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URL : https://school.programmers.co.kr/learn/courses/30/lessons/12914
JS
문제
더보기
문제 설명
효진이는 멀리 뛰기를 연습하고 있습니다. 효진이는 한번에 1칸, 또는 2칸을 뛸 수 있습니다. 칸이 총 4개 있을 때, 효진이는
(1칸, 1칸, 1칸, 1칸)
(1칸, 2칸, 1칸)
(1칸, 1칸, 2칸)
(2칸, 1칸, 1칸)
(2칸, 2칸)
의 5가지 방법으로 맨 끝 칸에 도달할 수 있습니다. 멀리뛰기에 사용될 칸의 수 n이 주어질 때, 효진이가 끝에 도달하는 방법이 몇 가지인지 알아내, 여기에 1234567를 나눈 나머지를 리턴하는 함수, solution을 완성하세요. 예를 들어 4가 입력된다면, 5를 return하면 됩니다.
제한 사항
n은 1 이상, 2000 이하인 정수입니다.
입출력 예
| n | result |
| 4 | 5 |
| 3 | 3 |
입출력 예 설명
입출력 예 #1
위에서 설명한 내용과 같습니다.
입출력 예 #2
(2칸, 1칸)
(1칸, 2칸)
(1칸, 1칸, 1칸)
총 3가지 방법으로 멀리 뛸 수 있습니다.
계획
1,2칸씩 건너간 경위의 수 구하기
1234567로 나눈 나머지 반환
참고, 풀이
효진이는 한 번에 1칸 또는 2칸을 뛸 수 있다.
즉, n 번째 칸에 도달하는 방법은 바로 전 칸(n-1)에서 한 칸 뛰거나,
혹은 두 칸 전(n-2)에서 두 칸 뛰는 방법 두 가지뿐임.
즉, n에 도달하는 방법의 개수는 (n-1)번째 경우의 수 + (n-2)번째 경우의 수와 같다.
이를 식으로 나타내면: f(n)=f(n−1)+f(n−2)
즉 문제는 피보나치 수열과 동일한 패턴을 따른다.
답
const solution = (n) => {
const MOD = 1234567;
let dp = [0, 1, 2]; // dp[1] = 1, dp[2] = 2
for (let i = 3; i <= n; i++) {
dp[i] = (dp[i - 1] + dp[i - 2]) % MOD;
}
return dp[n];
};코드 간략화하기
function solution(n) {
let a = 1, b = 2;
for (let i = 3; i <= n; i++) {
[a, b] = [b, (a + b) % 1234567];
}
return n === 1 ? a : b;
}다른사람 답
피보나치 수열을 1234567로 나눈 나머지값을 가지 배열을 적고 n번째 값을 반환
더보기
/*
* 1 칸을 뛰는 방법 = 1 가지
* 2 칸을 뛰는 방법 = 2 가지
* (n+2 칸을 뛰는 방법) = (n+1 칸을 뛰는 방법) + (n 칸을 뛰는 방법)
* f_1 = 1, f_2 = 2 인 피보나치 수열
*
*/
function solution(n) {
return [
0,
1,
2,
3,
5,
8,
13,
21,
34,
55,
89,
144,
233,
377,
610,
987,
1597,
2584,
4181,
6765,
10946,
17711,
28657,
46368,
75025,
121393,
196418,
317811,
514229,
832040,
111702,
943742,
1055444,
764619,
585496,
115548,
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283069,
1099661,
148163,
13257,
161420,
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336097,
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310066,
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376191,
442316,
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26256,
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481215,
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84833,
525956,
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415145,
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858652,
571812,
195897,
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496748,
225787,
722535,
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436290,
150045,
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502637,
180746,
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312945,
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255452,
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453411,
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391798,
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70613,
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585039,
326024,
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2520,
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442942,
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1218700,
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379474,
1178561,
323468,
267462,
590930,
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214755,
1073147,
53335,
1126482,
1179817,
1071732,
1016982,
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636562,
256142,
892704,
1148846,
806983,
721262,
293678,
1014940,
74051,
1088991,
1163042,
1017466,
945941,
728840,
440214,
1169054,
374701,
309188,
683889,
993077,
442399,
200909,
643308,
844217,
252958,
1097175,
115566,
1212741,
93740,
71914,
165654,
237568,
403222,
640790,
1044012,
450235,
259680,
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}
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