{"problem":{"name":"Circular Playlist","description":{"content":"We have a playlist with $N$ songs numbered $1, \\dots, N$.   Song $i$ lasts $A_i$ seconds. When the playlist is played, song $1$, song $2$, $\\ldots$, and song $N$ play in this order. When song $N$ ends","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc281_c"},"statements":[{"statement_type":"Markdown","content":"We have a playlist with $N$ songs numbered $1, \\dots, N$.  \nSong $i$ lasts $A_i$ seconds.\nWhen the playlist is played, song $1$, song $2$, $\\ldots$, and song $N$ play in this order. When song $N$ ends, the playlist repeats itself, starting from song $1$ again. While a song is playing, the next song does not play; when a song ends, the next song starts immediately.\nAt exactly $T$ seconds after the playlist starts playing, which song is playing? Also, how many seconds have passed since the start of that song?  \nThere is no input where the playlist changes songs at exactly $T$ seconds after it starts playing.\n\n## Constraints\n\n*   $1 \\leq N \\leq 10^5$\n*   $1 \\leq T \\leq 10^{18}$\n*   $1 \\leq A_i \\leq 10^9$\n*   The playlist does not change songs at exactly $T$ seconds after it starts playing.\n*   All values in the input are integers.\n\n## Input\n\nThe input is given from Standard Input in the following format:\n\n$N$ $T$\n$A_1$ $\\ldots$ $A_N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc281_c","tags":[],"sample_group":[["3 600\n180 240 120","1 60\n\nWhen the playlist is played, the following happens. (Assume that it starts playing at time $0$.)\n\n*   From time $0$ to time $180$, song $1$ plays.\n*   From time $180$ to time $420$, song $2$ plays.\n*   From time $420$ to time $540$, song $3$ plays.\n*   From time $540$ to time $720$, song $1$ plays.\n*   From time $720$ to time $960$, song $2$ plays.\n*   $\\qquad\\vdots$\n\nAt time $600$, song $1$ is playing, and $60$ seconds have passed since the start of that song."],["3 281\n94 94 94","3 93"],["10 5678912340\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000","6 678912340"]],"created_at":"2026-03-03 11:01:14"}}