题目:选点
分析:
看似是树形dp,其实是个LIS 考虑到父节点跟左右儿子的大小关系,将三者按根、右儿子、左儿子排成一个数组,然后跑LIS即可,太妙了,我又没想出来。
代码:
#include <bits/stdc++.h>
using namespace std
;
typedef long long ll
;
#define print(i) cout << "debug: " << i << endl
#define close() ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define mem(a, b) memset(a, b, sizeof(a))
#define pb(a) push_back(a)
#define x first
#define y second
typedef pair
<int, int> par
;
const ll mod
= 1e9 + 7;
const int maxn
= 1e6 + 10;
const int inf
= 0x3f3f3f3f;
int n
;
int l
[maxn
], r
[maxn
];
ll v
[maxn
], w
[maxn
];
int dp
[maxn
];
int len
, tot
;
void dfs(int u
)
{
if(!u
) return;
w
[++tot
] = v
[u
];
dfs(r
[u
]), dfs(l
[u
]);
}
int main()
{
cin
>> n
;
for(int i
= 1; i
<= n
; i
++) cin
>> v
[i
];
for(int i
= 1; i
<= n
; i
++)
cin
>> l
[i
] >> r
[i
];
dfs(1);
for(int i
= 1; i
<= n
; i
++)
{
int id
= upper_bound(dp
+ 1, dp
+ len
+ 1, w
[i
]) - dp
;
if(id
== len
+ 1) dp
[++len
] = w
[i
];
else dp
[id
] = w
[i
];
}
cout
<< len
<< endl
;
}
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