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#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define DEBUG(x) cout<<'>'<<#x<<':'<<x<<endl
#define REP(i,n) for(ll i=0;i<(n);i++)
#define FOR(i,a,b) for(ll i=(a);i<(b);i++)
#define FORC(i,a,b,c) for(ll i=(a);i<(b);i+=(c))
#define pb(x) push_back(x)
#define mp(x,y) make_pair(x,y)
#define ff first
#define ss second
#define dd long double
#define all(x) x.begin(),x.end()
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
ll t;
cin>>t;
while(t--)
{
ll n,m,k;
cin>>n>>m>>k;
vector<ll> g(n+1) ;
REP(i,n){
cin>>g[i+1];
}
vector<vector<pair<ll,ll>>> arr(n+1);
REP(i,m){
ll u,v,d;
cin>>u>>v>>d;
arr[u].pb(mp(i,d));
arr[v].pb(mp(i,d));
}
vector<vector<pair<ll,ll>>> dp(n+1);
dp[0].pb(mp(0,0));
for(ll i=1;i<=n;i++)
{
vector<pair<ll,ll>> temp;
temp.insert(temp.end(),all(dp[i-1]));
ll curr=0,mask=0;
set<ll> open;
for(ll j=i;j>=1;j--)
{
curr+=g[j];
mask^=1LL<<j;
for(auto & [idx,w]:arr[j]){
if(open.count(idx)){
curr+=w;
}
else
{
open.insert(idx);
}
}
if(j>1){
for(auto & [val,old_mask]:dp[j-2]){
temp.pb(mp(val+curr,mask^old_mask));
}
}
else{
temp.pb(mp(curr,mask));
}
}
sort(all(temp));
reverse(all(temp));
set<ll> sel;
ll filled =0;
for(ll j=0;j<temp.size() && filled<k ;j++)
{
if(sel.count(temp[j].ss)) continue;
dp[i].pb(temp[j]);
filled++;
sel.insert(temp[j].ss);
}
}
for(ll i=0;i<k;i++)
{
cout<<dp[n][i].ff<<" ";
}
cout<<endl;
}
return 0;
}
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define DEBUG(x) cout<<'>'<<#x<<':'<<x<<endl
#define REP(i,n) for(ll i=0;i<(n);i++)
#define FOR(i,a,b) for(ll i=(a);i<(b);i++)
#define FORC(i,a,b,c) for(ll i=(a);i<(b);i+=(c))
#define pb(x) push_back(x)
#define mp(x,y) make_pair(x,y)
#define ff first
#define ss second
#define dd long double
#define all(x) x.begin(),x.end()
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
ll t;
cin>>t;
while(t--)
{
ll n,m,k;
cin>>n>>m>>k;
vector<ll> g(n+1) ;
REP(i,n){
cin>>g[i+1];
}
vector<vector<pair<ll,ll>>> arr(n+1);
REP(i,m){
ll u,v,d;
cin>>u>>v>>d;
arr[u].pb(mp(i,d));
arr[v].pb(mp(i,d));
}
vector<vector<pair<ll,ll>>> dp(n+1);
dp[0].pb(mp(0,0));
for(ll i=1;i<=n;i++)
{
vector<pair<ll,ll>> temp;
temp.insert(temp.end(),all(dp[i-1]));
ll curr=0,mask=0;
set<ll> open;
for(ll j=i;j>=1;j--)
{
curr+=g[j];
mask^=1LL<<j;
for(auto & [idx,w]:arr[j]){
if(open.count(idx)){
curr+=w;
}
else
{
open.insert(idx);
}
}
if(j>1){
for(auto & [val,old_mask]:dp[j-2]){
temp.pb(mp(val+curr,mask^old_mask));
}
}
else{
temp.pb(mp(curr,mask));
}
}
sort(all(temp));
reverse(all(temp));
set<ll> sel;
ll filled =0;
for(ll j=0;j<temp.size() && filled<k ;j++)
{
if(sel.count(temp[j].ss)) continue;
dp[i].pb(temp[j]);
filled++;
sel.insert(temp[j].ss);
}
}
for(ll i=0;i<k;i++)
{
cout<<dp[n][i].ff<<" ";
}
cout<<endl;
}
return 0;
}
# cook your dish here
from sys import stdin
input = stdin.readline
def answer():
dp = [[] for i in range(n + 1)]
dp[0].append(0)
for i in range(1 , n + 1):
dp[i].extend(dp[i - 1])
for j in range(i , 0 , -1):
x = 0
for l in range(j , i + 1):
for r in range(l , i + 1):
x += value[l][r]
if(j == 1):
dp[i].append(x)
else:
for val in dp[j - 2]:
dp[i].append(val + x)
dp[i].sort(reverse = True)
while(len(dp[i]) > k):
dp[i].pop()
return dp[n]
for T in range(int(input())):
n , m , k = map(int,input().split())
g = list(map(int,input().split()))
value = [[0 for i in range(n + 1)] for j in range(n + 1)]
for i in range(m):
x , y , val = map(int,input().split())
value[x][y] = val
for i in range(n):
value[i + 1][i + 1] = g[i]
print(*answer())
# cook your dish here
/* package codechef; // don't place package name! */
import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
class Codechef
{
static void addCost(PriorityQueue<Long> queue,long arr[],long cost)
{
for(int i=0;i<arr.length;i++)
queue.offer(cost+arr[i]);
}
static HashMap<Integer,ArrayList<int[]>> start;
static HashMap<Integer,long[]> dp;
static long[] takeOnes(int curr,int n,int k,int interval[])
{
if(curr>n)
return new long[]{0};
long cost=0;
if(dp.containsKey(curr))
return dp.get(curr);
PriorityQueue<Long> queue=new PriorityQueue<Long>((a,b)->{
if(b>a)
return 1;
return -1;
});
//only zero
addCost(queue,takeOnes(curr+1,n,k,interval),cost);
int left=curr,right=curr;
while(right+1<=n)
{
if(start.containsKey(right))
{
for(int neigh[]:start.get(right))
if(neigh[0]>=left)
cost+=neigh[1];
}
cost+=interval[right];
addCost(queue,takeOnes(right+2,n,k,interval),cost);
right++;
}
if(start.containsKey(right))
{
for(int neigh[]:start.get(right))
if(neigh[0]>=left)
cost+=neigh[1];
}
cost+=interval[right];
addCost(queue,takeOnes(right+1,n,k,interval),cost);
int size=(queue.size()<k)?queue.size():k;
long res[]=new long[size];
int i=0;
while(size>0){
res[i++]=queue.poll();
size--;
}
dp.put(curr,res);
return res;
}
public static void main (String[] args) throws java.lang.Exception
{
// your code goes here
Scanner scan=new Scanner(System.in);
int t=scan.nextInt();
for(int r=0;r<t;r++)
{
int n=scan.nextInt();
int m=scan.nextInt();
int k=scan.nextInt();
int interval[]=new int[n+1];
start=new HashMap<Integer,ArrayList<int[]>>();
for(int i=1;i<=n;i++){
interval[i]=scan.nextInt();
}
dp=new HashMap<Integer,long[]>();
for(int i=0;i<m;i++)
{
int u=scan.nextInt();
int v=scan.nextInt();
int cost=scan.nextInt();
if(!start.containsKey(v))
start.put(v,new ArrayList<int[]>());
start.get(v).add(new int[]{u,cost});
}
long res[]=takeOnes(1,n,k,interval);
for(int i=0;i<res.length-1;i++)
System.out.print(res[i]+" ");
System.out.println(res[res.length-1]);
}
}
}
from sys import stdin
input = stdin.readline
def answer():
dp = [[] for i in range(n + 1)]
dp[0].append(0)
for i in range(1 , n + 1):
dp[i].extend(dp[i - 1])
for j in range(i , 0 , -1):
x = 0
for l in range(j , i + 1):
for r in range(l , i + 1):
x += value[l][r]
if(j == 1):
dp[i].append(x)
else:
for val in dp[j - 2]:
dp[i].append(val + x)
dp[i].sort(reverse = True)
while(len(dp[i]) > k):
dp[i].pop()
return dp[n]
for T in range(int(input())):
n , m , k = map(int,input().split())
g = list(map(int,input().split()))
value = [[0 for i in range(n + 1)] for j in range(n + 1)]
for i in range(m):
x , y , val = map(int,input().split())
value[x][y] = val
for i in range(n):
value[i + 1][i + 1] = g[i]
print(*answer())
package main
import (
"bufio"
"bytes"
"fmt"
"os"
"sort"
)
func main() {
reader := bufio.NewReader(os.Stdin)
var buf bytes.Buffer
tc := readNum(reader)
for tc > 0 {
tc--
n, m, k := readThreeNums(reader)
G := readNNums(reader, n)
L := make([][]int, m)
for i := 0; i < m; i++ {
L[i] = readNNums(reader, 3)
}
res := solve(k, G, L)
for i := 0; i < len(res); i++ {
buf.WriteString(fmt.Sprintf("%d ", res[i]))
}
buf.WriteByte('\n')
}
fmt.Print(buf.String())
}
func readInt(bytes []byte, from int, val *int) int {
i := from
sign := 1
if bytes[i] == '-' {
sign = -1
i++
}
tmp := 0
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + int(bytes[i]-'0')
i++
}
*val = tmp * sign
return i
}
func readNum(reader *bufio.Reader) (a int) {
bs, _ := reader.ReadBytes('\n')
readInt(bs, 0, &a)
return
}
func readTwoNums(reader *bufio.Reader) (a int, b int) {
res := readNNums(reader, 2)
a, b = res[0], res[1]
return
}
func readThreeNums(reader *bufio.Reader) (a int, b int, c int) {
res := readNNums(reader, 3)
a, b, c = res[0], res[1], res[2]
return
}
func readNNums(reader *bufio.Reader, n int) []int {
res := make([]int, n)
x := 0
bs, _ := reader.ReadBytes('\n')
for i := 0; i < n; i++ {
for x < len(bs) && (bs[x] < '0' || bs[x] > '9') && bs[x] != '-' {
x++
}
x = readInt(bs, x, &res[i])
}
return res
}
func readUint64(bytes []byte, from int, val *uint64) int {
i := from
var tmp uint64
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + uint64(bytes[i]-'0')
i++
}
*val = tmp
return i
}
func solve(K int, G []int, L [][]int) []int64 {
n := len(G)
cc := make([]int, n+1)
for _, l := range L {
cc[l[1]]++
}
reward := make([][]Pair, n+1)
for i := 0; i <= n; i++ {
reward[i] = make([]Pair, 0, cc[i])
}
for _, l := range L {
u, v, d := l[0], l[1], l[2]
reward[v] = append(reward[v], Pair{u, d})
}
for i := 0; i <= n; i++ {
sort.Sort(Pairs(reward[i]))
}
dp := make([][][]int64, n+1)
for i := 0; i <= n; i++ {
dp[i] = make([][]int64, n+1)
for j := 0; j <= n; j++ {
dp[i][j] = make([]int64, 0, K)
}
}
push := func(i, j int, v int64) {
dp[i][j] = append(dp[i][j], v)
}
push(0, 0, 0)
// dp[i][j] = j < i, 且x[j] = 0, x[j+1...i] 为1时的最大集合
for i := 1; i <= n; i++ {
tmp := int64(G[i-1])
for _, r := range reward[i] {
// 所有以i结尾的线段的收益
tmp += int64(r.se)
}
var p int
for j := 0; j < i; j++ {
for p < len(reward[i]) && reward[i][p].fi <= j {
tmp -= int64(reward[i][p].se)
p++
}
for _, r := range dp[i-1][j] {
push(i, j, tmp+r)
}
}
// if set i is zero, dp[i][j] = dp[i-1][j]
for j := 0; j < i; j++ {
for _, r := range dp[i-1][j] {
push(i, i, r)
}
}
sort.Sort(Int64Gt(dp[i][i]))
dp[i][i] = dp[i][i][:min(len(dp[i][i]), K)]
}
res := make([]int64, 0, K)
for j := 0; j <= n; j++ {
for _, r := range dp[n][j] {
res = append(res, r)
}
}
sort.Sort(Int64Gt(res))
return res[:min(len(res), K)]
}
type Pair struct {
fi, se int
}
type Pairs []Pair
func (ps Pairs) Len() int {
return len(ps)
}
func (ps Pairs) Less(i, j int) bool {
return ps[i].fi < ps[j].fi
}
func (ps Pairs) Swap(i, j int) {
ps[i], ps[j] = ps[j], ps[i]
}
type Int64Gt []int64
func (this Int64Gt) Len() int {
return len(this)
}
func (this Int64Gt) Less(i, j int) bool {
return this[i] > this[j]
}
func (this Int64Gt) Swap(i, j int) {
this[i], this[j] = this[j], this[i]
}
func min(a, b int) int {
if a <= b {
return a
}
return b
}
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