시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB72333145.588%

문제

2×N개의 전구가 두 줄로 놓여져 있다. 각 줄에는 N개의 전구가 있다. 각 전구는 상태는 켜져있거나 꺼져있다. 처음에 모든 전구는 꺼져있다.

현수는 일부 전구를 켜서 아름다운 패턴을 만들려고 한다. 현수는 행이나 열로 연속된 전구를 하나 이상 골라서 전구의 상태를 바꿀 수 있다. (꺼져있는 전구 -> 켬, 켜있는 전구 -> 끔)

현수가 만들려고 하는 패턴이 주어졌을 때, 최소 몇 번 만에 그 패턴을 만들 수 있는지 구하는 프로그램을 작성하시오.

입력

첫째 줄에 열의 크기 N이 주어진다. (1 ≤ N ≤ 10,000)

다음 두 줄에는 현수가 만들려고 하는 아름다운 패턴이 주어진다. 1은 전구가 켜져있는 상태이고, 0은 꺼져있는 상태이다. 

출력

현수가 최소 몇 번 만에 아름다운 패턴을 만들 수 있는지 출력한다.

예제 입력 1

3
100
000

예제 출력 1

1

예제 입력 2

5
11011
11011

예제 출력 2

3

예제 입력 3

20
11101101111000101010
01111101100000010100

예제 출력 3

7
0 1 2 3
00000000000000000000
00000000000000000000
11100000000000000000
00000000000000000000
11100010000000000000
00000010000000000000
11100010000000000000
01111101100000000000
4 5 6 7
11101101111000000000
01111101100000000000
11101101111000111110
01111101100000000000
11101101111000101110
01111101100000010000
11101101111000101010
01111101100000010100
[{"problem_id":"3159","problem_lang":"0","title":"\uc804\uad6c","description":"<p>2&times;N\uac1c\uc758 \uc804\uad6c\uac00 \ub450 \uc904\ub85c \ub193\uc5ec\uc838 \uc788\ub2e4. \uac01 \uc904\uc5d0\ub294 N\uac1c\uc758 \uc804\uad6c\uac00 \uc788\ub2e4. \uac01 \uc804\uad6c\ub294 \uc0c1\ud0dc\ub294 \ucf1c\uc838\uc788\uac70\ub098 \uaebc\uc838\uc788\ub2e4. \ucc98\uc74c\uc5d0 \ubaa8\ub4e0 \uc804\uad6c\ub294 \uaebc\uc838\uc788\ub2e4.<\/p>\r\n\r\n<p>\ud604\uc218\ub294 \uc77c\ubd80 \uc804\uad6c\ub97c \ucf1c\uc11c \uc544\ub984\ub2e4\uc6b4 \ud328\ud134\uc744 \ub9cc\ub4e4\ub824\uace0 \ud55c\ub2e4. \ud604\uc218\ub294 \ud589\uc774\ub098 \uc5f4\ub85c \uc5f0\uc18d\ub41c \uc804\uad6c\ub97c \ud558\ub098 \uc774\uc0c1 \uace8\ub77c\uc11c \uc804\uad6c\uc758 \uc0c1\ud0dc\ub97c \ubc14\uafc0 \uc218 \uc788\ub2e4. (\uaebc\uc838\uc788\ub294 \uc804\uad6c -&gt; \ucf2c, \ucf1c\uc788\ub294 \uc804\uad6c -&gt; \ub054)<\/p>\r\n\r\n<p>\ud604\uc218\uac00 \ub9cc\ub4e4\ub824\uace0 \ud558\ub294 \ud328\ud134\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucd5c\uc18c \uba87 \ubc88 \ub9cc\uc5d0 \uadf8 \ud328\ud134\uc744 \ub9cc\ub4e4 \uc218 \uc788\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc5f4\uc758 \ud06c\uae30 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 10,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c \ub450 \uc904\uc5d0\ub294 \ud604\uc218\uac00 \ub9cc\ub4e4\ub824\uace0 \ud558\ub294 \uc544\ub984\ub2e4\uc6b4 \ud328\ud134\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. 1\uc740 \uc804\uad6c\uac00 \ucf1c\uc838\uc788\ub294 \uc0c1\ud0dc\uc774\uace0, 0\uc740 \uaebc\uc838\uc788\ub294 \uc0c1\ud0dc\uc774\ub2e4.&nbsp;<\/p>\r\n","output":"<p>\ud604\uc218\uac00 \ucd5c\uc18c \uba87 \ubc88 \ub9cc\uc5d0 \uc544\ub984\ub2e4\uc6b4 \ud328\ud134\uc744 \ub9cc\ub4e4 \uc218 \uc788\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","sample_explain_3":"<table class=\"table table-bordered th-center td-center\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t\t<th>3<\/th>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n00000000000000000000\r\n00000000000000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n<strong>111<\/strong>00000000000000000\r\n00000000000000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n111000<strong>1<\/strong>0000000000000\r\n000000<strong>1<\/strong>0000000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n11100010000000000000\r\n0<strong>11111011<\/strong>00000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>4<\/th>\r\n\t\t\t<th>5<\/th>\r\n\t\t\t<th>6<\/th>\r\n\t\t\t<th>7<\/th>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n1110110<strong>1111<\/strong>000000000\r\n01111101100000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n11101101111000<strong>11111<\/strong>0\r\n01111101100000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n111011011110001<strong>0<\/strong>1110\r\n011111011000000<strong>1<\/strong>0000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n11101101111000101<strong>0<\/strong>10\r\n01111101100000010<strong>1<\/strong>00<\/pre>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n"},{"problem_id":"3159","problem_lang":"1","title":"lampice","description":"<p>2*N light bulbs are arranged in two rows and N columns. Each light bulb can be either off or on, and all lights are initially off.&nbsp;<\/p>\r\n\r\n<p>We want to turn some of them on so that they form a beautiful pattern. In one step we can change the state of a sequence of (one or more) consecutive light bulbs in the same row or column.&nbsp;<\/p>\r\n\r\n<p>Given the desired pattern, write a program that finds the minimum number of steps required to form the pattern.&nbsp;<\/p>\r\n","input":"<p>The first line of input contains an integer N, 1 &le; N &le; 10,000, the number of columns.&nbsp;<\/p>\r\n\r\n<p>Each of the following two lines contains a sequence of N characters representing the desired final pattern.&nbsp;<\/p>\r\n\r\n<p>Character &#39;1&#39; indicates a light bulb that should be on in the final state, while the character &#39;0&#39; indicates a light bulb that should be off.&nbsp;<\/p>\r\n","output":"<p>The first and only line of output should contain a single integer &ndash; the minimum number of steps required.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","sample_explain_3":"<p>The following figure illustrates the seven steps needed to obtain the pattern given in the third example:<\/p>\r\n\r\n<table class=\"table table-bordered th-center td-center\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t\t<th>3<\/th>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n00000000000000000000\r\n00000000000000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n<strong>111<\/strong>00000000000000000\r\n00000000000000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n111000<strong>1<\/strong>0000000000000\r\n000000<strong>1<\/strong>0000000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n11100010000000000000\r\n0<strong>11111011<\/strong>00000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>4<\/th>\r\n\t\t\t<th>5<\/th>\r\n\t\t\t<th>6<\/th>\r\n\t\t\t<th>7<\/th>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n1110110<strong>1111<\/strong>000000000\r\n01111101100000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n11101101111000<strong>11111<\/strong>0\r\n01111101100000000000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n111011011110001<strong>0<\/strong>1110\r\n011111011000000<strong>1<\/strong>0000<\/pre>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<pre>\r\n11101101111000101<strong>0<\/strong>10\r\n01111101100000010<strong>1<\/strong>00<\/pre>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n"}]