From a6b4bd07d80165d78a9153d36fe5519e1496a8ad Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Wed, 28 Oct 2026 22:51:11 +0800 Subject: [PATCH] =?UTF-8?q?Update=2010.1=20=E6=96=90=E6=B3=A2=E9=82=A3?= =?UTF-8?q?=E5=A5=91=E6=95=B0=E5=88=97.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 重新绘制配图。 --- notes/10.1 斐波那契数列.md | 4 ++-- notes/pics/fib-formula.png | Bin 0 -> 48119 bytes notes/pics/fib-recursion-tree.png | Bin 0 -> 92609 bytes 3 files changed, 2 insertions(+), 2 deletions(-) create mode 100644 notes/pics/fib-formula.png create mode 100644 notes/pics/fib-recursion-tree.png diff --git a/notes/10.1 斐波那契数列.md b/notes/10.1 斐波那契数列.md index 21101ff0..57389b04 100644 --- a/notes/10.1 斐波那契数列.md +++ b/notes/10.1 斐波那契数列.md @@ -8,13 +8,13 @@ 写一个函数,输入 n ,求斐波那契(Fibonacci)数列的第 n 项。答案需要取模 1e9+7(1000000007)。 -

+

## 解题思路 如果使用递归求解,会重复计算一些子问题。例如,计算 f(4) 需要计算 f(3) 和 f(2),计算 f(3) 需要计算 f(2) 和 f(1),可以看到 f(2) 被重复计算了。 -

+

递归是将一个问题划分成多个子问题求解,动态规划也是如此,但是动态规划会把子问题的解缓存起来,从而避免重复求解子问题。 diff --git a/notes/pics/fib-formula.png b/notes/pics/fib-formula.png new file mode 100644 index 0000000000000000000000000000000000000000..b3ac6bd87b431443de30aa78eb502c871cb75e6f GIT binary patch literal 48119 zcmZs@1ys~~^et|H($d}C4AL#q3P^Vi4NA8XN(?=y^ia|;2vX7^3?(Q?gMf5{bV$C> z+~4}gd+WLGUEalFX1;Si=X1_Jd+&3jwKP@maj0?b+_{6VrmCoO=gxiAJ9qAOV%-Bj zF%b-=0e=yBD;aqkLcQ%gU7(&X?)Go`L)x!q3`mtGPZ+WC zhD$285k;lQt)`0YrbYL(sHncPprNBsMn+~7gj9(M22E3E!n!w8hmU%D;zipltf4Ww zU$HFSR8cc$L&<(J41V5R#QBVql$cyYUtdW(l<_T}u0Hr<@kP1kENIe)Oi5c`U)qKe zR+@01Xmr-p|Co0Kp$T+%cls+qcoaUqRFJ`>${pSZ3h zhK{_=Cw;O~BcNMxE;IWp?^E4rdwtAN5O)XTltL#&!@$A})O4Vp9tGKaN;c6C!5cb~ z9y$t|KMNut)gF!5UiiUO@eQ{Va?;^J`^rGcmO!74^RYa!LEEsNes^TL@}FN9ZC^NX zGTkf)VWoWfv!a}h3i8;OBxBy#Ec0jGWJI?E5cRn_wd{2!Os4r~O%*mg+v4zs<+P&5 zuT$&-vWt<(y-WA50Aotn7D?4nkmb&MVGWWwV)bQ8krmSjArAg`dzTG_72A2u5vj4z zk9E!Z`lG@h@}F$LCksknF%otBQ_jnr42NzlO-1Wi?>Mgh5>wfs7Rr44_U@Gg@<;ST z`L~_BTAbmN@a0OIUWm^T&B|ajPl-!LF}OI)6s=^a)Nhg9M&#eI>28I&lE8>cHVs?d6owfNYL0?RlJa zE;Ds>@ygMCbuI(d{<)MzzH6GJ!oq5Oc^Z19!JTk(RCHQYD19yg)jR+Aztw)gLaF)rMbf|b7br8((Sd$n8_6Fp*_LN;pBp`{=iNd>!mrb+o^ zg)<5ZM&OAIRH7_u^W?x2ac|%!#gR9TVR|yAv zGjSoFM8r0bAel98LFLCNU%e}B_p*lF@(g;r}Bgm)LlZ76+rIL8&$c?XCu z^|U|pNlUCyFFmAEVkYth7bZ7ORkv@;yYiJ_8(n`C4>z~?vtCG7=@hBoj+Q3JlDoBa z#;07Ko5qmf zja-xJ+Fkh*3~qjHPo2w-iTNa1v$3s7Hv#z@^JzUq(RU4E^b4MAf?&5fR8l*p%6dy(mo=)EqcZBn;P^@on0=4vHRW2`VPOy#&~Xf zD(5@KJz+75lj9JrMj~M-=qU)|_m+_+?s+8%b0sCrp*MDvOHp)%38(CmEsz^r?yfwx zd&!;BRB<2#v!YYnt&%&QWJ=f(Pj|)z(K*w7R@#~QJ(&$rlv~E|(=x?QzA(`+4w@F% z;bT5f-PM2c|1YOoXB$4+X^>}2)#NfQL6& z3-OMg=f|m!Dtc!A&!>MH*4Nz6MT8p`m9~J0xXh#oyaNqJ9R>}5%A`%!HP8+5froND z)BW_m0-^U{R9suX>LxSaYN{$E!fZ(~Vul1f*>r&~y5o@WjP zl4(}FufI=?*^FSgj(N}8dbE(k^o$}uA>!5N&jMJ(Bt*7$y>RFjp8fMrOy7OXHAcf{ zC6^QqiHdT?>YFM+m!H=A*y+FD8Szx3fAxzE;t1LxMh$60nJLnq2zFI^n zzeP3Pp~!m6LERBvh#SgC9iJDKmSG64FCGyIr5NS6wDQkW^D#zrJa-^FQ-Vp=Kd&lv z36qF^pLJG+xlyoS;EziVetV3kke*!h*5cFNrDuK_;g5RW*enU~2{4_IDR4#e?%tcx z)fjy>1H+Cz*jl-;MiZD0hi(@jg?YJnY7A7ZcTYYMn5LEw|1yL^ta+FmgePF z<&-bSR-@j2-{_DE2bD&C$9~m?@3g7T1}1LZt0kE

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