A = 1100 and B = 300. Then you and your neighbor&rsquo;s consumptions had to be 150 CWh and 250 CWh respectively. The total consumption is 400 CWh and then A is 2&times;100+3&times;300 = 1100. You have to pay 2&times;100+3&times;50 = 350 Americus, while your neighbor must pay 2 &times; 100 + 3 &times; 150 = 650 Americus, so B is |350 &minus; 650| = 300.<\/p>\r\n\r\n<p>Not willing to pay the additional fee, you decided to write a computer program to \ufb01nd out how much you have to pay.<\/p>\r\n","input":"<p>The input contains several test cases. Each test case is composed of a single line, containing two integers A and B, separated by a single space, representing the numbers shown to you (1 &le; A, B &le; 10<sup>9<\/sup>). You may assume there is always a unique solution, that is, there exists exactly one pair of consumptions that produces those numbers. The last test case is followed by a line containing two zeros separated by a single space.<\/p>\r\n","output":"<p>For each test case in the input, your program must print a single line containing one integer, representing the amount you have to pay.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]