문제
비버랜드에는 $N$개의 도시가 있다. 이 도시들은 1번부터 $N$번까지 번호가 붙어있다. $i$번째 (1ドル \le i \le N-1$) 도로는 $i$번 도시와 $i+1$번 도시를 양방향으로 잇는다. 또한, 비버랜드의 하루는 1 000 000 000개의 단위시간으로 분열되어 있고, 이 단위시간을 쵸 라고 부른다. 하루가 시작하고 나서 $x$쵸가 지난 시간을 시각 $x$라 부른다. 한 도로를 통과하는 데에는 1쵸가 걸리고, $i$번째 도로는 시각 $L_i$와 시각 $R_i$ 사이에만 통과할 수 있다. 구체적으로, $i$번째 도로를 통과하기 위해서 우리는 도시 $i$나 $i+1$을 $L_i \le x \le R_i -1$ 을 만족하는 시각 $x$에 떠나야 하고, 다른 도시에 시각 $x+1$에 도착해야 한다.
비타로는 비버랜드에 사는 평범한 비버다. 아니, 비버였다 라고 하는게 옳은 것일까. 지각을 자주한 비타로는 이를 개선하려고 한 결과로 시간을 거슬러 올라가는게 가능해 졌다. 이 능력을 한 번 사용하면 1쵸 뒤로 갈 수 있다. 하지만, 어제로 갈 수는 없다. 만약 그가 능력을 시각 0과 시각 1 사이에 사용했다면, 그는 시각 0으로 돌아갈 것이다. 그는 이 기술을 도시에 있을 때 사용할 수 있다. 비타로의 위치는 능력을 사용해도 변하지 않는다.
비타로는 기술을 사용하면 피곤해 진다. 최소한의 기술을 사용하여 이동하는 방법을 찾기 위한 비타로는 $Q$개의 사고실험을 진행했다. 사고 실험의 $j$ 번째 단계에서는, 그는 다음 중 한 행동을 한다:
$P_j$ 번째 도로가 여행될수 있는 시각을 바꾼다. 바뀐 이후에는, 시각 $S_j$와 시각 $E_j$ 사이에만 $P_j$ 번째 도로를 통과할 수 있다.
그가 $A_j$번 도시, 시각 $B_j$에 있다고 할 때, $C_j$번 도시, 시각 $D_j$로 이동하기 위해 사용해야하는 능력의 수의 최솟값을 구하여라.
그는 사고실험의 결과를 궁금해한다.
비버랜드의 도시의 수, 도로의 정보, 사고실험의 방법이 주어졌을 때, 사고 실험의 결과를 계산하는 프로그램을 작성하여라.
출력
$T_j=2$인 각 단계에 대해서, 사용해야 하는 능력의 수의 최솟값을 한 줄에 하나씩 차례로 출력하여라.
제한
1ドル \le N \le 300\ 000$.
1ドル \le Q \le 300\ 000$.
0ドル \le L_i < R_i \le 999\ 999\ 999$ ($q \le i \le N-1$).
1ドル \le T_j \le 2$ (1ドル \le j \le Q$).
1ドル \le P_j \le N-1$ (1ドル \le j \le Q,ドル $T_j = 1$).
1ドル \le S_j \le E_j \le 999\ 999\ 999$ (1ドル \le j \le Q,ドル $T_j = 1$).
1ドル \le A_j \le N$ (1ドル \le j \le Q,ドル $T_j = 2$).
1ドル \le B_j \le 999\ 999\ 999$ (1ドル \le j \le Q,ドル $T_j = 2$).
1ドル \le C_j \le N$ (1ドル \le j \le Q,ドル $T_j = 2$).
1ドル \le D_j \le 999\ 999\ 999$ (1ドル \le j \le Q,ドル $T_j = 2$).
서브태스크 번호 배점 제한 1 4 N ≤ 1000, Q ≤ 1000.
2 30 Tj = 2 (1 ≤ j ≤ Q).
3 66 No additional constraints.
사고 실험의 첫 번째 단계에서, 비타로는 1번 도시에서 2번 도시로 1쵸만에 이동하고, 2번 도시에서 3번 도시로 1쵸만에 이동하여 3번 도시, 시각 5에 위치하여 있다. 능력을 두번 사용하면, 그는 3번 도시, 시각 3에 위치할 수 있다.
예제 출력 3
복사
145611455
0
447180143
0
207252171
0
0
예제 출력 4
복사
10467449
164858601
[{"problem_id":"17676","problem_lang":"0","title":"\uc2dc\uac04\uc744 \ub2ec\ub9ac\ub294 \ube44\ud0c0\ub85c","description":"<p>\ube44\ubc84\ub79c\ub4dc\uc5d0\ub294 $N$\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\ub2e4. \uc774 \ub3c4\uc2dc\ub4e4\uc740 1\ubc88\ubd80\ud130 $N$\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ubd99\uc5b4\uc788\ub2e4. $i$\ubc88\uc9f8 ($1 \\le i \\le N-1$) \ub3c4\ub85c\ub294 $i$\ubc88 \ub3c4\uc2dc\uc640 $i+1$\ubc88 \ub3c4\uc2dc\ub97c \uc591\ubc29\ud5a5\uc73c\ub85c \uc787\ub294\ub2e4. \ub610\ud55c, \ube44\ubc84\ub79c\ub4dc\uc758 \ud558\ub8e8\ub294 1 000 000 000\uac1c\uc758 \ub2e8\uc704\uc2dc\uac04\uc73c\ub85c \ubd84\uc5f4\ub418\uc5b4 \uc788\uace0, \uc774 \ub2e8\uc704\uc2dc\uac04\uc744 <em>\ucd78<\/em>\ub77c\uace0 \ubd80\ub978\ub2e4. \ud558\ub8e8\uac00 \uc2dc\uc791\ud558\uace0 \ub098\uc11c $x$\ucd78\uac00 \uc9c0\ub09c \uc2dc\uac04\uc744 \uc2dc\uac01 $x$\ub77c \ubd80\ub978\ub2e4. \ud55c \ub3c4\ub85c\ub97c \ud1b5\uacfc\ud558\ub294 \ub370\uc5d0\ub294 1\ucd78\uac00 \uac78\ub9ac\uace0, $i$\ubc88\uc9f8 \ub3c4\ub85c\ub294 \uc2dc\uac01 $L_i$\uc640 \uc2dc\uac01 $R_i$ \uc0ac\uc774\uc5d0\ub9cc \ud1b5\uacfc\ud560 \uc218 \uc788\ub2e4. \uad6c\uccb4\uc801\uc73c\ub85c, $i$\ubc88\uc9f8 \ub3c4\ub85c\ub97c \ud1b5\uacfc\ud558\uae30 \uc704\ud574\uc11c \uc6b0\ub9ac\ub294 \ub3c4\uc2dc $i$\ub098 $i+1$\uc744 $L_i \\le x \\le R_i -1$ \uc744 \ub9cc\uc871\ud558\ub294 \uc2dc\uac01 $x$\uc5d0 \ub5a0\ub098\uc57c \ud558\uace0, \ub2e4\ub978 \ub3c4\uc2dc\uc5d0 \uc2dc\uac01 $x+1$\uc5d0 \ub3c4\ucc29\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ube44\ud0c0\ub85c\ub294 \ube44\ubc84\ub79c\ub4dc\uc5d0 \uc0ac\ub294 \ud3c9\ubc94\ud55c \ube44\ubc84\ub2e4. \uc544\ub2c8, \ube44\ubc84\uc600\ub2e4 \ub77c\uace0 \ud558\ub294\uac8c \uc633\uc740 \uac83\uc77c\uae4c. \uc9c0\uac01\uc744 \uc790\uc8fc\ud55c \ube44\ud0c0\ub85c\ub294 \uc774\ub97c \uac1c\uc120\ud558\ub824\uace0 \ud55c \uacb0\uacfc\ub85c \uc2dc\uac04\uc744 \uac70\uc2ac\ub7ec \uc62c\ub77c\uac00\ub294\uac8c \uac00\ub2a5\ud574 \uc84c\ub2e4. \uc774 \ub2a5\ub825\uc744 \ud55c \ubc88 \uc0ac\uc6a9\ud558\uba74 1\ucd78 \ub4a4\ub85c \uac08 \uc218 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \uc5b4\uc81c\ub85c \uac08 \uc218\ub294 \uc5c6\ub2e4. \ub9cc\uc57d \uadf8\uac00 \ub2a5\ub825\uc744 \uc2dc\uac01 0\uacfc \uc2dc\uac01 1 \uc0ac\uc774\uc5d0 \uc0ac\uc6a9\ud588\ub2e4\uba74, \uadf8\ub294 \uc2dc\uac01 0\uc73c\ub85c \ub3cc\uc544\uac08 \uac83\uc774\ub2e4. \uadf8\ub294 \uc774 \uae30\uc220\uc744 \ub3c4\uc2dc\uc5d0 \uc788\uc744 \ub54c \uc0ac\uc6a9\ud560 \uc218 \uc788\ub2e4. \ube44\ud0c0\ub85c\uc758 \uc704\uce58\ub294 \ub2a5\ub825\uc744 \uc0ac\uc6a9\ud574\ub3c4 \ubcc0\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ube44\ud0c0\ub85c\ub294 \uae30\uc220\uc744 \uc0ac\uc6a9\ud558\uba74 \ud53c\uace4\ud574 \uc9c4\ub2e4. \ucd5c\uc18c\ud55c\uc758 \uae30\uc220\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc774\ub3d9\ud558\ub294 \ubc29\ubc95\uc744 \ucc3e\uae30 \uc704\ud55c \ube44\ud0c0\ub85c\ub294 $Q$\uac1c\uc758 \uc0ac\uace0\uc2e4\ud5d8\uc744 \uc9c4\ud589\ud588\ub2e4. \uc0ac\uace0 \uc2e4\ud5d8\uc758 $j$ \ubc88\uc9f8 \ub2e8\uacc4\uc5d0\uc11c\ub294, \uadf8\ub294 \ub2e4\uc74c \uc911 \ud55c \ud589\ub3d9\uc744 \ud55c\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li>$P_j$ \ubc88\uc9f8 \ub3c4\ub85c\uac00 \uc5ec\ud589\ub420\uc218 \uc788\ub294 \uc2dc\uac01\uc744 \ubc14\uafbc\ub2e4. \ubc14\ub010 \uc774\ud6c4\uc5d0\ub294, \uc2dc\uac01 $S_j$\uc640 \uc2dc\uac01 $E_j$ \uc0ac\uc774\uc5d0\ub9cc $P_j$ \ubc88\uc9f8 \ub3c4\ub85c\ub97c \ud1b5\uacfc\ud560 \uc218 \uc788\ub2e4.<\/li>\r\n\t<li>\uadf8\uac00 $A_j$\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 $B_j$\uc5d0 \uc788\ub2e4\uace0 \ud560 \ub54c, $C_j$\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 $D_j$\ub85c \uc774\ub3d9\ud558\uae30 \uc704\ud574 \uc0ac\uc6a9\ud574\uc57c\ud558\ub294 \ub2a5\ub825\uc758 \uc218\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud558\uc5ec\ub77c.<\/li>\r\n<\/ul>\r\n\r\n<p>\uadf8\ub294 \uc0ac\uace0\uc2e4\ud5d8\uc758 \uacb0\uacfc\ub97c \uad81\uae08\ud574\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ube44\ubc84\ub79c\ub4dc\uc758 \ub3c4\uc2dc\uc758 \uc218, \ub3c4\ub85c\uc758 \uc815\ubcf4, \uc0ac\uace0\uc2e4\ud5d8\uc758 \ubc29\ubc95\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc0ac\uace0 \uc2e4\ud5d8\uc758 \uacb0\uacfc\ub97c \uacc4\uc0b0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc5ec\ub77c.<\/p>\r\n","input":"<p>\ud45c\uc900 \uc785\ub825\uc5d0\uc11c \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uac12\uc740 \uc815\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>$N$ $Q$<\/p>\r\n\r\n<p>$L_1$ $R_1$<\/p>\r\n\r\n<p>$\\vdots$<\/p>\r\n\r\n<p>$L_{N-1}$ $R_{N-1}$<\/p>\r\n\r\n<p>(Query 1)<\/p>\r\n\r\n<p>$\\vdots$<\/p>\r\n\r\n<p>(Query $Q$)<\/p>\r\n\r\n<p>\uc5ec\uae30\uc11c, (Query $j$)\ub294 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub41c 4\uac1c\ub098 5\uac1c\uc758 \uc815\uc218\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. $T_j$\uac00 \uccab \ubc88\uc9f8 \uc815\uc218\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74,<\/p>\r\n\r\n<ul>\r\n\t<li>$T_j=1$\uc778 \uacbd\uc6b0, (Query $j$)\ub294 4\uac1c\uc758 \uc815\uc218 $T_j$, $P_j$, $S_j$, $E_j$\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uc774\uac83\uc740, \uc0ac\uace0 \uc2e4\ud5d8\uc758 $j$\ubc88\uc9f8 \ub2e8\uacc4\uc5d0\uc11c, $P_j$\ubc88\uc9f8 \ub3c4\ub85c\ub97c \uc9c0\ub0a0\uc218 \uc788\ub294 \uc2dc\uac04\uc774 \uc2dc\uac01 $S_j$\uc640 \uc2dc\uac01 $E_j$ \uc0ac\uc774\ub85c \ubc14\ub010\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/li>\r\n\t<li>$T_j=2$\uc778 \uacbd\uc6b0, (Query $j$)\ub294 5\uac1c\uc758 \uc815\uc218 $T_j$, $A_j$, $B_j$, $C_j$, $D_j$\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uc774\ub294, $j$\ubc88\uc9f8 \uc0ac\uace0 \uc2e4\ud5d8\uc5d0\uc11c, \ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc774 \ube44\ud0c0\ub85c\uac00 $A_j$\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 $B_j$\uc5d0 \uc788\ub2e4\uace0 \ud560 \ub54c, $C_j$\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 $D_j$\ub85c \uc774\ub3d9\ud558\uae30 \uc704\ud574 \uc0ac\uc6a9\ud574\uc57c\ud558\ub294 \ub2a5\ub825\uc758 \uc218\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud574\uc57c \ud55c\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n","output":"<p>$T_j=2$\uc778 \uac01 \ub2e8\uacc4\uc5d0 \ub300\ud574\uc11c, \uc0ac\uc6a9\ud574\uc57c \ud558\ub294 \ub2a5\ub825\uc758 \uc218\uc758 \ucd5c\uc19f\uac12\uc744 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \ucc28\ub840\ub85c \ucd9c\ub825\ud558\uc5ec\ub77c.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1 \\le N \\le 300\\ 000$.<\/li>\r\n\t<li>$1 \\le Q \\le 300\\ 000$.<\/li>\r\n\t<li>$0 \\le L_i &lt; R_i \\le 999\\ 999\\ 999$ ($q \\le i \\le N-1$).<\/li>\r\n\t<li>$1 \\le T_j \\le 2$ ($1 \\le j \\le Q$).<\/li>\r\n\t<li>$1 \\le P_j \\le N-1$ ($1 \\le j \\le Q$, $T_j = 1$).<\/li>\r\n\t<li>$1 \\le S_j \\le E_j \\le 999\\ 999\\ 999$ ($1 \\le j \\le Q$, $T_j = 1$).<\/li>\r\n\t<li>$1 \\le A_j \\le N$ ($1 \\le j \\le Q$, $T_j = 2$).<\/li>\r\n\t<li>$1 \\le B_j \\le 999\\ 999\\ 999$ ($1 \\le j \\le Q$, $T_j = 2$).<\/li>\r\n\t<li>$1 \\le C_j \\le N$ ($1 \\le j \\le Q$, $T_j = 2$).<\/li>\r\n\t<li>$1 \\le D_j \\le 999\\ 999\\ 999$ ($1 \\le j \\le Q$, $T_j = 2$).<\/li>\r\n<\/ul>\r\n","subtask1":"<p>N &le; 1000, Q &le; 1000.<\/p>\r\n","subtask2":"<p>T<sub>j<\/sub> = 2 (1 &le; j &le; Q).<\/p>\r\n","subtask3":"<p>No additional constraints.<\/p>\r\n","sample_explain_1":"<p style=\"text-align: justify;\">\uc0ac\uace0 \uc2e4\ud5d8\uc758 \uccab \ubc88\uc9f8 \ub2e8\uacc4\uc5d0\uc11c, \ube44\ud0c0\ub85c\ub294 1\ubc88 \ub3c4\uc2dc\uc5d0\uc11c 2\ubc88 \ub3c4\uc2dc\ub85c 1\ucd78\ub9cc\uc5d0 \uc774\ub3d9\ud558\uace0, 2\ubc88 \ub3c4\uc2dc\uc5d0\uc11c 3\ubc88 \ub3c4\uc2dc\ub85c 1\ucd78\ub9cc\uc5d0 \uc774\ub3d9\ud558\uc5ec 3\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 5\uc5d0 \uc704\uce58\ud558\uc5ec \uc788\ub2e4. \ub2a5\ub825\uc744 \ub450\ubc88 \uc0ac\uc6a9\ud558\uba74, \uadf8\ub294 3\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 3\uc5d0 \uc704\uce58\ud560 \uc218 \uc788\ub2e4.<br \/>\r\n\uc0ac\uace0 \uc2e4\ud5d8\uc758 \ub450 \ubc88\uc9f8 \ub2e8\uacc4\uc5d0\uc11c, 2\ubc88 \ub3c4\uc2dc\ub97c \ud1b5\uacfc\ud560 \uc218 \uc788\ub294 \uc2dc\uac04\uc774 \uc2dc\uac01 0\ubd80\ud130 \uc2dc\uac01 1\uae4c\uc9c0\ub85c \ubc14\ub010\ub2e4.<br \/>\r\n\uc0ac\uace0 \uc2e4\ud5d8\uc758 \uc138 \ubc88\uc9f8 \ub2e8\uacc4\uc5d0\uc11c, 1\ubc88 \ub3c4\uc2dc\uc5d0\uc11c 2\ubc88 \ub3c4\uc2dc\ub85c 1\ucd78 \ub9cc\uc5d0 \uc774\ub3d9\ud558\uc5ec, 2\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 4\uc5d0 \uc704\uce58\ud574 \uc788\ub2e4. \uc5ec\uae30\uc11c \ub2a5\ub825\uc744 \ub124 \ubc88 \uc0ac\uc6a9\ud558\uba74, 3\ubc88 \ub3c4\uc2dc\ub85c 1\ucd78\ub9cc\uc5d0 \uc774\ub3d9\ud558\uc5ec 2\ucd78\ub97c \uae30\ub2e4\ub9ac\uba74 3\ubc88 \ub3c4\uc2dc, \uc2dc\uac01 3\uc5d0 \uc704\uce58\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n"},{"problem_id":"17676","problem_lang":"1","title":"Bitaro, who Leaps through Time","description":"<p>Beaverland consists of N cities, numbered from 1 to N. There are N &minus; 1 roads connecting cities. The i-th (1 &le; i &le; N&minus;1) road connects the city i and the city i+1 bidirectionally. In Beaverland, they use Byou as the unit of time. Each day in Beaverland is 1 000 000 000 Byous long. The moment x Byous (0 &le; x &lt; 1 000 000 000) after the beginning of a day is called time x. It takes 1 Byou to pass through any of the roads, and the i-th road can be passed through only between time L<sub>i<\/sub> and time R<sub>i<\/sub> every day. Specifically, to pass through the i-th road, we must leave the city i or the city i + 1 at time x satisfying L<sub>i<\/sub> &le; x &le; R<sub>i<\/sub> &minus; 1, and must arrive at the other city at time x + 1.<\/p>\r\n\r\n<p>Bitaro used to be an ordinary Beaver living in Beaverland. However, as he tries to cope with his lateness, he has finally acquired the skill of leaping through time. By using this skill once, he can go back 1 Byou ago. He cannot go back to the day before: if he uses the skill between time 0 and time 1, he will go back to time 0 of the day. He can use this skill only when he is at a city. The position of Bitaro does not change on using the skill.<\/p>\r\n\r\n<p>Bitaro gets tired when he uses the skill. To find ways to travel with fewer number of usage of the skill, he decided to do a thought experiment consisting of Q steps. In the j-th (1 &le; j &le; Q) step in the thought experiment, he does one of the followings:<\/p>\r\n\r\n<ul>\r\n\t<li>Change the duration in which the P<sub>j<\/sub>-th road can be traveled. After the modification, it can be passed through only between time S<sub>j<\/sub> and time E<sub>j<\/sub>.<\/li>\r\n\t<li>Suppose he is at the city A<sub>j<\/sub> at time B<sub>j<\/sub>. Then, compute the minimum number of usage of the skill to be at the city C<sub>j<\/sub> at time D<sub>j<\/sub> on the day.<\/li>\r\n<\/ul>\r\n\r\n<p>He wonders the result of the thought experiment.<\/p>\r\n\r\n<p>Write a program which, given the number of cities in Beaverland, the information of roads, and the details of the thought experiment, calculates the result of the thought experiment.<\/p>\r\n","input":"<p>Read the following data from the standard input. All the values in the input are integers.<\/p>\r\n\r\n<pre>\r\nN Q\r\nL<sub>1<\/sub> R<sub>1<\/sub>\r\n.\r\n.\r\n.\r\nL<sub>N&minus;1<\/sub> R<sub>N&minus;1<\/sub>\r\n(Query 1)\r\n.\r\n.\r\n.\r\n(Query Q)<\/pre>\r\n\r\n<p>Here, each (Query j) consists of 4 or 5 integers separated by a space. Let T<sub>j<\/sub> be the first integer in it. Then,<\/p>\r\n\r\n<ul>\r\n\t<li>If T<sub>j<\/sub> = 1, (Query j) consists of 4 integers T<sub>j<\/sub> , P<sub>j<\/sub>, S<sub>j<\/sub> and E<sub>j<\/sub>. This means that, in the j-th step of the thought experiment, the duration in which the P<sub>j<\/sub>-th road can be passed is changed to the interval between time S<sub>j<\/sub> and time E<sub>j<\/sub>.<\/li>\r\n\t<li>If T<sub>j<\/sub> = 2, (Query j) consists of 5 integers T<sub>j<\/sub>, A<sub>j<\/sub>, B<sub>j<\/sub>, C<sub>j<\/sub> and D<sub>j<\/sub>. This means that, in the j-th step of the thought experiment, your program should compute the minimum number of usage of the skill to be at the city C<sub>j<\/sub> at time D<sub>j<\/sub> on the day, on the assumption that Bitaro is at the city A<sub>j<\/sub> at time Bj.<\/li>\r\n<\/ul>\r\n","output":"<p>For each step with T j = 2, write a line containing the minimum number of usage of the skill to the standard output, in order.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>1 &le; N &le; 300 000\uff0e<\/li>\r\n\t<li>1 &le; Q &le; 300 000\uff0e<\/li>\r\n\t<li>0 &le; L<sub>i<\/sub> &lt; Ri &le; 999 999 999 (1 &le; i &le; N &minus; 1)\uff0e<\/li>\r\n\t<li>1 &le; T<sub>j<\/sub> &le; 2 (1 &le; j &le; Q)\uff0e<\/li>\r\n\t<li>1&nbsp;&le; P<sub>j<\/sub> &le; N &minus; 1 (1 &le; j &le; Q\uff0cT<sub>j<\/sub> = 1)\uff0e<\/li>\r\n\t<li>0 &le; S<sub>j<\/sub> &lt; E<sub>j<\/sub> &le; 999 999 999 (1 &le; j &le; Q\uff0cT<sub>j<\/sub> = 1)\uff0e<\/li>\r\n\t<li>1 &le; A<sub>j<\/sub> &le; N (1 &le; j &le; Q\uff0cT<sub>j<\/sub> = 2)\uff0e<\/li>\r\n\t<li>0 &le; B<sub>j<\/sub> &le; 999 999 999 (1 &le; j &le; Q\uff0cT<sub>j<\/sub> = 2).<\/li>\r\n\t<li>1 &le; C<sub>j<\/sub> &le; N (1 &le; j &le; Q\uff0cT<sub>j<\/sub> = 2)\uff0e<\/li>\r\n\t<li>0 &le; D<sub>j<\/sub> &le; 999 999 999 (1 &le; j &le; Q\uff0cT<sub>j<\/sub> = 2)\uff0e<\/li>\r\n<\/ul>\r\n","subtask1":"<p>N &le; 1000, Q &le; 1000.<\/p>\r\n","subtask2":"<p>T<sub>j<\/sub> = 2 (1 &le; j &le; Q).<\/p>\r\n","subtask3":"<p>No additional constraints.<\/p>\r\n","sample_explain_1":"<p>In the 1st step of the thought experiment, Bitaro moves from the city 1 to the city 2 in 1 Byou, then moves from the city 2 to the city 3 in 1 Byou to be at the city 3 at time 5. Therefore, by using the skill twice, he can be at the city 3 at time 3.<\/p>\r\n\r\n<p>In the 2nd step of the thought experiment, the duration in which the 2nd road can be passed is changed to the interval between time 0 and time 1.<\/p>\r\n\r\n<p>In the 3rd step of the thought experiment, Bitaro moves from the city 1 to the city 2 in 1 Byou to be at the city 2 at time 4. Then, he uses the skill four times, moves to the city 3 in 1 Byou and wait 2 Byous to be at the city 3 at time 3.<\/p>\r\n"}]