문제
Bert는 최근 수학 시간에 약수에 대해 배웠다. 임의의 자연수 $x \ge 1$에 대하여
$D(x)$ : $x$ 의 약수의 개수 (즉, 1ドル$ 이상 $x$ 이하의 자연수 $y$ 중 $x$를 나누어 떨어지게 하는 $y$의 개수)
$S(x)$ : $x$ 의 약수의 총합 (즉, 1ドル$ 이상 $x$ 이하의 자연수 $y$ 중 $x$를 나누어 떨어지게 하는 $y$의 총합)
이라 정의하자.
예를 들면
1의 약수는 $\{1\}$ 이므로 $D(1) = 1,ドル $S(1) = 1$ 이다.
10의 약수는 $\{1, 2, 5, 10\}$ 이므로 $D(10) = 4,ドル $S(10) = 18$ 이다.
12의 약수는 $\{1, 2, 3, 4, 6, 12\}$ 이므로 $D(12) = 6,ドル $S(12) = 28$ 이다.
14의 약수는 $\{1, 2, 7, 14\}$ 이므로 $D(14) = 4,ドル $S(14) = 24$ 이다.
15의 약수는 $\{1, 3, 5, 15\}$ 이므로 $D(15) = 4,ドル $S(15) = 24$ 이다.
Bert가 공부하던 모습을 지켜보던 Bert의 누나 Alice는 아래와 같은 퀴즈를 냈보았다: $Q(N, x, A, B, C)$: 1ドル$ 이상 $N$ 이하인 자연수 $y$ 중 아래 세 조건을 모두 만족하는 자연수의 개수는?
$|x - y| \le A$
$|D(x) - D(y)| \le B$
$|S(x) - S(y)| \le C$
예를 들어 $N = 18$ 인 경우를 생각해보자.
$x = 15, A = 5, B = 2, C = 10$ 인 경우: $y \in \{10, 12, 13, 14, 15, 16, 17\}$ 일 때 상기한 세 조건을 모두 만족하므로 답은 7이 된다.
$x = 15, A = 5, B = 2, C = 20$ 인 경우: $y \in \{10, 12, 13, 14, 15, 16, 17\}$ 이외에도 $y \in \{11, 18\}$ 일 때 상기한 세 조건을 모두 만족하므로 답은 9가 된다.
$x = 15, A = 5, B = 1, C = 20$ 인 경우: $y \in \{10, 14, 15, 16\}$ 일 때 상기한 세 조건을 모두 만족하므로 답은 4가 된다.
다른 예로 $N = 30$ 인 경우를 생각해보자.
$x = 14, A = 0, B = 0, C = 0$ 인 경우: $y = 14$ 가 유일하게 조건을 모두 만족시키므로 답은 1이 된다.
$x = 14, A = 1, B = 0, C = 1$ 인 경우: $y \in \{14, 15\}$ 가 조건을 모두 만족시킨다 - 이 퀴즈의 답은 2이다.
$x = 14, A = 1, B = 1, C = 20$ 인 경우: $y \in \{14, 15\}$ 가 조건을 모두 만족시킨다 - 이 퀴즈의 답은 2이다.
$x = 15, A = 5, B = 2, C = 20$ 인 경우: $y \in \{10, 11, \dots, 19, 20\}$ 가 조건을 모두 만족시킨다 - 이 퀴즈의 답은 11 이다.
Alice는 $N$의 값은 고정시켜둔채로 Bert에게 $M$개의 퀴즈를 내고 싶어한다 - 편의상 $i$ 번째 퀴즈는 $(x_i, A_i, B_i, C_i)$ 네 개의 정수로 표현하자. 입력으로 $N, M,ドル 그리고 $(x_i, A_i, B_i, C_i)$ 값들이 주어졌을 때, 각 퀴즈의 정답을 구해보자 (편의상 $i$ 번째 퀴즈의 정답을 $E_i$ 라 하자).
출력
각 테스트 케이스의 정답인 $E_1, E_2, \dots, E_M$ 을 공백으로 구분하여 각 줄에 출력한다.
제한
1ドル \le T \le 20$
1ドル \le N \le 200,000円$
1ドル \le M \le 10,000円$
1ドル \le i \le M$ 인 $i$에 대하여:
1ドル \le x_i \le N$
0ドル \le A_i \le N$
0ドル \le B_i \le 5$
0ドル \le C_i \le 1,000円,000円$
예제 출력 1
복사
1 2 2 11
4 7 9
1 1 8
예제 1-2: 본문에서 다루었다.
예제 3: 추가 설명 없음.
[{"problem_id":"32270","problem_lang":"0","title":"\uc57d\uc218 \ub180\uc774","description":"<p>Bert\ub294 \ucd5c\uadfc \uc218\ud559 \uc2dc\uac04\uc5d0 \uc57d\uc218\uc5d0 \ub300\ud574 \ubc30\uc6e0\ub2e4. \uc784\uc758\uc758 \uc790\uc5f0\uc218 $x \\ge 1$\uc5d0 \ub300\ud558\uc5ec<\/p>\r\n\r\n<ul>\r\n\t<li>$D(x)$ : $x$ \uc758 \uc57d\uc218\uc758 \uac1c\uc218 (\uc989, $1$ \uc774\uc0c1 $x$ \uc774\ud558\uc758 \uc790\uc5f0\uc218 $y$ \uc911 $x$\ub97c \ub098\ub204\uc5b4 \ub5a8\uc5b4\uc9c0\uac8c \ud558\ub294 $y$\uc758 \uac1c\uc218)<\/li>\r\n\t<li>$S(x)$ : $x$ \uc758 \uc57d\uc218\uc758 \ucd1d\ud569 (\uc989, $1$ \uc774\uc0c1 $x$ \uc774\ud558\uc758 \uc790\uc5f0\uc218 $y$ \uc911 $x$\ub97c \ub098\ub204\uc5b4 \ub5a8\uc5b4\uc9c0\uac8c \ud558\ub294 $y$\uc758 \ucd1d\ud569)<\/li>\r\n<\/ul>\r\n\r\n<p>\uc774\ub77c \uc815\uc758\ud558\uc790.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uba74<\/p>\r\n\r\n<ul>\r\n\t<li>1\uc758 \uc57d\uc218\ub294 $\\{1\\}$ \uc774\ubbc0\ub85c $D(1) = 1$, $S(1) = 1$ \uc774\ub2e4.<\/li>\r\n\t<li>10\uc758 \uc57d\uc218\ub294 $\\{1, 2, 5, 10\\}$ \uc774\ubbc0\ub85c $D(10) = 4$, $S(10) = 18$ \uc774\ub2e4.<\/li>\r\n\t<li>12\uc758 \uc57d\uc218\ub294 $\\{1, 2, 3, 4, 6, 12\\}$ \uc774\ubbc0\ub85c $D(12) = 6$, $S(12) = 28$ \uc774\ub2e4.<\/li>\r\n\t<li>14\uc758 \uc57d\uc218\ub294 $\\{1, 2, 7, 14\\}$ \uc774\ubbc0\ub85c $D(14) = 4$, $S(14) = 24$ \uc774\ub2e4.<\/li>\r\n\t<li>15\uc758 \uc57d\uc218\ub294 $\\{1, 3, 5, 15\\}$ \uc774\ubbc0\ub85c $D(15) = 4$, $S(15) = 24$ \uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>Bert\uac00 \uacf5\ubd80\ud558\ub358 \ubaa8\uc2b5\uc744 \uc9c0\ucf1c\ubcf4\ub358 Bert\uc758 \ub204\ub098 Alice\ub294 \uc544\ub798\uc640 \uac19\uc740 \ud034\uc988\ub97c \ub0c8\ubcf4\uc558\ub2e4: $Q(N, x, A, B, C)$: $1$ \uc774\uc0c1 $N$ \uc774\ud558\uc778 \uc790\uc5f0\uc218 $y$ \uc911 \uc544\ub798 \uc138 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\ud558\ub294 \uc790\uc5f0\uc218\uc758 \uac1c\uc218\ub294?<\/p>\r\n\r\n<ol>\r\n\t<li>$|x - y| \\le A$<\/li>\r\n\t<li>$|D(x) - D(y)| \\le B$<\/li>\r\n\t<li>$|S(x) - S(y)| \\le C$<\/li>\r\n<\/ol>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 $N = 18$ \uc778 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<ul>\r\n\t<li>$x = 15, A = 5, B = 2, C = 10$ \uc778 \uacbd\uc6b0: $y \\in \\{10, 12, 13, 14, 15, 16, 17\\}$ \uc77c \ub54c \uc0c1\uae30\ud55c \uc138 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\ud558\ubbc0\ub85c \ub2f5\uc740 7\uc774 \ub41c\ub2e4.<\/li>\r\n\t<li>$x = 15, A = 5, B = 2, C = 20$ \uc778 \uacbd\uc6b0: $y \\in \\{10, 12, 13, 14, 15, 16, 17\\}$ \uc774\uc678\uc5d0\ub3c4 $y \\in \\{11, 18\\}$ \uc77c \ub54c \uc0c1\uae30\ud55c \uc138 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\ud558\ubbc0\ub85c \ub2f5\uc740 9\uac00 \ub41c\ub2e4.<\/li>\r\n\t<li>$x = 15, A = 5, B = 1, C = 20$ \uc778 \uacbd\uc6b0: $y \\in \\{10, 14, 15, 16\\}$ \uc77c \ub54c \uc0c1\uae30\ud55c \uc138 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\ud558\ubbc0\ub85c \ub2f5\uc740 4\uac00 \ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub2e4\ub978 \uc608\ub85c $N = 30$ \uc778 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<ul>\r\n\t<li>$x = 14, A = 0, B = 0, C = 0$ \uc778 \uacbd\uc6b0: $y = 14$ \uac00 \uc720\uc77c\ud558\uac8c \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\uc2dc\ud0a4\ubbc0\ub85c \ub2f5\uc740 1\uc774 \ub41c\ub2e4.<\/li>\r\n\t<li>$x = 14, A = 1, B = 0, C = 1$ \uc778 \uacbd\uc6b0: $y \\in \\{14, 15\\}$ \uac00 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\uc2dc\ud0a8\ub2e4 - \uc774 \ud034\uc988\uc758 \ub2f5\uc740 2\uc774\ub2e4.<\/li>\r\n\t<li>$x = 14, A = 1, B = 1, C = 20$ \uc778 \uacbd\uc6b0: $y \\in \\{14, 15\\}$ \uac00 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\uc2dc\ud0a8\ub2e4 - \uc774 \ud034\uc988\uc758 \ub2f5\uc740 2\uc774\ub2e4.<\/li>\r\n\t<li>$x = 15, A = 5, B = 2, C = 20$ \uc778 \uacbd\uc6b0: $y \\in \\{10, 11, \\dots, 19, 20\\}$ \uac00 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\uc2dc\ud0a8\ub2e4 - \uc774 \ud034\uc988\uc758 \ub2f5\uc740 11 \uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>Alice\ub294 $N$\uc758 \uac12\uc740 \uace0\uc815\uc2dc\ucf1c\ub454\ucc44\ub85c Bert\uc5d0\uac8c $M$\uac1c\uc758 \ud034\uc988\ub97c \ub0b4\uace0 \uc2f6\uc5b4\ud55c\ub2e4 - \ud3b8\uc758\uc0c1 $i$ \ubc88\uc9f8 \ud034\uc988\ub294 $(x_i, A_i, B_i, C_i)$ \ub124 \uac1c\uc758 \uc815\uc218\ub85c \ud45c\ud604\ud558\uc790. \uc785\ub825\uc73c\ub85c $N, M$, \uadf8\ub9ac\uace0  $(x_i, A_i, B_i, C_i)$ \uac12\ub4e4\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uac01 \ud034\uc988\uc758 \uc815\ub2f5\uc744 \uad6c\ud574\ubcf4\uc790 (\ud3b8\uc758\uc0c1 $i$ \ubc88\uc9f8 \ud034\uc988\uc758 \uc815\ub2f5\uc744 $E_i$ \ub77c \ud558\uc790).<\/p>\r\n","input":"<p>\uc785\ub825 \uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 $T$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d0\ub294 $N$ \uacfc $M$ \uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c $M$ \uc904\uc5d0 \uac78\uccd0 \uac01 \uc904\uc5d0 4\uac1c\uc758 \uc815\uc218 $x_i, A_i, B_i, C_i$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c0\ub294\ub370 \uc774\ub294 $i$ \ubc88\uc9f8 \ud034\uc988\ub97c \ud45c\ud604\ud55c\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc815\ub2f5\uc778 $E_1, E_2, \\dots, E_M$ \uc744 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \uac01 \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1 \\le T \\le 20$<\/li>\r\n\t<li>$1 \\le N \\le 200\\,000$<\/li>\r\n\t<li>$1 \\le M \\le 10\\,000$<\/li>\r\n\t<li>$1 \\le i \\le M$ \uc778 $i$\uc5d0 \ub300\ud558\uc5ec:\r\n\t<ul>\r\n\t\t<li>$1 \\le x_i \\le N$<\/li>\r\n\t\t<li>$0 \\le A_i \\le N$<\/li>\r\n\t\t<li>$0 \\le B_i \\le 5$<\/li>\r\n\t\t<li>$0 \\le C_i \\le 1\\,000\\,000$<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>\uc608\uc81c 1-2: \ubcf8\ubb38\uc5d0\uc11c \ub2e4\ub8e8\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c 3: \ucd94\uac00 \uc124\uba85 \uc5c6\uc74c.<\/p>\r\n"},{"problem_id":"32270","problem_lang":"1","title":"Divisor Game","description":"<p>Bert recently learned about divisors of integers in math class. For any natural number $x \\ge 1$: Let us define<\/p>\r\n\r\n<ul>\r\n\t<li>$D(x)$ to be the number of divisors of $x$ (that is, the number of integer $y$&#39;s with $1 \\le y \\le x$ that divides $x$) and<\/li>\r\n\t<li>$S(x)$ to be the sum of divisors of $x$ (that is, the sum of integer $y$&#39;s with $1 \\le y \\le x$ that divides $x$).<\/li>\r\n<\/ul>\r\n\r\n<p>For instance,&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>1&#39;s divisor is $\\{1\\}$, and thus&nbsp;$D(1) = 1$ and&nbsp;$S(1) = 1$.<\/li>\r\n\t<li>10&#39;s divisors are $\\{1, 2, 5, 10\\}$, and thus&nbsp;$D(10) = 4$ and $S(10) = 18$.<\/li>\r\n\t<li>12&#39;s divisors are $\\{1, 2, 3, 4, 6, 12\\}$, and thus&nbsp;$D(12) = 6$ and $S(12) = 28$.<\/li>\r\n\t<li>14&#39;s divisors are $\\{1, 2, 7, 14\\}$, and thus&nbsp;$D(14) = 4$ and $S(14) = 24$.<\/li>\r\n\t<li>15&#39;s divisors are $\\{1, 3, 5, 15\\}$, and thus&nbsp;$D(15) = 4$ and $S(15) = 24$.<\/li>\r\n<\/ul>\r\n\r\n<p>After watching Bert studying math, Alice dared Bert to solve the following quiz: $Q(N, x, A, B, C)$: How many integer $y$&#39;s exist with $1 \\le y \\le N$ that satisfy the following conditions?<\/p>\r\n\r\n<ol>\r\n\t<li>$|x - y| \\le A$<\/li>\r\n\t<li>$|D(x) - D(y)| \\le B$<\/li>\r\n\t<li>$|S(x) - S(y)| \\le C$<\/li>\r\n<\/ol>\r\n\r\n<p>Let us consider the case where $N = 18$.<\/p>\r\n\r\n<ul>\r\n\t<li>When $x = 15, A = 5, B = 2, C = 10$: $y \\in \\{10, 12, 13, 14, 15, 16, 17\\}$ is the set of such $y$&#39;s that satisfy all three conditions, and thus the answer to this quiz is 7.<\/li>\r\n\t<li>When $x = 15, A = 5, B = 2, C = 20$: In addition to $y \\in \\{10, 12, 13, 14, 15, 16, 17\\}$,&nbsp;$y \\in \\{11, 18\\}$ also satisfy all three conditions. Hence, the answer is 9.<\/li>\r\n\t<li>When $x = 15, A = 5, B = 1, C = 20$: $y \\in \\{10, 14, 15, 16\\}$ is the set of $y$&#39;s satisfying the three conditions. The answer is 4.<\/li>\r\n<\/ul>\r\n\r\n<p>Consider another case where $N = 30$.<\/p>\r\n\r\n<ul>\r\n\t<li>When $x = 14, A = 0, B = 0, C = 0$: $y = 14$ is the only integer. Hence, the answer is 1.<\/li>\r\n\t<li>When $x = 14, A = 1, B = 0, C = 1$: $y \\in \\{14, 15\\}$ satisfy all three conditions. The answer is 2.<\/li>\r\n\t<li>When $x = 14, A = 1, B = 1, C = 20$: $y \\in \\{14, 15\\}$ satisfy all three conditions. The answer is 2.<\/li>\r\n\t<li>When $x = 15, A = 5, B = 2, C = 20$: $y \\in \\{10, 11, \\dots, 19, 20\\}$ satisfy all three conditions. The answer is 11.<\/li>\r\n<\/ul>\r\n\r\n<p>Alice wants to ask Bert $M$ quizzes while $N$ being fixed -- for convenience, let us describe the $i$-th quiz using four integers&nbsp;$(x_i, A_i, B_i, C_i)$. Given $N, M$, and&nbsp;$(x_i, A_i, B_i, C_i)$ values, compute the answer to each quiz (let $E_i$ be the answer to the $i$-th quiz).<\/p>\r\n","input":"<p>The first line of input will contain $T$, the number of test cases.<\/p>\r\n\r\n<p>The first line of each test case will contain $N$ and $M$, separated by whitespace. Each of the next $M$ lines will contain four integers&nbsp;$x_i, A_i, B_i$, and $C_i$, separated by whitespace, describing the $i$-th quiz.<\/p>\r\n","output":"<p>Output each test case&#39;s answer, $E_1, E_2, \\dots, E_M$ separated by whitespace, in each line.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1 \\le T \\le 20$<\/li>\r\n\t<li>$1 \\le N \\le 200\\,000$<\/li>\r\n\t<li>$1 \\le M \\le 10\\,000$<\/li>\r\n\t<li>For each $i$ with $1 \\le i \\le M$:\r\n\t<ul>\r\n\t\t<li>$1 \\le x_i \\le N$<\/li>\r\n\t\t<li>$0 \\le A \\le N$<\/li>\r\n\t\t<li>$0 \\le B \\le 5$<\/li>\r\n\t\t<li>$0 \\le C \\le 1\\,000\\,000$<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>Cases 1-2: Discussed in the problem statement.<\/p>\r\n\r\n<p>Case 3: No further explanation provided.<\/p>\r\n\r\n"}]