Nutrients

AtCoder

IDabc356_b

Time2000ms

Memory256MB

Difficulty—

Takahashi is health-conscious and concerned about whether he is getting enough of $M$ types of nutrients from his diet. For the $i$\-th nutrient, his goal is to take at least $A_i$ units per day. Today, he ate $N$ foods, and from the $i$\-th food, he took $X_{i,j}$ units of nutrient $j$. Determine whether he has met the goal for all $M$ types of nutrients. ## Constraints * $1 \leq N \leq 100$ * $1 \leq M \leq 100$ * $0 \leq A_i, X_{i,j} \leq 10^7$ * All input values are integers. ## Input The input is given from Standard Input in the following format: $N$ $M$ $A_1$ $\ldots$ $A_M$ $X_{1,1}$ $\ldots$ $X_{1,M}$ $\vdots$ $X_{N,1}$ $\ldots$ $X_{N,M}$ [samples]

Samples

Input #1

Output #1

Yes

For nutrient $1$, Takahashi took $20$ units from the $1$\-st food and $0$ units from the $2$\-nd food, totaling $20$ units, thus meeting the goal of taking at least $10$ units.  
Similarly, he meets the goal for nutrients $2$ and $3$.

Input #2

2 4
10 20 30 40
20 0 10 30
0 100 100 0

Output #2

No

The goal is not met for nutrient $4$.

API Response (JSON)

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      "content": "Takahashi is health-conscious and concerned about whether he is getting enough of $M$ types of nutrients from his diet. For the $i$\\-th nutrient, his goal is to take at least $A_i$ units per day. Toda",
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      "memory_limit": 262144
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    "difficulty": "None",
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi is health-conscious and concerned about whether he is getting enough of $M$ types of nutrients from his diet.\nFor the $i$\\-th nutrient, his goal is to take at least $A_i$ units per day.\nToda...",
      "is_translate": false,
      "language": "English"
    }
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