From de575f6cd6bdcccbf2525c45fd3fa940a08c9b39 Mon Sep 17 00:00:00 2001 From: xenom2004 <117723390+xenom2004@users.noreply.github.com> Date: Fri, 4 Oct 2024 02:36:29 +0530 Subject: [PATCH 1/2] New dynamic programing problem added --- ...rney Korneevich and XOR (easy version).cpp | 71 ++++++++++++++++++ Dynamic Programming/a.exe | Bin 0 -> 142592 bytes 2 files changed, 71 insertions(+) create mode 100644 Dynamic Programming/(CODEFORCES) F1. Korney Korneevich and XOR (easy version).cpp create mode 100644 Dynamic Programming/a.exe diff --git a/Dynamic Programming/(CODEFORCES) F1. Korney Korneevich and XOR (easy version).cpp b/Dynamic Programming/(CODEFORCES) F1. Korney Korneevich and XOR (easy version).cpp new file mode 100644 index 00000000..264145cc --- /dev/null +++ b/Dynamic Programming/(CODEFORCES) F1. Korney Korneevich and XOR (easy version).cpp @@ -0,0 +1,71 @@ + +#include +#include +using namespace std; +#define ll long long int + +template +T maxt(T a,T b){return (a>b)?a:b;} +template +T mint(T a,T b){return (a>n; + vectorarr(n+1);// take input 1 - indexed + for(ll i=1;i<=n;i++)cin>>arr[i]; + + vector>dp(n+1,vector(513,-1)); // dp[i][x] represent the + // minimum value of the last picked element in the subsequence formed from first i + // elements of array such that the xor of all of them equals to x. + + + for(ll i=1;i<=n;i++){ + for(ll x=0;x<=512;x++){ + + if(arr[i]>=dp[i-1][x] && dp[i-1][x]!=-1){ // if we can take the element + + if(dp[i][x^arr[i]]==-1)dp[i][x^arr[i]]=arr[i]; //checks if the value is -1, if so we just add the new number else + else dp[i][x^arr[i]]=mint(dp[i][x^arr[i]],arr[i]); // we take the minimum of the two values + + } + + + if(dp[i-1][x]!=-1){ // if we cannot take the element + + if(dp[i][x]==-1)dp[i][x]=dp[i-1][x]; // value remains same if it is -1 else + else dp[i][x]=mint(dp[i-1][x],dp[i][x]); // take the minimum of the two values + + } + + + if(dp[i][arr[i]]==-1)dp[i][arr[i]]=arr[i]; // if we are starting a new subsequence from i th position. + else dp[i][arr[i]]=mint(dp[i][arr[i]],arr[i]); // take the minimum of the two values + + } + } + setans; + ans.insert(0); // base case + + for(ll i=1;i<=n;i++){ + for(ll x=0;x<=512;x++){ + if(dp[i][x]!=-1){ + ans.insert(x); // take all possible values. + } + } + } + // output + cout<RCGczVWJ5c^MQcqBqS3O4M|KU5EN`Q zsKgMPTJ=(EZK~MoRcoU~8?9|8$Q5j~3so*wj?9*G;Q{2pe`olaS)+A_+&R7PCB8Z z4Oho$TKQKJP_J^FxEWi>BF~jbLKg*x;|4TscM8w4&mK+l!zTT3XnXXNm|RaA>JY=# zw4-lmTB9)0;R~*}QLP146`=|+-Kd$?h(tO!AQ=viriB+Y zabRgGF0>($&Kr;nhey*q3o|)``LP>$(pS%U^3y~58o55^iymAdA5r;+!vlQ_S~>0s z@>wqu;kF|g4iDirHa8P%fa(#ZTml6Y z<&60jwFfmG8Sn^WsSgj~G8eJ)Z_#Il(Dw{usSgj~mM&%Id+F07aJ`JBK0Jh5b_qN8 z(WhVFo?|Ta;UQdB20PzIpXCC#kFnH;hj7ceeK!N5H45Ad3c@mkGjmRz{ZI8knXlvD zd>w@@Uq@M5L5J6!+fkU_ef=wp-G1C1DaGW_;rtlk=<9TTKBQ@#+MVH0%8S$;BB>W? 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