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#include <bits/stdc++.h>
#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")
using namespace std;
struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};
// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);
// alias
using ll = long long;
using ld = long double;
using ull = unsigned long long;
// constants
const ld PI = 3.14159265358979323846; /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 202020;
const ll mod = 1e9 + 7;
// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef deque<ll> dqll;
typedef deque<pll> dqpll;
typedef pair<string, string> pss;
typedef vector<pss> vpss;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;
// macros
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define INF(a) memset(a,0x3f3f3f3f3f3f3f3fLL,sizeof(a))
#define ASCEND(a) iota(all(a),0)
#define sz(x) ll((x).size())
#define BIT(a,i) (a & (1ll<<i))
#define BITSHIFT(a,i,n) (((a<<i) & ((1ll<<n) - 1)) | (a>>(n-i)))
#define pyes cout<<"Yes\n";
#define pno cout<<"No\n";
#define endl "\n"
#define pneg1 cout<<"-1\n";
#define ppossible cout<<"Possible\n";
#define pimpossible cout<<"Impossible\n";
#define TC(x) cout<<"Case #"<<x<<": ";
#define X first
#define Y second
// utility functions
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n){cout<<v[i];if(i+1!=n)cout<<' ';}cout<<endl;}
template<typename T>
void printvln(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<endl;}
void fileIO(string in = "input.txt", string out = "output.txt") {freopen(in.c_str(),"r",stdin); freopen(out.c_str(),"w",stdout);}
void readf() {freopen("", "rt", stdin);}
template<typename T>
void readv(vector<T>& v){rep(i,0,sz(v)) cin>>v[i];}
template<typename T, typename U>
void readp(pair<T,U>& A) {cin>>A.first>>A.second;}
template<typename T, typename U>
void readvp(vector<pair<T,U>>& A) {rep(i,0,sz(A)) readp(A[i]); }
void readvall3(vall3& A) {rep(i,0,sz(A)) cin>>A[i][0]>>A[i][1]>>A[i][2];}
void readvall5(vall5& A) {rep(i,0,sz(A)) cin>>A[i][0]>>A[i][1]>>A[i][2]>>A[i][3]>>A[i][4];}
void readvvll(vvll& A) {rep(i,0,sz(A)) readv(A[i]);}
struct Combination {
vll fac, inv;
ll n, MOD;
ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }
Combination(ll _n, ll MOD = mod): n(_n + 1), MOD(MOD) {
inv = fac = vll(n,1);
rep(i,1,n) fac[i] = fac[i-1] * i % MOD;
inv[n - 1] = modpow(fac[n - 1], MOD - 2, MOD);
rrep(i,1,n - 2) inv[i] = inv[i + 1] * (i + 1) % MOD;
}
ll fact(ll n) {return fac[n];}
ll nCr(ll n, ll r) {
if(n < r or n < 0 or r < 0) return 0;
return fac[n] * inv[r] % MOD * inv[n-r] % MOD;
}
};
struct Matrix {
ll r,c;
vvll matrix;
Matrix(ll r, ll c, ll v = 0): r(r), c(c), matrix(vvll(r,vll(c,v))) {}
Matrix operator*(const Matrix& B) const {
Matrix res(r, B.c);
rep(i,0,r) rep(j,0,B.c) rep(k,0,B.r) {
res.matrix[i][j] = (res.matrix[i][j] + matrix[i][k] * B.matrix[k][j] % mod) % mod;
}
return res;
}
Matrix copy() {
Matrix copy(r,c);
copy.matrix = matrix;
return copy;
}
Matrix pow(ll n) {
assert(r == c);
Matrix res(r,r);
Matrix now = copy();
rep(i,0,r) res.matrix[i][i] = 1;
while(n) {
if(n & 1) res = res * now;
now = now * now;
n /= 2;
}
return res;
}
};
// geometry data structures
template <typename T>
struct Point {
T y,x;
Point(T y, T x) : y(y), x(x) {}
Point(pair<T,T> p) : y(p.first), x(p.second) {}
Point() {}
void input() {cin>>y>>x;}
friend ostream& operator<<(ostream& os, const Point<T>& p) { os<<p.y<<' '<<p.x<<'\n'; return os;}
Point<T> operator+(Point<T>& p) {return Point<T>(y + p.y, x + p.x);}
Point<T> operator-(Point<T>& p) {return Point<T>(y - p.y, x - p.x);}
Point<T> operator*(ll n) {return Point<T>(y*n,x*n); }
Point<T> operator/(ll n) {return Point<T>(y/n,x/n); }
bool operator<(const Point &other) const {if (x == other.x) return y < other.y;return x < other.x;}
Point<T> rotate(Point<T> center, ld angle) {
ld si = sin(angle * PI / 180.), co = cos(angle * PI / 180.);
ld y = this->y - center.y;
ld x = this->x - center.x;
return Point<T>(y * co - x * si + center.y, y * si + x * co + center.x);
}
ld distance(Point<T> other) {
T dy = abs(this->y - other.y);
T dx = abs(this->x - other.x);
return sqrt(dy * dy + dx * dx);
}
T norm() { return x * x + y * y; }
};
template<typename T>
struct Line {
Point<T> A, B;
Line(Point<T> A, Point<T> B) : A(A), B(B) {}
Line() {}
void input() {
A = Point<T>();
B = Point<T>();
A.input();
B.input();
}
T ccw(Point<T> &a, Point<T> &b, Point<T> &c) {
T res = a.x * b.y + b.x * c.y + c.x * a.y;
res -= (a.x * c.y + b.x * a.y + c.x * b.y);
return res;
}
bool isIntersect(Line<T> o) {
T p1p2 = ccw(A,B,o.A) * ccw(A,B,o.B);
T p3p4 = ccw(o.A,o.B,A) * ccw(o.A,o.B,B);
if (p1p2 == 0 && p3p4 == 0) {
pair<T,T> p1(A.y, A.x), p2(B.y,B.x), p3(o.A.y, o.A.x), p4(o.B.y, o.B.x);
if (p1 > p2) swap(p2, p1);
if (p3 > p4) swap(p3, p4);
return p3 <= p2 && p1 <= p4;
}
return p1p2 <= 0 && p3p4 <= 0;
}
pair<bool,Point<ld>> intersection(Line<T> o) {
if(!this->intersection(o)) return {false, {}};
ld det = 1. * (o.B.y-o.A.y)*(B.x-A.x) - 1.*(o.B.x-o.A.x)*(B.y-A.y);
ld t = ((o.B.x-o.A.x)*(A.y-o.A.y) - (o.B.y-o.A.y)*(A.x-o.A.x)) / det;
return {true, {A.y + 1. * t * (B.y - A.y), B.x + 1. * t * (B.x - A.x)}};
}
//@formula for : y = ax + b
//@return {a,b};
pair<ld, ld> formula() {
T y1 = A.y, y2 = B.y;
T x1 = A.x, x2 = B.x;
if(y1 == y2) return {1e9, 0};
if(x1 == x2) return {0, 1e9};
ld a = 1. * (y2 - y1) / (x2 - x1);
ld b = -x1 * a + y1;
return {a, b};
}
};
template<typename T>
struct Circle {
Point<T> center;
T radius;
Circle(T y, T x, T radius) : center(Point<T>(y,x)), radius(radius) {}
Circle(Point<T> center, T radius) : center(center), radius(radius) {}
Circle() {}
void input() {
center = Point<T>();
center.input();
cin>>radius;
}
bool circumference(Point<T> p) {
return (center.x - p.x) * (center.x - p.x) + (center.y - p.y) * (center.y - p.y) == radius * radius;
}
bool intersect(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
return (radius - c.radius) * (radius - c.radius) <= d and d <= (radius + c.radius) * (radius + c.radius);
}
bool include(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
return d <= radius * radius;
}
};
ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
all3 __exgcd(ll x, ll y) { if(!y) return {x,1,0}; auto [g,x1,y1] = __exgcd(y, x % y); return {g, y1, x1 - (x/y) * y1}; }
ll __lcm(ll x, ll y) { return x / __gcd(x,y) * y; }
ll modpow(ll n, ll x, ll MOD = mod) { n%=MOD; if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }
string solve(vll& A, string s, ll k) {
vs dp(k + 1);
rep(i,0,sz(s)) {
ll n = sz(dp);
ll point = A[s[i]-'a'];
rrep(j,point,k) {
if(sz(dp[j-point]) == 0) continue;
string now = dp[j-point];
now.push_back(s[i]);
if(sz(dp[j]) == 0) dp[j] = now;
else dp[j] = min(dp[j], now);
}
if(point <= k) {
if(sz(dp[point]) == 0) dp[point] = string(1,s[i]);
else dp[point] = min(dp[point], string(1,s[i]));
}
}
if(sz(dp[k])) return dp[k];
return "IMPOSSIBLE";
}
int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
cin>>tc;
rep(i,1,tc+1) {
ll n,k;
cin>>n;
vll A(n);
readv(A);
string s;
cin>>s;
cin>>k;
print(solve(A,s,k));
}
return 0;
}
#include<iostream>
#include<stdio.h>
#include<assert.h>
#include<string.h>
#include<time.h>
#include<stdlib.h>
#include<math.h>
#include<string>
#include<sstream>
#include<map>
#include<set>
#include<queue>
#include<stack>
#include<vector>
#include<algorithm>
#pragma comment(linker, "/STACK:16777216")
#define pb push_back
#define ppb pop_back
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define LL long long
#define bit __builtin_popcountll
#define sqr(x) (x) * (x)
using namespace std;
typedef pair<int, int> pii;
const double eps = 1e-9;
const double pi = acos(-1.0);
char s[1005];
int w[26];
bool dp[1005][505];
void solve() {
int k; cin >> k;
for (int i = 0; i < k; i++) {
cin >> w[i];
}
int W; cin >> s >> W;
int n = strlen(s);
for (int i = 1; i <= W; i++) {
dp[n][i] = false;
}
dp[n][0] = true;
for (int i = n - 1; i >= 0; i--) {
for (int j = 0; j < w[s[i] - 'a']; j++) {
dp[i][j] = dp[i + 1][j];
}
for (int j = w[s[i] - 'a']; j <= W; j++) {
dp[i][j] = dp[i + 1][j] | dp[i + 1][j - w[s[i] - 'a']];
}
}
if (!dp[0][W]) {
cout << "IMPOSSIBLE" << endl;
return;
}
int p = 0;
while(W > 0) {
for (char ch = 'a'; ch <= 'a' + k - 1; ch++) {
if (W < w[ch - 'a']) continue;
bool ok = false;
for (int i = p; i < n; i++) {
if (ch != s[i] || !dp[i + 1][W - w[ch - 'a']]) continue;
p = i + 1;
ok = true;
break;
}
if (ok) {
W -= w[ch - 'a'];
putchar(ch);
break;
}
}
}
puts("");
}
int main()
{
#ifndef ONLINE_JUDGE
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
#endif
int T; cin >> T;
while(T--) {
solve();
}
return 0;
}
# cook your dish here
for _ in range(int(input())):
val=list(map(int,input().split()))
val.pop(0)
thing=input()
req=int(input())
sol=[""]*501
for i in range(0,len(thing)):
th=val[(ord(thing[i])-ord('a'))]
for m in range(req - th,-1 ,-1):
if sol [m] == "":
if m != 0:
continue
thi = sol[m] + thing[i]
if sol[m + th] == "":
sol [m + th] = thi
elif thi<sol[m + th]:
sol [m + th] = thi
if sol[req] == "":
print("IMPOSSIBLE")
else:
print(sol[req])
#include<stdio.h>
#include<string.h>
void sort(char string[]);
void printPath(int value[][501],int i,int j,char string[],int protien[]);
int main(){
int protien[26];
int k,i,j,T,S,len;
char string[1001];
int dynamic[2][501];
int value[1001][501];
scanf("%d",&T);
while(T--){
for(i=0;i<501;i++){
dynamic[0][i]=0;
}
dynamic[0][0]=1;
scanf("%d",&k);
for(i=0;i<k;i++){
scanf("%d",&protien[i]); //protien content
}
for(i=0;i<501;i++){
value[0][i]=-1;
}
scanf("%s",string);
scanf("%d",&S);
sort(string);
len=strlen(string);
// DYNAMIC PROGRAMMING
for(i=1;i<=len;i++){
for(j=0;j<=S;j++){
if(protien[string[i-1]-'a']<=j){
if(dynamic[0][j-protien[string[i-1]-'a']]==1){
if(value[i-1][j]==-1){
dynamic[1][j]=1;
value[i][j]=i-1;
}
else if(string[value[i-1][j]]>=string[i-1]){
dynamic[1][j]=1;
value[i][j]=i-1;
}
else{
dynamic[1][j]=dynamic[0][j];
value[i][j]=value[i-1][j];
}
}
else{
dynamic[1][j]=dynamic[0][j];
value[i][j]=value[i-1][j];
}
}
else{
dynamic[1][j]=dynamic[0][j];
value[i][j]=value[i-1][j];
}
}
for(k=0;k<=S;k++){
dynamic[0][k]=dynamic[1][k];
}
}
//************
/*for(i=1;i<=len;i++){
for(j=0;j<=S;j++){
printf("%d ",value[i][j]);
}
printf("\n");
}*/
if(dynamic[1][S]==0){
printf("IMPOSSIBLE\n");
}
else{
printPath(value,len,S,string,protien);
printf("\n");
}
}
return 0;
}
void sort(char string[]){
int len,i,j;
char temp;
len=strlen(string);
for(i=0;i<len/2;i++){
temp=string[i];
string[i]=string[len-i-1];
string[len-i-1]=temp;
}
}
void printPath(int value[][501],int i,int j,char string[],int protien[]){
if(value[i][j]!=-1){
printf("%c",string[value[i][j]]);
printPath(value,value[i][j],j-protien[string[value[i][j]]-'a'],string,protien);
}
}
import java.util.Scanner;
public class Main {
static int[] value;
static char[] str;
static int k;
static int S;
static String[][] f;
public static void main(String[] args) {
Scanner cin = new Scanner(System.in);
for (int T = cin.nextInt(); T > 0; T--) {
k = cin.nextInt();
value = new int[k];
for (int i = 0; i < k; i++)
value[i] = cin.nextInt();
str = cin.next().toCharArray();
S = cin.nextInt();
f = new String[str.length + 1][S + 1];
f[str.length][0] = "";
for (int i = str.length - 1; i >= 0; i--) {
for (int j = 0; j <= S; j++) {
f[i][j] = f[i + 1][j];
if (value[str[i] - 'a'] <= j && f[i + 1][j - value[str[i] - 'a']] != null) {
if (f[i][j] == null || f[i][j].compareTo(str[i] + f[i + 1][j - value[str[i] - 'a']]) > 0) {
f[i][j] = str[i] + f[i + 1][j - value[str[i] - 'a']];
}
}
}
}
if (f[0][S] == null)
System.out.println("IMPOSSIBLE");
else
System.out.println(f[0][S]);
}
cin.close();
}
}
import sys
def create_meal_from_rawinput():
temp = sys.stdin.readline()
proteinsStr = temp.split()[1:]
proteins = [int(i) for i in proteinsStr]
ingredients = sys.stdin.readline().strip()
desiredProteins = int(sys.stdin.readline())
return Meal(
proteins,
ingredients,
desiredProteins
)
class Meal(object):
def __init__(self, proteins, ingredients, desiredProteins):
self.proteins = proteins
self.ingredients = ingredients
self.desiredProteins = desiredProteins
self.bestMatch = ["#" for i in xrange(desiredProteins + 1)]
self.bestMatch[desiredProteins] = ""
def displayProperties(self):
print self.proteins
print self.ingredients
print self.desiredProteins
print self.bestMatch
def findBestIngredients(self):
for i in self.ingredients:
self.iterate(i)
if self.bestMatch[0] == "#":
return "IMPOSSIBLE"
else:
return self.bestMatch[0]
def iterate(self, currentIngredient):
currentProtein = self.proteins[ord(currentIngredient) - ord('a')]
for i in xrange(self.desiredProteins + 1):
if self.bestMatch[i] != "#":
temp = i - currentProtein
if temp >= 0:
newProteinString = self.bestMatch[i] + currentIngredient
if self.bestMatch[temp] == "#" or self.bestMatch[temp] > newProteinString:
self.bestMatch[temp] = newProteinString
numberOfGuests = int(sys.stdin.readline())
for i in xrange(numberOfGuests):
meal = create_meal_from_rawinput()
print meal.findBestIngredients()
package main
import (
"bufio"
"bytes"
"fmt"
"os"
)
func main() {
reader := bufio.NewReader(os.Stdin)
tc := readNum(reader)
var buf bytes.Buffer
for tc > 0 {
tc--
line, _ := reader.ReadBytes('\n')
var pos int
var K int
pos = readInt(line, 0, &K) + 1
V := make([]int, K)
for i := 0; i < K; i++ {
pos = readInt(line, pos, &V[i]) + 1
}
L := readString(reader)
S := readNum(reader)
res := solve(K, V, L, S)
if len(res) == 0 {
res = "IMPOSSIBLE"
}
buf.WriteString(fmt.Sprintln(res))
}
fmt.Print(buf.String())
}
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 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 readString(reader *bufio.Reader) string {
s, _ := reader.ReadString('\n')
for i := 0; i < len(s); i++ {
if s[i] == '\n' || s[i] == '\r' {
return s[:i]
}
}
return s
}
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 solve(K int, V []int, L string, S int) string {
n := len(L)
dp := make([][]bool, n+1)
for i := 0; i <= n; i++ {
dp[i] = make([]bool, S+1)
}
can := make([]bool, S+1)
can[0] = true
dp[n][0] = true
for i := n - 1; i >= 0; i-- {
x := int(L[i] - 'a')
v := V[x]
for j := S - v; j >= 0; j-- {
if can[j] {
can[j+v] = true
dp[i][j+v] = true
}
}
}
if !can[S] {
return ""
}
var buf bytes.Buffer
var p int
for S > 0 && p < n {
ii := -1
for i := p; i < n; i++ {
if dp[i][S] && (ii < 0 || L[i] < L[ii]) {
ii = i
}
}
buf.WriteByte(L[ii])
S -= V[int(L[ii]-'a')]
p = ii + 1
}
return buf.String()
}
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