문제
메모리 제한에 유의하라.
바이히는 최근 하이비가 만든 두뇌 게임 LCG Madness!를 플레이하고 있다. 이 게임의 규칙은 다음과 같다.
- $N$개의 LCG 기계가 주어진다. 각 기계에는 정수 $X_i$를 보여주는 모니터와, 앞면과 뒷면을 가진 뒤집을 수 있는 카드, 그리고 기계 내부에 저장된 4ドル$개의 정수 $A_i,ドル $B_i,ドル $I_i,ドル $M_i$가 있다.
- 게임이 시작될 때, 모든 기계에 대해 $X_i=I_i$로 초기화된다.
- 그리고 플레이어는 각각의 기계에 대해 카드를 앞면 또는 뒷면이 보이도록 원하는 대로 뒤집는다.
- 이후 $R$번의 라운드에 걸쳐 아래 과정을 반복한다.
- 모든 LCG 기계를 1ドル$회 실행한다. 구체적으로는 모든 기계에 대해 $X_i$를 $(A_i\cdot X_i+B_i)\bmod M_i$로 바꾼다. 여기서 $a\bmod b$는 $a$를 $b$로 나눈 나머지를 의미한다.
- 이후 플레이어는 $N$개의 기계 중 하나를 선택한 뒤, 해당 기계의 카드를 뒤집는다.
- 이후 플레이어는 방금 뒤집은 카드를 포함해서, 방금 뒤집은 카드와 같은 면을 보이는 카드를 가지는 기계들에 적힌 $X_i$의 합만큼 점수를 얻는다.
바이히는 이 게임을 자주 플레이하다 보니, 플레이할 때마다 최고점을 찍는 경지에 이르렀다. 이를 하이비한테 증명하기 위해, 바이히는 게임의 초기 상태가 주어질 때 최고점을 계산해 주는 프로그램을 작성해서 보여주기로 했다.
출력
첫째 줄에 바이히가 얻을 수 있는 최고 점수를 출력한다.
다음과 같은 방식으로 9ドル$점을 얻을 수 있다.
- 게임이 시작한다.
- LCG 기계에 적히는 값이 초기화된다. 이로 인해 $X_1 = 1,ドル $X_2 = 0$이 된다.
- 1ドル$번 LCG 기계의 카드를 뒷면이 보이도록, 2ドル$번 LCG 기계의 카드를 앞면이 보이도록 놓는다.
- 이후, 첫 번째 라운드가 진행된다.
- LCG 기계를 1ドル$회 실행한다. 이로 인해 $X_1 = (1 \cdot 1 + 2) \bmod 7 = 3,ドル $X_2 = (8 \cdot 0 + 1) \bmod 9 = 1$이 된다.
- 플레이어가 2ドル$번 LCG 기계의 카드를 뒷면으로 뒤집는다.
- 이후 플레이어는 뒷면이 보이는 1ドル,ドル 2ドル$번 LCG 기계에 적힌 $X_i$의 합인 3ドル + 1 = 4$점을 얻게 된다.
- 이후, 두 번째 라운드가 진행된다.
- LCG 기계를 1ドル$회 실행한다. 이로 인해 $X_1 = (1 \cdot 3 + 2) \bmod 7 = 5,ドル $X_2 = (8 \cdot 1 + 1) \bmod 9 = 0$이 된다.
- 플레이어가 1ドル$번 LCG 기계의 카드를 앞면으로 뒤집는다.
- 이후 플레이어는 앞면이 보이는 1ドル$번 LCG 기계에 적힌 $X_i$의 합인 5ドル$점을 얻게 된다.
[{"problem_id":"34132","problem_lang":"0","title":"[L] LCG Madness!","description":"<p><strong>\uba54\ubaa8\ub9ac \uc81c\ud55c\uc5d0 \uc720\uc758\ud558\ub77c.<\/strong><\/p>\r\n\r\n<p>\ubc14\uc774\ud788\ub294 \ucd5c\uadfc \ud558\uc774\ube44\uac00 \ub9cc\ub4e0 \ub450\ub1cc \uac8c\uc784 LCG Madness!\ub97c \ud50c\ub808\uc774\ud558\uace0 \uc788\ub2e4. \uc774 \uac8c\uc784\uc758 \uaddc\uce59\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>$N$\uac1c\uc758 LCG \uae30\uacc4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uae30\uacc4\uc5d0\ub294 \uc815\uc218 $X_i$\ub97c \ubcf4\uc5ec\uc8fc\ub294 \ubaa8\ub2c8\ud130\uc640, \uc55e\uba74\uacfc \ub4b7\uba74\uc744 \uac00\uc9c4 \ub4a4\uc9d1\uc744 \uc218 \uc788\ub294 \uce74\ub4dc, \uadf8\ub9ac\uace0 \uae30\uacc4 \ub0b4\ubd80\uc5d0 \uc800\uc7a5\ub41c $4$\uac1c\uc758 \uc815\uc218 $A_i$, $B_i$, $I_i$, $M_i$\uac00 \uc788\ub2e4.<\/li>\r\n\t<li>\uac8c\uc784\uc774 \uc2dc\uc791\ub420 \ub54c, \ubaa8\ub4e0 \uae30\uacc4\uc5d0 \ub300\ud574 $X_i=I_i$\ub85c \ucd08\uae30\ud654\ub41c\ub2e4.<\/li>\r\n\t<li>\uadf8\ub9ac\uace0 \ud50c\ub808\uc774\uc5b4\ub294 \uac01\uac01\uc758 \uae30\uacc4\uc5d0 \ub300\ud574 \uce74\ub4dc\ub97c \uc55e\uba74 \ub610\ub294 \ub4b7\uba74\uc774 \ubcf4\uc774\ub3c4\ub85d \uc6d0\ud558\ub294 \ub300\ub85c \ub4a4\uc9d1\ub294\ub2e4.<\/li>\r\n\t<li>\uc774\ud6c4 $R$\ubc88\uc758 \ub77c\uc6b4\ub4dc\uc5d0 \uac78\uccd0 \uc544\ub798 \uacfc\uc815\uc744 \ubc18\ubcf5\ud55c\ub2e4.\r\n\t<ul>\r\n\t\t<li>\ubaa8\ub4e0 LCG \uae30\uacc4\ub97c $1$\ud68c \uc2e4\ud589\ud55c\ub2e4. \uad6c\uccb4\uc801\uc73c\ub85c\ub294 \ubaa8\ub4e0 \uae30\uacc4\uc5d0 \ub300\ud574 $X_i$\ub97c $(A_i\\cdot X_i+B_i)\\bmod M_i$\ub85c \ubc14\uafbc\ub2e4. \uc5ec\uae30\uc11c $a\\bmod b$\ub294 $a$\ub97c $b$\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \uc758\ubbf8\ud55c\ub2e4.<\/li>\r\n\t\t<li>\uc774\ud6c4 \ud50c\ub808\uc774\uc5b4\ub294 $N$\uac1c\uc758 \uae30\uacc4 \uc911 \ud558\ub098\ub97c \uc120\ud0dd\ud55c \ub4a4, \ud574\ub2f9 \uae30\uacc4\uc758 \uce74\ub4dc\ub97c \ub4a4\uc9d1\ub294\ub2e4.<\/li>\r\n\t\t<li>\uc774\ud6c4 \ud50c\ub808\uc774\uc5b4\ub294 \ubc29\uae08 \ub4a4\uc9d1\uc740 \uce74\ub4dc\ub97c \ud3ec\ud568\ud574\uc11c, \ubc29\uae08 \ub4a4\uc9d1\uc740 \uce74\ub4dc\uc640 \uac19\uc740 \uba74\uc744 \ubcf4\uc774\ub294 \uce74\ub4dc\ub97c \uac00\uc9c0\ub294 \uae30\uacc4\ub4e4\uc5d0 \uc801\ud78c $X_i$\uc758 \ud569\ub9cc\ud07c \uc810\uc218\ub97c \uc5bb\ub294\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ol>\r\n\r\n<p>\ubc14\uc774\ud788\ub294 \uc774 \uac8c\uc784\uc744 \uc790\uc8fc \ud50c\ub808\uc774\ud558\ub2e4 \ubcf4\ub2c8, \ud50c\ub808\uc774\ud560 \ub54c\ub9c8\ub2e4 \ucd5c\uace0\uc810\uc744 \ucc0d\ub294 \uacbd\uc9c0\uc5d0 \uc774\ub974\ub800\ub2e4. \uc774\ub97c \ud558\uc774\ube44\ud55c\ud14c \uc99d\uba85\ud558\uae30 \uc704\ud574, \ubc14\uc774\ud788\ub294 \uac8c\uc784\uc758 \ucd08\uae30 \uc0c1\ud0dc\uac00 \uc8fc\uc5b4\uc9c8 \ub54c \ucd5c\uace0\uc810\uc744 \uacc4\uc0b0\ud574 \uc8fc\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud574\uc11c \ubcf4\uc5ec\uc8fc\uae30\ub85c \ud588\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 LCG \uae30\uacc4\uc758 \uac1c\uc218 $N$\uacfc \ud50c\ub808\uc774\ud558\ub294 \ub77c\uc6b4\ub4dc\uc758 \uc218 $R$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(1\\le N\\le 10;$ $1\\le R\\le 17\\, 012)$<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 $N$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0, $i+1$\ubc88\uc9f8 \uc904\uc5d0\ub294 LCG \uae30\uacc4\uc5d0 \uc800\uc7a5\ub418\ub294 $4$\uac1c\uc758 \uc815\uc218 $A_i$, $B_i$, $I_i$, $M_i$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. $(0 \\le A_i,B_i,I_i \\lt M_i \\le 10^9)$<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ubc14\uc774\ud788\uac00 \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\uace0 \uc810\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>\ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c $9$\uc810\uc744 \uc5bb\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uac8c\uc784\uc774 \uc2dc\uc791\ud55c\ub2e4.\r\n\t<ul>\r\n\t\t<li>LCG \uae30\uacc4\uc5d0 \uc801\ud788\ub294 \uac12\uc774 \ucd08\uae30\ud654\ub41c\ub2e4. \uc774\ub85c \uc778\ud574 $X_1 = 1$, $X_2 = 0$\uc774 \ub41c\ub2e4.<\/li>\r\n\t\t<li>$1$\ubc88 LCG \uae30\uacc4\uc758 \uce74\ub4dc\ub97c \ub4b7\uba74\uc774 \ubcf4\uc774\ub3c4\ub85d, $2$\ubc88 LCG \uae30\uacc4\uc758 \uce74\ub4dc\ub97c \uc55e\uba74\uc774 \ubcf4\uc774\ub3c4\ub85d \ub193\ub294\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>\uc774\ud6c4, \uccab \ubc88\uc9f8 \ub77c\uc6b4\ub4dc\uac00 \uc9c4\ud589\ub41c\ub2e4.\r\n\t<ul>\r\n\t\t<li>LCG \uae30\uacc4\ub97c $1$\ud68c \uc2e4\ud589\ud55c\ub2e4. \uc774\ub85c \uc778\ud574 $X_1 = (1 \\cdot 1 + 2) \\bmod 7 = 3$, $X_2 = (8 \\cdot 0 + 1) \\bmod 9 = 1$\uc774 \ub41c\ub2e4.<\/li>\r\n\t\t<li>\ud50c\ub808\uc774\uc5b4\uac00 $2$\ubc88 LCG \uae30\uacc4\uc758 \uce74\ub4dc\ub97c \ub4b7\uba74\uc73c\ub85c \ub4a4\uc9d1\ub294\ub2e4.<\/li>\r\n\t\t<li>\uc774\ud6c4 \ud50c\ub808\uc774\uc5b4\ub294 \ub4b7\uba74\uc774 \ubcf4\uc774\ub294 $1$, $2$\ubc88 LCG \uae30\uacc4\uc5d0 \uc801\ud78c $X_i$\uc758 \ud569\uc778 $3 + 1 = 4$\uc810\uc744 \uc5bb\uac8c \ub41c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>\uc774\ud6c4, \ub450 \ubc88\uc9f8 \ub77c\uc6b4\ub4dc\uac00 \uc9c4\ud589\ub41c\ub2e4.\r\n\t<ul>\r\n\t\t<li>LCG \uae30\uacc4\ub97c $1$\ud68c \uc2e4\ud589\ud55c\ub2e4. \uc774\ub85c \uc778\ud574 $X_1 = (1 \\cdot 3 + 2) \\bmod 7 = 5$, $X_2 = (8 \\cdot 1 + 1) \\bmod 9 = 0$\uc774 \ub41c\ub2e4.<\/li>\r\n\t\t<li>\ud50c\ub808\uc774\uc5b4\uac00 $1$\ubc88 LCG \uae30\uacc4\uc758 \uce74\ub4dc\ub97c \uc55e\uba74\uc73c\ub85c \ub4a4\uc9d1\ub294\ub2e4.<\/li>\r\n\t\t<li>\uc774\ud6c4 \ud50c\ub808\uc774\uc5b4\ub294 \uc55e\uba74\uc774 \ubcf4\uc774\ub294 $1$\ubc88 LCG \uae30\uacc4\uc5d0 \uc801\ud78c $X_i$\uc758 \ud569\uc778 $5$\uc810\uc744 \uc5bb\uac8c \ub41c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n"},{"problem_id":"34132","problem_lang":"1","title":"[L] LCG Madness!","description":"<p><strong>Note the unusual memory limit.<\/strong><\/p>\r\n\r\n<p>Byehee has recently been playing &#39;LCG Madenss!&#39;, a brain game made by Hibee. The rules of the game are as follows.<\/p>\r\n\r\n<ol>\r\n\t<li>There are $N$ LCG machines. Each machine has a monitor which displays an integer $X_i$, a card which you can flip to show its front or back, and four integers $A_i$, $B_i$, $I_i$, $M_i$ saved in the machine.<\/li>\r\n\t<li>When the game begins, $X_i$ is initialized to $I_i$.<\/li>\r\n\t<li>Then the player flips the card for each machine in any way they want such that the card shows its front or back.<\/li>\r\n\t<li>Then the following process is repeated for $R$ rounds.\r\n\t<ul>\r\n\t\t<li>Run all LCG machines once. This changes $X_i$ to $(A_i\\cdot X_i+B_i)\\bmod M_i$ for all machines. Here, $a\\bmod b$ denotes the remainder from the division $a$ divided by $b$.<\/li>\r\n\t\t<li>Then the player chooses one of the $N$ machines, and flips its card.<\/li>\r\n\t\t<li>Now, the player earns points equal to the sum of $X_i$ values on all machines whose cards show the same side as the card of the chosen machine (including itself).<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ol>\r\n\r\n<p>Byehee has played this game so much that he earns the maximum possible points every time he plays. To prove this to Hibee, Byehee decided to write a program which calculates the maximum possible possible points that can be earned given the starting state of the game.<\/p>\r\n","input":"<p>The first line of input contains two space-separated integers $N$, the number of LCG machines, and $R$, the number of rounds, separated by a space. $(1\\le N\\le 10;$ $1\\le R\\le 17\\, 012)$<\/p>\r\n\r\n<p>The $i$-th of the following $N$ lines contains four integers saved in each LCG machine, $A_i$, $B_i$, $I_i$, $M_i$ with a space between two integers. $(0 \\le A_i,B_i,I_i \\lt M_i \\le 10^9)$<\/p>\r\n","output":"<p>Print the maximum possible points Byehee can earn in the first line.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>The following method earns $9$ points.<\/p>\r\n\r\n<ul>\r\n\t<li>The game begins.\r\n\t<ul>\r\n\t\t<li>The values displayed on the LCG machines are reset. Thus, $X_1 = 1$, and $X_2 = 0$.<\/li>\r\n\t\t<li>Set the card on LCG machine $1$ to show its back, and the card on LCG machine $2$ to show its front.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>The first round commences.\r\n\t<ul>\r\n\t\t<li>Run the LCG machines once. This results in $X_1 = (1 \\cdot 1 + 2) \\bmod 7 = 3$, and $X_2 = (8 \\cdot 0 + 1) \\bmod 9 = 1$.<\/li>\r\n\t\t<li>The player flips the card of LCG machine $2$ to show its back.<\/li>\r\n\t\t<li>Then, the player earns $3 + 1 = 4$ points equal to the sum of $X_i$ values on LCG machines $1$, and $2$ since those are the machines whose cards show its back.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>Then, the second round commences.\r\n\t<ul>\r\n\t\t<li>Run the LCG machines once. This results in $X_1 = (1 \\cdot 3 + 2) \\bmod 7 = 5$, and $X_2 = (8 \\cdot 1 + 1) \\bmod 9 = 0$.<\/li>\r\n\t\t<li>The player flips the card of LCG machine $1$ to show its front.<\/li>\r\n\t\t<li>Then, the player earns $1$ point equal to the $X_i$ value on LCG machine $1$ since that is the only machine whose card shows its front.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n"}]