{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027$$$$$$\u0027, right: \u0027$$$$$$\u0027, display: true},\n {left: \u0027$$$\u0027, right: \u0027$$$\u0027, display: false},\n {left: \u0027$$\u0027, right: \u0027$$\u0027, display: true},\n {left: \u0027$\u0027, right: \u0027$\u0027, display: false}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003e\u003cspan class\u003d\"tex-font-style-it\"\u003eEste é um problema interativo. Você deve usar a operação \u003cspan class\u003d\"tex-font-style-tt\"\u003eflush\u003c/span\u003e após cada linha impressa. Por exemplo, em C++ você deve usar \u003cspan class\u003d\"tex-font-style-tt\"\u003efflush(stdout)\u003c/span\u003e, em Java você deve usar \u003cspan class\u003d\"tex-font-style-tt\"\u003eSystem.out.flush()\u003c/span\u003e, e em Pascal — \u003cspan class\u003d\"tex-font-style-tt\"\u003eflush(output)\u003c/span\u003e.\u003c/span\u003e\u003c/p\u003e\u003cp\u003eNeste problema, você deve adivinhar uma matriz \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e que é desconhecida para você. A única informação que você tem inicialmente é o comprimento \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e da matriz \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eA única ação permitida é perguntar a soma de dois elementos pelos seus índices. Formalmente, você pode imprimir dois índices \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/span\u003e (os índices devem ser \u003cspan class\u003d\"tex-font-style-bf\"\u003edistintos\u003c/span\u003e). Em seguida, seu programa deve ler a resposta: o único inteiro igual a \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e + \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eÉ fácil provar que é sempre possível adivinhar a matriz usando no máximo \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e solicitações.\u003c/p\u003e\u003cp\u003eEscreva um programa que irá adivinhar a matriz \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e fazendo no máximo \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e solicitações.\u003c/p\u003e"}},{"title":"Interação","value":{"format":"HTML","content":"\u003cp\u003eEm cada teste, seu programa deve adivinhar uma única matriz.\u003c/p\u003e\u003cp\u003eA entrada começa com uma linha contendo o inteiro \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e3 ≤ \u003ci\u003en\u003c/i\u003e ≤ 5000\u003c/span\u003e) — o comprimento da matriz. Seu programa deve lê-lo primeiro.\u003c/p\u003e\u003cp\u003eDepois disso, seu programa deve imprimir na saída padrão as solicitações sobre a soma de dois elementos ou informar que a matriz foi adivinhada.\u003c/p\u003e\u003cul\u003e \u003cli\u003e No caso de seu programa fazer uma solicitação para perguntar a soma de dois elementos, ele deve imprimir uma linha no formato \"\u003cspan class\u003d\"tex-font-style-tt\"\u003e? i j\u003c/span\u003e\" (\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/span\u003e são inteiros distintos entre \u003cspan class\u003d\"tex-span\"\u003e1\u003c/span\u003e e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e), onde \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e e \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/span\u003e são índices na matriz \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e.\u003c/li\u003e\u003cli\u003e No caso de seu programa informar que a matriz foi adivinhada, ele deve imprimir uma linha no formato \"\u003cspan class\u003d\"tex-font-style-tt\"\u003e\u003cspan class\u003d\"tex-span\"\u003e!\u0026nbsp;\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e1\u003c/sub\u003e\u0026nbsp;\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e2\u003c/sub\u003e\u0026nbsp;...\u0026nbsp;\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\" (é garantido que todos os \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e são inteiros positivos que não excedem \u003cspan class\u003d\"tex-span\"\u003e10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e\u003c/span\u003e), onde \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e é o \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e-ésimo elemento da matriz \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e. \u003c/li\u003e\u003c/ul\u003e\u003cp\u003eA resposta a uma solicitação é um único inteiro igual a \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e + \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ej\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e, impresso em uma linha separada.\u003c/p\u003e\u003cp\u003eSeu programa pode fazer no máximo \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e solicitações. Note que a última linha \"\u003cspan class\u003d\"tex-font-style-tt\"\u003e\u003cspan class\u003d\"tex-span\"\u003e!\u0026nbsp;\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e1\u003c/sub\u003e\u0026nbsp;\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e2\u003c/sub\u003e\u0026nbsp;...\u0026nbsp;\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e\u003c/span\u003e\" não é contada como uma solicitação.\u003c/p\u003e\u003cp\u003eNão se esqueça da operação \u003cspan class\u003d\"tex-font-style-tt\"\u003eflush\u003c/span\u003e após cada linha impressa.\u003c/p\u003e\u003cp\u003eDepois que seu programa imprimir a matriz adivinhada, ele deve terminar normalmente.\u003c/p\u003e"}},{"title":"Exemplos","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e5\n\u0026nbsp;\n9\n\u0026nbsp;\n7\n\u0026nbsp;\n9\n\u0026nbsp;\n11\n\u0026nbsp;\n6\n\u0026nbsp;\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e\u0026nbsp;\n? 1 5\n\u0026nbsp;\n? 2 3\n\u0026nbsp;\n? 4 1\n\u0026nbsp;\n? 5 2\n\u0026nbsp;\n? 3 4\n\u0026nbsp;\n! 4 6 1 5 5\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e"}},{"title":"Nota","value":{"format":"HTML","content":"\u003cp\u003eO formato de um teste para fazer um hack é:\u003c/p\u003e\u003cul\u003e \u003cli\u003e A primeira linha contém um número inteiro \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e3 ≤ \u003ci\u003en\u003c/i\u003e ≤ 5000\u003c/span\u003e) — o comprimento da matriz.\u003c/li\u003e\u003cli\u003e A segunda linha contém \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e números \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e1\u003c/sub\u003e, \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e2\u003c/sub\u003e, ..., \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003ea\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/sub\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e5\u003c/sup\u003e\u003c/span\u003e) — os elementos da matriz a ser adivinhada. \u003c/li\u003e\u003c/ul\u003e"}}]}