{"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\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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eThere are $$$n$$$ friends who want to give gifts for the New Year to each other. Each friend should give \u003cspan class\u003d\"tex-font-style-bf\"\u003eexactly\u003c/span\u003e one gift and receive \u003cspan class\u003d\"tex-font-style-bf\"\u003eexactly\u003c/span\u003e one gift. The friend \u003cspan class\u003d\"tex-font-style-bf\"\u003ecannot\u003c/span\u003e give the gift to himself.\u003c/p\u003e\u003cp\u003eFor each friend the value $$$f_i$$$ is known: it is either $$$f_i \u003d 0$$$ if the $$$i$$$-th friend doesn\u0027t know whom he wants to give the gift to or $$$1 \\le f_i \\le n$$$ if the $$$i$$$-th friend wants to give the gift to the friend $$$f_i$$$.\u003c/p\u003e\u003cp\u003eYou want to fill in the unknown values ($$$f_i \u003d 0$$$) in such a way that each friend gives \u003cspan class\u003d\"tex-font-style-bf\"\u003eexactly\u003c/span\u003e one gift and receives \u003cspan class\u003d\"tex-font-style-bf\"\u003eexactly\u003c/span\u003e one gift and there is \u003cspan class\u003d\"tex-font-style-bf\"\u003eno\u003c/span\u003e friend who gives the gift to himself. It is guaranteed that the initial information isn\u0027t contradictory.\u003c/p\u003e\u003cp\u003eIf there are several answers, you can print any.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line of the input contains one integer $$$n$$$ ($$$2 \\le n \\le 2 \\cdot 10^5$$$) — the number of friends.\u003c/p\u003e\u003cp\u003eThe second line of the input contains $$$n$$$ integers $$$f_1, f_2, \\dots, f_n$$$ ($$$0 \\le f_i \\le n$$$, $$$f_i \\ne i$$$, all $$$f_i \\ne 0$$$ are distinct), where $$$f_i$$$ is the either $$$f_i \u003d 0$$$ if the $$$i$$$-th friend doesn\u0027t know whom he wants to give the gift to or $$$1 \\le f_i \\le n$$$ if the $$$i$$$-th friend wants to give the gift to the friend $$$f_i$$$. It is also guaranteed that there is \u003cspan class\u003d\"tex-font-style-bf\"\u003eat least two\u003c/span\u003e values $$$f_i \u003d 0$$$.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint $$$n$$$ integers $$$nf_1, nf_2, \\dots, nf_n$$$, where $$$nf_i$$$ should be equal to $$$f_i$$$ if $$$f_i \\ne 0$$$ or the number of friend whom the $$$i$$$-th friend wants to give the gift to. All values $$$nf_i$$$ should be distinct, $$$nf_i$$$ cannot be equal to $$$i$$$. Each friend gives \u003cspan class\u003d\"tex-font-style-bf\"\u003eexactly\u003c/span\u003e one gift and receives \u003cspan class\u003d\"tex-font-style-bf\"\u003eexactly\u003c/span\u003e one gift and there is \u003cspan class\u003d\"tex-font-style-bf\"\u003eno\u003c/span\u003e friend who gives the gift to himself.\u003c/p\u003e\u003cp\u003eIf there are several answers, you can print any.\u003c/p\u003e"}},{"title":"Examples","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\n5 0 0 2 4\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5 3 1 2 4 \n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\u003e7\n7 0 0 1 4 0 6\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e7 3 2 1 4 5 6 \n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\u003e7\n7 4 0 3 0 5 1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e7 4 2 3 6 5 1 \n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\n2 1 0 0 0\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e2 1 4 5 3 \n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}