Ex - Negative Cost

AtCoder

IDabc310_h

Time3000ms

Memory256MB

Difficulty—

A monster with health $H$ has appeared right in front of you. Your magic power is now $0$. You can use $N$ moves called move $1$, move $2$, $\ldots$, move $N$, any number of times in any order. For each $i = 1, 2, \ldots, N$, move $i$ can only be used when your magic power is at least $C_i$, and its use will decrease your magic power by $C_i$ and the monster's health by $D_i$. Here, if $C_i$ is negative, decreasing your magic power by $C_i$ means increasing it by $-C_i$. Find the minimum possible number of times you use moves before the monster's health is $0$ or lower. The constraints of this problem guarantee that a finite number of uses of moves can make it $0$ or lower (see below). ## Constraints * $1 \leq N \leq 300$ * $1 \leq H \leq 10^{18}$ * $-300 \leq C_i \leq 300$ * $C_i \leq 0$ for some $1 \leq i \leq N$. * $1 \leq D_i \leq 10^9$ * All input values are integers. ## Input The input is given from Standard Input in the following format: $N$ $H$ $C_1$ $D_1$ $C_2$ $D_2$ $\vdots$ $C_N$ $D_N$ [samples]

Samples

Input #1

Output #1

5

From the initial state where your magic power is $0$ and the monster's health is $48$, consider using moves as follows.

*   Use move $2$. Now, your magic power is $4$, and the monster's health is $46$.
*   Use move $3$. Now, your magic power is $3$, and the monster's health is $41$.
*   Use move $1$. Now, your magic power is $0$, and the monster's health is $21$.
*   Use move $2$. Now, your magic power is $4$, and the monster's health is $19$.
*   Use move $1$. Now, your magic power is $1$, and the monster's health is $-1$.

Here, you use moves five times before the monster's health is not greater than $0$, which is the minimum possible number.

Input #2

20 583988303060450752
-64 273760634
-238 960719353
-114 191410838
-250 357733867
232 304621362
-286 644706927
210 37849132
-230 556412112
-142 136397527
101 380675202
-140 152300688
190 442931589
-187 940659077
-12 312523039
32 126515475
-143 979861204
105 488280613
240 664922712
290 732741849
69 541282303

Output #2

595990842

API Response (JSON)

{
  "problem": {
    "name": "Ex - Negative Cost",
    "description": {
      "content": "A monster with health $H$ has appeared right in front of you. Your magic power is now $0$. You can use $N$ moves called move $1$, move $2$, $\\ldots$, move $N$, any number of times in any order. For ea",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 3000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc310_h"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "A monster with health $H$ has appeared right in front of you. Your magic power is now $0$.\nYou can use $N$ moves called move $1$, move $2$, $\\ldots$, move $N$, any number of times in any order.\nFor ea...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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