{"problem":{"name":"Many Formulas","description":{"content":"You are given a string $S$ consisting of digits between `1` and `9`, inclusive. You can insert the letter `+` into some of the positions (possibly none) between two letters in this string. Here, `+` m","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"arc061_a"},"statements":[{"statement_type":"Markdown","content":"You are given a string $S$ consisting of digits between `1` and `9`, inclusive. You can insert the letter `+` into some of the positions (possibly none) between two letters in this string. Here, `+` must not occur consecutively after insertion.\nAll strings that can be obtained in this way can be evaluated as formulas.\nEvaluate all possible formulas, and print the sum of the results.\n\n## Constraints\n\n*   $1 \\leq |S| \\leq 10$\n*   All letters in $S$ are digits between `1` and `9`, inclusive.\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$S$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"arc061_a","tags":[],"sample_group":[["125","176\n\nThere are $4$ formulas that can be obtained: `125`, `1+25`, `12+5` and `1+2+5`. When each formula is evaluated,\n\n*   $125$\n*   $1+25=26$\n*   $12+5=17$\n*   $1+2+5=8$\n\nThus, the sum is $125+26+17+8=176$."],["9999999999","12656242944"]],"created_at":"2026-03-03 11:01:13"}}