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#21432. 經典題

Estadísticas

有 $n$ 個任務,任務 $i$ 需要佔用 $[l_i,r_i]$ 入面嘅一個格仔,如果佔用嘅格仔編號 $\le t_i$,就會額外獲得 $1$ 獎勵,求所有任務都完成嘅情況下可以獲得嘅最大獎勵。

輸入格式

一行兩個整數 $n,m$,分別係任務嘅數量同埋格仔數量。

接住落嚟 $n$ 行,每行三個整數 $l,r,t$ 表示一個任務。

輸出格式

如果無法完成所有任務,輸出 $-1$,否則輸出答案。

範例 1

輸入

3 3
1 2 1
1 2 1
2 3 2

輸出

1

範例解釋

將任務依次分配畀 $1,2,3$ 格仔,可以知道有一個任務能夠獲得獎勵。

資料範圍

對於所有資料,滿足 $1\le n,m\le 5\times 10^5, 1\le l_i \le t_i \le r_i \le m$。

子任務 分值 特殊限制
$1$ $3$ $n,m \le 15$
$2$ $12$ 所有 $l_i$ 相等
$3$ $3$ 所有 $t_i$ 相等
$4$ $19$ $n,m \le 500$
$5$ $20$ $n,m \le 2000$
$6$ $21$ $n,m \le 10^5$
$7$ $22$ $n,m \le 5\times 10^5$

開啟咗合理嘅子任務依賴。

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