結果
| 問題 | 
                            No.584 赤、緑、青の色塗り
                             | 
                    
| コンテスト | |
| ユーザー | 
                             gew1fw
                         | 
                    
| 提出日時 | 2025-06-12 15:51:12 | 
| 言語 | PyPy3  (7.3.15)  | 
                    
| 結果 | 
                             
                                TLE
                                 
                             
                            
                         | 
                    
| 実行時間 | - | 
| コード長 | 2,789 bytes | 
| コンパイル時間 | 164 ms | 
| コンパイル使用メモリ | 82,580 KB | 
| 実行使用メモリ | 90,924 KB | 
| 最終ジャッジ日時 | 2025-06-12 15:51:29 | 
| 合計ジャッジ時間 | 5,078 ms | 
| 
                            ジャッジサーバーID (参考情報)  | 
                        judge2 / judge5 | 
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| ファイルパターン | 結果 | 
|---|---|
| sample | AC * 6 | 
| other | AC * 7 TLE * 1 -- * 6 | 
ソースコード
MOD = 10**9 + 7
def main():
    import sys
    input = sys.stdin.read
    N, R, G, B = map(int, input().split())
    total = R + G + B
    if total > N:
        print(0)
        return
    from collections import defaultdict
    # Initialize DP
    dp = defaultdict(int)
    dp[(0, 0, None, R, G, B)] = 1  # (i, run_length, last_color, r, g, b)
    colors = ['R', 'G', 'B']
    color_map = {'R': (R, 0, 0), 'G': (0, G, 0), 'B': (0, 0, B)}
    for i in range(N):
        current_dp = dp
        next_dp = defaultdict(int)
        for (pos, run_length, last_color, r, g, b) in current_dp:
            if pos != i:
                continue  # Only process the current position
            count = current_dp[(pos, run_length, last_color, r, g, b)]
            # Option 1: Leave the next cell blank
            next_run_length = 0
            next_last_color = None
            next_r, next_g, next_b = r, g, b
            next_pos = i + 1
            next_dp[(next_pos, next_run_length, next_last_color, next_r, next_g, next_b)] += count
            next_dp[(next_pos, next_run_length, next_last_color, next_r, next_g, next_b)] %= MOD
            # Option 2: Color the next cell
            for color in colors:
                # Check if we have remaining count for this color
                if color == 'R' and r == 0:
                    continue
                if color == 'G' and g == 0:
                    continue
                if color == 'B' and b == 0:
                    continue
                # Check if previous color is same
                if run_length >= 1 and color == last_color:
                    continue
                # Check if run_length is already 2
                if run_length == 2:
                    continue
                new_run_length = run_length + 1
                new_last_color = color
                if color == 'R':
                    new_r = r - 1
                    new_g = g
                    new_b = b
                elif color == 'G':
                    new_r = r
                    new_g = g - 1
                    new_b = b
                else:
                    new_r = r
                    new_g = g
                    new_b = b - 1
                next_pos = i + 1
                next_dp[(next_pos, new_run_length, new_last_color, new_r, new_g, new_b)] += count
                next_dp[(next_pos, new_run_length, new_last_color, new_r, new_g, new_b)] %= MOD
        dp = next_dp
    # Sum all valid end states where i == N
    result = 0
    for (pos, run_length, last_color, r, g, b) in dp:
        if pos == N and r == 0 and g == 0 and b == 0:
            result += dp[(pos, run_length, last_color, r, g, b)]
            result %= MOD
    print(result % MOD)
if __name__ == '__main__':
    main()
            
            
            
        
            
gew1fw