{"trustable":false,"prependHtml":"\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cscript type\u003d\u0027text/x-mathjax-config\u0027\u003eMathJax.Hub.Config({tex2jax: { inlineMath: [[\u0027$\u0027,\u0027$\u0027]] } }); \u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027 src\u003d\u0027https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\u0027\u003e\u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027\u003esetTimeout(function(){MathJax.Hub.Queue([\u0027Typeset\u0027, MathJax.Hub, \u0027left_view\u0027]);}, 2000);\u003c/script\u003e\n\u003cdiv class\u003d\"panel_content\"\u003e\n In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333, 23333... (it means a\u003csub\u003e0,1\u003c/sub\u003e \u003d 233,a\u003csub\u003e0,2\u003c/sub\u003e \u003d 2333,a\u003csub\u003e0,3\u003c/sub\u003e \u003d 23333...) Besides, in 233 matrix, we got a\u003csub\u003ei,j\u003c/sub\u003e \u003d a\u003csub\u003ei-1,j\u003c/sub\u003e +a\u003csub\u003ei,j-1\u003c/sub\u003e( i,j ≠ 0). Now you have known a\u003csub\u003e1,0\u003c/sub\u003e,a\u003csub\u003e2,0\u003c/sub\u003e,...,a\u003csub\u003en,0\u003c/sub\u003e, could you tell me a\u003csub\u003en,m\u003c/sub\u003e in the 233 matrix?\n\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"There are multiple test cases. Please process till EOF.\n\u003cbr\u003e\n\u003cbr\u003e For each case, the first line contains two postive integers n,m(n ≤ 10,m ≤ 10\u003csup\u003e9\u003c/sup\u003e). The second line contains n integers, a\u003csub\u003e1,0\u003c/sub\u003e,a\u003csub\u003e2,0\u003c/sub\u003e,...,a\u003csub\u003en,0\u003c/sub\u003e(0 ≤ a\u003csub\u003ei,0\u003c/sub\u003e \u0026lt; 2\u003csup\u003e31\u003c/sup\u003e)."}},{"title":"Output","value":{"format":"HTML","content":"For each case, output a\u003csub\u003en,m\u003c/sub\u003e mod 10000007."}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cpre\u003e1 1\n1\n2 2\n0 0\n3 7\n23 47 16\u003c/pre\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cpre\u003e234\n2799\n72937\n\n\n \u003ci style\u003d\"font-size:1px\"\u003e \u003c/i\u003e\u003c/pre\u003e"}},{"title":"Hint","value":{"format":"HTML","content":"\u003cpre\u003e\n\n \u003ccenter\u003e\n \u003cimg src\u003d\"CDN_BASE_URL/e16fdbdbfc2b7ec1eb880583fd64a1c5?v\u003d1614770167\"\u003e\n \u003c/center\u003e\n\n \u003c/pre\u003e"}}]}