From bb2a683a58c1564b411fe0ba9e858adf4d684525 Mon Sep 17 00:00:00 2001 From: 0xff-dev Date: Thu, 17 Oct 2024 09:33:11 +0800 Subject: [PATCH] Add solution and test-cases for problem 1391 --- .../1.png | Bin 0 -> 20864 bytes .../README.md | 54 +++++++++ .../Solution.go | 112 +++++++++++++++++- .../Solution_test.go | 12 +- .../e1.png | Bin 0 -> 14654 bytes .../e2.png | Bin 0 -> 11298 bytes 6 files changed, 170 insertions(+), 8 deletions(-) create mode 100644 leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/1.png create mode 100644 leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/README.md create mode 100644 leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/e1.png create mode 100644 leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/e2.png diff --git a/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/1.png b/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/1.png new file mode 100644 index 0000000000000000000000000000000000000000..31d85c6d48034f253843d5cecdf51d14be0f11a7 GIT binary patch literal 20864 zcmeHvdpy)>-@mr)BV<#*pl!nZYm^Gr#M5%|wQK@BRIr`+4@hpI?7$`+^YE&h6Q4 zA|||4SV%}nY^SM_m5|V^ej%aR67#td0@2hc$Fprd9Umz3v>+vgR-!Tps21(dZ9skLPeiC;Kcffe<2--X(uIbE9$=zQ} zvpT&kK+^op?PK#*(&oe|Uw0o@s>)>c-$*~b?vve>Fr8=X(u#+aFW)z*Te#ayWR>w| z@~GaCtc;S#G1+uS@l)o#*`*OHKkn81a%I(=PJAdrpjDBp`cDf2UWt-ZA0D;}k;*0+ zHv8AyE5tZ1eZQvEGlJhkg)bKjz0&i)B?_7yheFXt$H_nA2ln)f+84HS8)G4FAj zSBpdCqM;8<>lY=h?^yOHhiGxXO!t~KZ|CtRsq@zx%sa;@jvPO7%$%jJgX z6@}%6WQc4w{l_eB{Qmk%UHh_aR<;_d^bQ3`2l6RYdz=$y}td6 znZ2e`GYmIJ zThWs8FA@hq<@(E08Ll^C31)|ShnhsJ-Jg;Z639;Sl||)5i}@a*v9u~waXFEf;qXoAiwyHYGl`xn z_LDuCvMQvooajS|wI@6AazdVEdQHhEF|0RpbF=9lQri!aDa8z8Ha!=nJ^w(jHG;B; z$G$4|zk_0bb$$N>u^`%p%DD317&}4G`!9uVKwtM(i$2@0mzA&gw<%SF|D-GJoheaR z@cRC9nERjH%ddSI-lx?dro=_T;=0%92NsL!l3jRa5$-8^cqZ}0cql{xxbsREtdL*kqxVrb-6bYgNFJ3In4{>FJp zJHzYufgQM!1{w*lN$y@U8ln=-}!4h zg=K{gEWizwUf+8piyKVhSQ{qnJ00*d2CuXBWdd&5NMZtRVKwUU05OTpNQ}$Jhw6pz zBdnnKC1f%Un1iGAp?8}31?>u)N;h@qwh^ZW4y%s*v^pR!xGroTfxP9X5;fPr;PgIk zGmK?lmUhq3JVG(D78zOVs$1B;U)j%&w6AjwoRdiRzR6|Pjd;DFv2#^${qGe%ab-3< zk*&CUBPo}CF_Ssx+T)fBlqYp^T{k3lJ5CV#)m^rJ%8>ns7{g9)WimUl}<^Qa1(9E5y-9rWp-@*XU2a;5w7{|`5V9L9rsaQuw+2T;0XNth* zXoL3Ar$7G?$f9w_39quBDvGpV4!^NgN4x%9+xZ}LFKFU~H`)H2(HRqptdsOWZM_|` zRN(5Yw9{)o9V`r*Z9`Qp{yOw42flLPe-Q`t4l|5(g|bOy_wzX}HS+z-j0ehBgOtbc zxZBvRzVJ$>JP4+DOUx5xEQD`^UZ_M`{*6d+L+B1DmlE90-rC?O{eIbS%EL{iAJ()3 zr}WI0WahUZT()jLfBZRP6~+?Y4urVIiea^!?!sGQpJ(0s;3)QzuwsjJHtC1vqODuF zMg5WDYnCqD0h-PzGuM5QgJ|L_{ki_K$nT@3SjA*j+8^=Cr5eJX=g0Qg%I`JeisrG( zSjr)Y-_ln?*SU44G1X6r@OJ-xKzY#Z`5^_C75p8)0Dn`yrq$IUM3%ony>X}fmAt|- z>lKFx!I{i9x`n+e?Y`%QgM9DzR@Ng&V?RR)zk)m}b|ecEp-wgPi*t)A0>~Q#}PJOIvIU*h0d~BeV17^za!g-5)C{dto4_Iv2 zK?U>O?=F1~ z-_fj7jr9p~h_jkCH?5@WfUyx@1>W!Ll1l#$e}=}JE)k->w#Xoz#=&6cSf;B zdDDMjElMl-L*H1RKm8cM8@ykEkI1ovyTj@C{-3AEhSK)dw4MZO@^=?E-srfolggS4 z<09uEODU~{j*!ID`uBUjlUlU`AA{Kgc2CUo*5?Rwx@7b@TR0`!56t|?766gJv!}Wg z(^b2w6uLOd96GNeU&d1@Yb@KF?T0yXslPlCpd)yp_?qE`U00&_MsQ@<)oNI*Hs?*S z31oi`i$!G(ShHAVxAnWu|KCj!Mse-gCsox;05pWJeLB+BA=NJ1=aYM#S-m+OmJYD+ zF0Q)>(FOmfL^Ls(P)^jQ8{$L=`)fon0*v7(2QdOz=NjlQ(NB^~V1-}N_dB5I7R^PP zw{RezS7TkWYWE9QzRK4o&(#+dubd-=y;(7E`}I#mFOkF=T;u-}6fF?YpXmIwJ|lQ<{-AU}yk+Yih}m;P&9#lO5r!ZcD-K zwQuLDVcBA=IWz1IzO`ogiabP)pXn{~&?i^|KaXHolSl&R;A<1o(p*+w)e8p7c|nKZ zE$8J62F@bT7JP2V6Ig=8?+nw>_iSe+ha`(zHDA=iXNm%M7sLjU^$&|&4Lb^r#mIAXy4(;WRbl8VBJCutK2bm%y{&*NddHUTgtx?G`4KfW31 zLjG_)+*6(YB<2I6)Hc-9F8h7`*Th_&zFwUB2e6*B1#dm^EU?~yd-e?Lg&2lrjNP(? z^tGnE2J|V_Uz)z2rh6w?PcD$Ro@AS_Wkbc|8O}R*cS+g2&+BcyWk>Gy+iX1p|H{sl zzszd<4XT4h<9+(zcM5B|>o9<4{Mdvra-nmF5xKY7Wj{P@y30Xd|3%_65O-8TMYm0{ zjYpfbn24oid5R!yidVuk-EYyoe7w}4%=T%m)zw=NZss@83i!%%1V9754==4pXlrZC zg0uxT4g{O1koTx!f)F|J@@{|^65my^WbY>gM-8nsNTGPyGVhR@M| z@O!ZO(OHPZ$0ZqVGmxUR2>s+PIDAF(=()o7@Jj1t0z7ICKK@3rEyw@_aY{DR?n)@& zsi2VOr8}BF`t#W~9+v?F!?KwD`RirFgA_Htmvu88u|<^l zOJ+9%T-IPthjmaocD9Nv;Rmp`L}@c=UC>MCE16e6Y^%{munH44nmPOBeWVXhibkKd z>m5yuL_-T?#zq3KwQrMHZ<<%zjN{LdybODX?V`}C@RSWvq`=vEn}i$F23uzwABOf! 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Check if There is a Valid Path in a Grid][title] + +## Description +You are given an `m x n` `grid`. Each cell of `grid` represents a street. The street of `grid[i][j]` can be: + +- `1` which means a street connecting the left cell and the right cell. +- `2` which means a street connecting the upper cell and the lower cell. +- `3` which means a street connecting the left cell and the lower cell. +- `4` which means a street connecting the right cell and the lower cell. +- `5` which means a street connecting the left cell and the upper cell. +- `6` which means a street connecting the right cell and the upper cell. + +![1](./1.png) + +You will initially start at the street of the upper-left cell `(0, 0)`. A valid path in the grid is a path that starts from the upper left cell `(0, 0)` and ends at the bottom-right cell `(m - 1, n - 1)`. **The path should only follow the streets**. + +**Notice** that you are **not allowed** to change any street. + +Return `true` if there is a valid path in the grid or `false` otherwise. + +**Example 1:** + +![e1](./e1.png) + +``` +Input: grid = [[2,4,3],[6,5,2]] +Output: true +Explanation: As shown you can start at cell (0, 0) and visit all the cells of the grid to reach (m - 1, n - 1). +``` + +**Example 2:** + +![e2](./e1.png) + +``` +Input: grid = [[1,2,1],[1,2,1]] +Output: false +Explanation: As shown you the street at cell (0, 0) is not connected with any street of any other cell and you will get stuck at cell (0, 0) +``` + +**Example 3:** + +``` +Input: grid = [[1,1,2]] +Output: false +Explanation: You will get stuck at cell (0, 1) and you cannot reach cell (0, 2). +``` + +## 结语 + +如果你同我一样热爱数据结构、算法、LeetCode，可以关注我 GitHub 上的 LeetCode 题解：[awesome-golang-algorithm][me] + +[title]: https://leetcode.com/problems/check-if-there-is-a-valid-path-in-a-grid +[me]: https://github.com/kylesliu/awesome-golang-algorithm diff --git a/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution.go b/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution.go index d115ccf5e..4393a4a5c 100755 --- a/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution.go +++ b/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution.go @@ -1,5 +1,113 @@ package Solution -func Solution(x bool) bool { - return x +var dirFn = [6]func(int, int, [][]int) [][2]int{ + func(x, y int, grid [][]int) [][2]int { + m, n := len(grid), len(grid[0]) + res := make([][2]int, 0) + + nx, ny := x, y-1 + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 1 || grid[nx][ny] == 4 || grid[nx][ny] == 6) { + res = append(res, [2]int{nx, ny}) + } + nx, ny = x, y+1 + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 1 || grid[nx][ny] == 3 || grid[nx][ny] == 5) { + res = append(res, [2]int{nx, ny}) + } + return res + }, + func(x, y int, grid [][]int) [][2]int { + m, n := len(grid), len(grid[0]) + res := make([][2]int, 0) + + nx, ny := x-1, y + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 2 || grid[nx][ny] == 3 || grid[nx][ny] == 4) { + res = append(res, [2]int{nx, ny}) + } + nx, ny = x+1, y + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 2 || grid[nx][ny] == 5 || grid[nx][ny] == 6) { + res = append(res, [2]int{nx, ny}) + } + return res + }, + func(x, y int, grid [][]int) [][2]int { + m, n := len(grid), len(grid[0]) + res := make([][2]int, 0) + + nx, ny := x, y-1 + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 1 || grid[nx][ny] == 4 || grid[nx][ny] == 6) { + res = append(res, [2]int{nx, ny}) + } + nx, ny = x+1, y + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 2 || grid[nx][ny] == 5 || grid[nx][ny] == 6) { + res = append(res, [2]int{nx, ny}) + } + return res + }, + func(x, y int, grid [][]int) [][2]int { + m, n := len(grid), len(grid[0]) + res := make([][2]int, 0) + + nx, ny := x, y+1 + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 1 || grid[nx][ny] == 3 || grid[nx][ny] == 5) { + res = append(res, [2]int{nx, ny}) + } + nx, ny = x+1, y + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 2 || grid[nx][ny] == 5 || grid[nx][ny] == 6) { + res = append(res, [2]int{nx, ny}) + } + return res + }, + func(x, y int, grid [][]int) [][2]int { + m, n := len(grid), len(grid[0]) + res := make([][2]int, 0) + + nx, ny := x, y-1 + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 1 || grid[nx][ny] == 4 || grid[nx][ny] == 6) { + res = append(res, [2]int{nx, ny}) + } + nx, ny = x-1, y + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 2 || grid[nx][ny] == 3 || grid[nx][ny] == 4) { + res = append(res, [2]int{nx, ny}) + } + return res + }, + func(x, y int, grid [][]int) [][2]int { + m, n := len(grid), len(grid[0]) + res := make([][2]int, 0) + + nx, ny := x, y+1 + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 1 || grid[nx][ny] == 3 || grid[nx][ny] == 5) { + res = append(res, [2]int{nx, ny}) + } + nx, ny = x-1, y + if !(nx < 0 || nx >= m || ny < 0 || ny >= n) && (grid[nx][ny] == 2 || grid[nx][ny] == 3 || grid[nx][ny] == 4) { + res = append(res, [2]int{nx, ny}) + } + return res + }, +} + +func Solution(grid [][]int) bool { + m, n := len(grid)-1, len(grid[0])-1 + q := [][2]int{{0, 0}} + v := make(map[[2]int]struct{}) + v[[2]int{0, 0}] = struct{}{} + for len(q) > 0 { + nq := make([][2]int, 0) + for _, pos := range q { + x, y := pos[0], pos[1] + if x == m && y == n { + return true + } + for _, next := range dirFn[grid[x][y]-1](x, y, grid) { + if _, ok := v[next]; ok { + continue + } + nq = append(nq, next) + v[next] = struct{}{} + } + } + q = nq + } + return false } diff --git a/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution_test.go b/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution_test.go index 14ff50eb4..cc517444d 100755 --- a/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution_test.go +++ b/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/Solution_test.go @@ -10,12 +10,12 @@ func TestSolution(t *testing.T) { // 测试用例 cases := []struct { name string - inputs bool + inputs [][]int expect bool }{ - {"TestCase", true, true}, - {"TestCase", true, true}, - {"TestCase", false, false}, + {"TestCase1", [][]int{{2, 4, 3}, {6, 5, 2}}, true}, + {"TestCase2", [][]int{{1, 2, 1}, {1, 2, 1}}, false}, + {"TestCase3", [][]int{{1, 1, 2}}, false}, } // 开始测试 @@ -30,10 +30,10 @@ func TestSolution(t *testing.T) { } } -// 压力测试 +// 压力测试 func BenchmarkSolution(b *testing.B) { } -// 使用案列 +// 使用案列 func ExampleSolution() { } diff --git a/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/e1.png b/leetcode/1301-1400/1391.Check-if-There-is-a-Valid-Path-in-a-Grid/e1.png new file mode 100644 index 0000000000000000000000000000000000000000..014fbcba1f2e57a7278ba2b20b4a7e16a79714fc GIT binary patch literal 14654 zcmeHOdpy)>+t*=MnMHD#*^F$56*3Nqrj#ib+a?hmmQZ6i%H$AXg(=Hm4EBB7EyXUA zEq2?|EK89l%&>>DbTX1KvuP?}GBGiD@85448guH|_j&g7yzkQ=`{`rnK3w;8U-$R= zUWZ?Xr-z%S#sUpBH8stRAAPu0O>O2qfhZ}t20-oL5aQx3pKlyuQ zt@pm$b^B(?x6eoMZchHCzqsH0rEqoKP!(2f-yXG^BOYTp6I7c9^s2nZz2M(xJ@og2 zsFBs56C2P$_rn(EfuAb>c|Y|fH};USY#P|8*u>2*=(H1H`8-Zl=}CC={)mp&>p`{+ zXm0GKzED^azQe9zyFoUPOlWjr^pxMiya`dkM4Nf}nTd}1H_R%Um#!?%{f79SVPxe#A+UYLld*MPNnqdl^w&@HwG}1e@*J%l=<}P-i3L`N??A>hU9}w=6kdH_mo}S2t%s0%K8?>I5eO*>SY_)xpHR5 zYB*rHg~CONA#AFgpYiK@_lxG@+q9YQ^r7(QbCB)xV62x0v`6Hz+XIU#>xT^7MQGya zCE>|LPxcXc%h~k)iF0h%zD7p5i-`HG0%rd+Z>M27C^&ZMVivv|Ip&jJmz=Sv>0v0p z{;BbZ*wILDuAZuykX5>(hyF4&zX`=bvDdDY2k2Yoc94$t+b}O%^P7&tEGrS7ADTOsA?E`3g!tsYz$KUYS=(fDXY1oz9cg$u z*9Toe*+RF77^F!<`YfJlV(pm zmphTMXC#&Os5woska&&r#qN>Ow*jk8>#1#T0Csh zod?pIPs(1x)rj9ZQyC+6cN1r>39yF7Z`qlMAODsU+rB8;M2-z?r@2J_Hq7lGn|lsF z!^kRE=-%5M`eU^&X(RvEvw3TDWzmxe9tG}U9=~xs<&JUkS(JOiikRmJgAOvjNccEr z&NuQ5cUy>8{__Ju+rXd>b;2y9NyW9}53Ccl$H|;xrE+zJCmeM#&OBg|%SKek*9$a- zvnT~&l9Nl5Sie*QmRaW!`~dm!AB{-{?!Bos*xXC%BxnB9#I@xgC_4L&q7lQhmDi3N zxD(T!feAB6>s3xj&d9n*N9Z~b(vT(>To18IhxyIN!)c{gY4SKCGL#@YuI>h(}b^=^U#F}#*} zm0gUk(L1AJeH{u|U&mpWHQj0mtiR^=Hs$NPn3}t;Vws@adovS({91=ptdB4U>+9u# z_3bLmT}z$)Rp{p^1!-artxwE4PicATxkH8i3s0jvP@`aZhnVHAR!&|jmnTFA_D0n* z``G8vHFI2)OTWu?wM~^>Mb&OXZ0~kzK+0)KU_Y0Jm4mVX^RGrQcREl=jSJZ%$FZMx%Cy4p^-D}$D;u_>+^I9Ow<^&L3zZ$0 zU$@9I7mdK2QL$!Rx2J~bN)6n{%2Wr0HO^QPl3_qvnyu_fKpV&Q4h_-^&eON4SkQ=G zpGg1X*~N7##`#}7SCBRqeiUn#RFjidAR7}7ih=PV+NvM@fo_8%zXlx$-mbZ zywvr0WJ_0P&0V|j-h8m-k+m5qa39YdyjPi6uB^m$H&g03g<{Cn)vNN@M zZlXTOU4Kt z#%MV%7ID@q%eydEF8ko4UR7le0Af+}@7Jw%%@H)sQ!D2oABD>pLdwHtN0YEYR8+B*r%$?1EJWNg`KKhqU%=Gl3p9pr|0(J!a z(PK!%M-LYDp{gDKk4(J4+e-g0a0}pkfRZ;=QV+s*lQjt>Q#r})G|0r4SNRbC208#h#{mt#4$AyIIAV&c6e_8QiCgqJqIgnuh?<6KxQ!F3$T9G@Vzi0mf4AsSg zr#qtisC_;b-bw7{rgE}?AOYx^u9Xjb;X{iV)l`fjcDVj64>$FmcIFXvkiLNN=?puQ zDEZ*=-b5TZix$5-(}L*9F+SIwKZ#*di{vvCNVp!dm9W%Mh4GmB|i6kU;y07~b4 z1<4H|A4?VTefE|2lm=0l=ozU@2yFkc19FnTuq^x%wnmi18mGmLu#1M=*>NuqdZrew z%*7%^-*;C;GeYmLoDiv1b;JpNFH`p|m0A&7HRO1GU01U#*Q7KV&$&M4ymw0+Z>GjyxI-2~-GBWe*q2yNzCEe5cLn@dA#MR)Gy!Gg6bul-y!=vEA<}f| z+e-w{1OQ{ow&mUYbfg5JA!XFIpoBB|5~i}=2lRcx6Ng~&b^BQ59Hj(ArZ2q=Jh>?o zR4NF|3|bls;71(3O-JDA$JAW|G6~K+_i42&F-{&2@tS%@dd2tOg-TK4upU&yY#LVc zI};``tG(tuC@UdZOHww2t9c?Vn6(B`ZIaU9G!v-3G3w#W4?2k2*l1^U4qkcx-hhgE;2p_}sv$un4^pAv(phLY zg(kr_B)~TqNxU!+U4?6M0I%icM&NV20*%+t4WS@hP?PBC?RIaK2~7TtO$GALz~;QK zLzz}@$a6qE5c0fAEfaQnz~)#)kVMBle2tO-(g(jt`Ih+?w##ZRfIS(dEsVA)^0zVQ zPi5k%7!TpMlO)r(F9q&^GSyh3AlT4D%GmI1md1p7M!Wf>ZoLkr@CPNN_TPA6xcCF;4aDlr_5#PidI{(i%x)B(@(t%eWEtuSnDkZR450c8HiQG zxfQsBK?=7)h767YDQ!@7<0mM=2AR5*GFyUZAdrkwv(_+v>vgDla;#>iJ{(#f7Dq#{ zoj?p3Zat9L6_h~+@$fd{quS;#2^FAKBL6Xz?u2M`6CAz(!m0=7a^Q{ziH*TT7v$~; 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