A15701 | GamingForces
时间限制1s
内存限制256MB
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题目描述
Monocarp is playing a computer game. He's going to kill $n$ monsters, the $i$ -th of them has $h_i$ health.
Monocarp's character has two spells, either of which he can cast an arbitrary number of times (possibly, zero) and in an arbitrary order:
- choose exactly two alive monsters and decrease their health by $1$ ;
- choose a single monster and kill it.
When a monster's health becomes $0$ , it dies.
What's the minimum number of spell casts Monocarp should perform in order to kill all monsters?
Monocarp's character has two spells, either of which he can cast an arbitrary number of times (possibly, zero) and in an arbitrary order:
- choose exactly two alive monsters and decrease their health by $1$ ;
- choose a single monster and kill it.
When a monster's health becomes $0$ , it dies.
What's the minimum number of spell casts Monocarp should perform in order to kill all monsters?
输入格式
The first line contains a single integer $t$ ( $1 \le t \le 10^4$ ) — the number of testcases.
The first line of each testcase contains a single integer $n$ ( $1 \le n \le 100$ ) — the number of monsters.
The second line contains $n$ integers $h_1, h_2, \dots, h_n$ ( $1 \le h_i \le 100$ ) — the health of each monster.
The sum of $n$ over all testcases doesn't exceed $2 \cdot 10^4$ .
The first line of each testcase contains a single integer $n$ ( $1 \le n \le 100$ ) — the number of monsters.
The second line contains $n$ integers $h_1, h_2, \dots, h_n$ ( $1 \le h_i \le 100$ ) — the health of each monster.
The sum of $n$ over all testcases doesn't exceed $2 \cdot 10^4$ .
输出格式
For each testcase, print a single integer — the minimum number of spell casts Monocarp should perform in order to kill all monsters.
输入输出样例
输入 #1
3 4 1 2 1 2 3 2 4 2 5 1 2 3 4 5
输出 #1
3 3 5
In the first testcase, the initial health list is $[1, 2, 1, 2]$ . Three spells are casted:
- the first spell on monsters $1$ and $2$ — monster $1$ dies, monster $2$ has now health $1$ , new health list is $[0, 1, 1, 2]$ ;
- the first spell on monsters $3$ and $4$ — monster $3$ dies, monster $4$ has now health $1$ , new health list is $[0, 1, 0, 1]$ ;
- the first spell on monsters $2$ and $4$ — both monsters $2$ and $4$ die.
In the second testcase, the initial health list is $[2, 4, 2]$ . Three spells are casted:
- the first spell on monsters $1$ and $3$ — both monsters have health $1$ now, new health list is $[1, 4, 1]$ ;
- the second spell on monster $2$ — monster $2$ dies, new health list is $[1, 0, 1]$ ;
- the first spell on monsters $1$ and $3$ — both monsters $1$ and $3$ die.
In the third testcase, the initial health list is $[1, 2, 3, 4, 5]$ . Five spells are casted. The $i$ -th of them kills the $i$ -th monster with the second spell. Health list sequence: $[1, 2, 3, 4, 5]$ $\rightarrow$ $[0, 2, 3, 4, 5]$ $\rightarrow$ $[0, 0, 3, 4, 5]$ $\rightarrow$ $[0, 0, 0, 4, 5]$ $\rightarrow$ $[0, 0, 0, 0, 5]$ $\rightarrow$ $[0, 0, 0, 0, 0]$ .
- the first spell on monsters $1$ and $2$ — monster $1$ dies, monster $2$ has now health $1$ , new health list is $[0, 1, 1, 2]$ ;
- the first spell on monsters $3$ and $4$ — monster $3$ dies, monster $4$ has now health $1$ , new health list is $[0, 1, 0, 1]$ ;
- the first spell on monsters $2$ and $4$ — both monsters $2$ and $4$ die.
In the second testcase, the initial health list is $[2, 4, 2]$ . Three spells are casted:
- the first spell on monsters $1$ and $3$ — both monsters have health $1$ now, new health list is $[1, 4, 1]$ ;
- the second spell on monster $2$ — monster $2$ dies, new health list is $[1, 0, 1]$ ;
- the first spell on monsters $1$ and $3$ — both monsters $1$ and $3$ die.
In the third testcase, the initial health list is $[1, 2, 3, 4, 5]$ . Five spells are casted. The $i$ -th of them kills the $i$ -th monster with the second spell. Health list sequence: $[1, 2, 3, 4, 5]$ $\rightarrow$ $[0, 2, 3, 4, 5]$ $\rightarrow$ $[0, 0, 3, 4, 5]$ $\rightarrow$ $[0, 0, 0, 4, 5]$ $\rightarrow$ $[0, 0, 0, 0, 5]$ $\rightarrow$ $[0, 0, 0, 0, 0]$ .
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评测结果：Accepted