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# Bytelandian Robots CodeChef Solution

## Bytelandian Robots CodeChef Solution in C++17

``````#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 = 7051954;

// 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; }

ll dp[555][555];

ll solve(string s, ll l, ll a, ll b) {
ll p = count(all(s),'+'), m = sz(s) - p;
if(b - a > p or a - b > m) return 0;
ZERO(dp);
ll n = sz(s);
rep(i,0,n + 1) dp[i][m] = 1;
rep(i,1,n + 1) {
rep(j,0,n + 1) {
if(a + j - m < 0 or a + j - m > l) dp[i][j] = 0;
else {
ll now = i - 1;
while(now >= 0 and s[now] != '+') now -= 1;
if(now >= 0 and j - 1 >= 0) dp[i][j] = (dp[i][j] + dp[now][j-1]) % mod;
now = i - 1;
while(now >= 0 and s[now] != '-') now -= 1;
if(now >= 0 and j + 1 <= n) dp[i][j] = (dp[i][j] + dp[now][j+1]) % mod;
}
}
}
return dp[n][b-a+m];
}

int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
cin>>tc;
rep(i,1,tc+1) {
ll n,l,a,b;
cin>>n>>l>>a>>b;
string s;
cin>>s;
print(solve(s,l,a,b));
}
return 0;
}``````

## Bytelandian Robots CodeChef Solution in C++14

``````#include <bits/stdc++.h>
using namespace std;

static const int MODULO = 1000000007;
typedef long long int long64;

class IInputReader
{
public:
virtual void Get(vector<long64> &vec, int count) = 0;
virtual istream* Get() = 0;
};

class ConsoleReader : public IInputReader
{
public:
void Get(vector<long64> &vec, int count);
virtual istream* Get();
};

void ConsoleReader::Get(vector<long64>& vec, int count)
{
vec.clear();
for(auto i = 0; i < count; ++i)
{
long64 val;
cin >> val;
vec.push_back(val);
}
};

istream* ConsoleReader::Get()
{
return &cin;
}

static long64 FastPow(long64 a, int b, int mod)
{
long64 res = 1;
while (b != 0)
{
if ((b & 1) == 1)
{
res = (res * a) % mod;
}
a = (a * a) % mod;
b >>= 1;
}

return res;
}

static long64 ModularMultiplicativeInverse(long64 a, int mod)
{
return FastPow(a, mod - 2, mod);
}

static long64 CnK(int n, int k, int mod, long64* f)
{
if (k > n)
{
return 0;
}

return (f[n] * ModularMultiplicativeInverse((f[k] * f[n - k]) % mod, mod)) % mod;
}

static long64 GreatestCommonDivisor(long64 a, long64 b)
{
if (a == 0)
{
return b;
}
return GreatestCommonDivisor(b % a, a);
}

static vector<long64> SieveOfEratosthenes(int n)
{
vector<long64> res;
vector<bool> prime(n + 1, true);

for (int p = 2; p * p <= n; p++)
{
if (prime[p])
{
for (int i = p * p; i <= n; i += p)
{
prime[i] = false;
}
}
}

for (int i = 2; i <= n; i++)
{
if (prime[i])
{
res.push_back(i);
}
}

return res;
}

int main() {

auto readerPtr = make_unique<ConsoleReader>();
auto& reader = *(readerPtr.get());
auto& in_stream = *(reader.Get());

int tests;
in_stream >> tests;

for (auto t = 0; t < tests; t++)
{
int n, l, a, b;
in_stream >> n >> l >> a >> b;
string s;
in_stream >> s;

int p = 0;
int m = 0;

for (const auto& c : s)
{
if (c == '+')
{
p++;
}
else
{
m++;
}
}

if (b - a > 0 && b - a > p)
{
cout << 0 << endl;
continue;
}

if (a - b > 0 && a - b > m)
{
cout << 0 << endl;
continue;
}

constexpr int mod = 7051954;
vector<vector<long64>> dp(n + 1, vector<long64>(m + p + 1, 0));

for (auto i = 0; i <= n; i++)
{
dp[i][m] = 1;
}

for (auto i = 1; i <= n; i++)
{
for (auto j = 0; j <= m + p; j++)
{
if (a + j - m < 0 || a + j - m > l)
{
dp[i][j] = 0;
continue;
}

int curr = i - 1;
while (curr >= 0 && s[curr] != '+')
{
curr--;
}

if (curr >= 0 && j - 1 >= 0)
{
dp[i][j] += dp[curr][j - 1];
dp[i][j] %= mod;
}

curr = i - 1;
while (curr >= 0 && s[curr] != '-')
{
curr--;
}

if (curr >= 0 && j + 1 <= m + p)
{
dp[i][j] += dp[curr][j + 1];
dp[i][j] %= mod;
}
}
}

cout << dp[n][b - a + m] << endl;
}

readerPtr.release();
return 0;
}``````

## Bytelandian Robots CodeChef Solution in C

``````#include <stdio.h>
#include <string.h>
#define siz 500

int x[siz+1][1001], y[siz+1];
char z[siz+1];

int main()
{
int fall, n, l, a, b, c, i, j, k, s, q, r;
for(scanf("%d",&fall); fall--;)
{
if(scanf("%d %d %d %d %s",&n,&l,&a,&b,z)&&(a-b>siz||b-a>siz))
{
puts("0");
continue;
}
for(i=-!!(c=strlen(z)); ++i<c; y[i+1]=(z[i]=='+')?1:-1);
q=(a<siz)?(siz-a):0;
r=(l-a<siz)?(siz+l-a):1000;
for(i=x[0][siz]=1; i<=n; i++)
for(j=0; j<i; j++)
{
for(k=j+1; k<i; k++)
if(y[k]==((y[i]==1)?1:-1))
break;
if(k!=i)
continue;
for(k=q-(y[i]==1); ++k<=r-(y[i]==1); x[i][k+((y[i]==1)?1:-1)]+=x[j][k]%7051954);
}
for(i=s=0; i<=n; s=(s+x[i++][b-a+siz])%7051954);
for(printf("%d\n",s+(i=0)); i<=n; i++)
for(j=0; j<1001; x[i][j++]=0);
}
return 0;
}``````

## Bytelandian Robots CodeChef Solution in JAVA

``````import java.util.*;

public class Main
{
static Scanner sc = new Scanner(System.in);

public static void main(String[] args)
{
int T = sc.nextInt();
while(T-->0)
{
solveCase();
}
}

private static void solveCase()
{
n = sc.nextInt(); L = sc.nextInt();
a = sc.nextInt(); b = sc.nextInt();
String mcq = sc.next();

nextPlus = new int[n];
nextMinus = new int[n];
int plus = -1, minus = -1;
for(int i=n-1;i>=0;i--)
{
if(mcq.charAt(i)=='+')
plus = i;
else
minus = i;
nextPlus[i] = plus;
nextMinus[i] = minus;
}
//A.apr(nextPlus);
//A.apr(nextMinus);

for(int i=0;i<n;i++)
for(int j=0;j<=2*n;j++)
memo[i][j] = -1;
System.out.println(solve(0,0));
}
static final int MAX = 500, MOD = 7051954;
static int n, L, a, b;
static int[][] memo = new int[MAX][2*MAX+1];
static int[] nextPlus, nextMinus;
static int solve(int index, int disp)
{
if(index>=n)
return a+disp==b ? 1 : 0;
if(a+disp<0 || a+disp>L)
return 0;
if(memo[index][disp+n]==-1)
{
int res = 0;
if(a+disp==b)
res++;
if(nextPlus[index]!=-1)
res += solve(nextPlus[index]+1, disp+1);
if(nextMinus[index]!=-1)
res += solve(nextMinus[index]+1, disp-1);
res %= MOD;
//A.spr(index+":"+disp+"->"+res);
memo[index][disp+n] = res;
}
return memo[index][disp+n];
}
}``````

## Bytelandian Robots CodeChef Solution in C#

``````using System;
class Program {
const int M = 7051954;
static void Main(string[] args) {
int n = Int32.Parse(Console.ReadLine());
for (int i = 0; i < n; i++) {
string[] sdt = Console.ReadLine().Split(' ');
int N = Int32.Parse(sdt[0]), L = Int32.Parse(sdt[1]),
A = Int32.Parse(sdt[2]), B = Int32.Parse(sdt[3]);

string mcs = Console.ReadLine();
if (A > N) {
int d = A-N;
A -= d;
B -= d;
L -= d;
}
if (B-A > N || A-B > N) {
Console.WriteLine(0);
continue;
}

int[][] ct = new int[1001][];
int[][] ct2 = new int[1001][];
for (int j = 0; j < 1001; j++) {
ct[j] = new int[4];
ct2[j] = new int[4];
}
ct[A][0] = 1;
int min = A, max = A;
for (int j = 0; j < N; j++) {
if (mcs[j] == '-') {
if (min > 0) min--;
for (int k = min; k < max; k++) {
ct2[k][0] = (ct[k+1][0]+ct[k+1][1])%M;
ct2[k][1] = 0;
ct2[k][2] = (ct[k][2]+ct[k][0])%M;
ct2[k][3] = (ct[k][3]+ct[k][1])%M;
}
ct2[max][0] = 0;
ct2[max][1] = 0;
ct2[max][2] = (ct[max][2]+ct[max][0])%M;
ct2[max][3] = (ct[max][3]+ct[max][1])%M;
} else {
if (max < L) max++;
for (int k = min+1; k <= max; k++) {
ct2[k][0] = (ct[k-1][0]+ct[k-1][2])%M;
ct2[k][1] = (ct[k][1]+ct[k][0])%M;
ct2[k][2] = 0;
ct2[k][3] = (ct[k][3]+ct[k][2])%M;
}
ct2[min][0] = 0;
ct2[min][1] = (ct[min][1]+ct[min][0])%M;
ct2[min][2] = 0;
ct2[min][3] = (ct[min][3]+ct[min][2])%M;
}
int[][] swp = ct;
ct = ct2;
ct2 = swp;
}
Console.WriteLine((ct[B][0]+ct[B][1]+ct[B][2]+ct[B][3])%M);
}
}
}
``````

## Bytelandian Robots CodeChef Solution in GO

``````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--
first := readNNums(reader, 4)
second := readString(reader)
res := solve(first[0], first[1], first[2], first[3], second)
buf.WriteString(fmt.Sprintln(fmt.Sprintf("%d", 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
}

const MOD = 7051954

const MAX_D = 502

func modAdd(a, b int) int {
a += b
if a >= MOD {
a -= MOD
}
return a
}

func solve(N, L, A, B int, mcq string) int {
var left, right int
for i := 0; i < N; i++ {
if mcq[i] == '+' {
right++
} else {
left--
}
}

right = min(L-A, right)
left = max(-A, left)
if B-A > right || B-A < left {
return 0
}

size := right - left + 1
dp := make([][]int, size)
for i := 0; i < size; i++ {
dp[i] = make([]int, N+1)
}
dp[-left][0] = 1

plus := NewQueue(N)
minus := NewQueue(N)

plus.Push(0)
minus.Push(0)

for i := 1; i <= N; i++ {
if mcq[i-1] == '+' {
for plus.Size() > 0 {
j := plus.Pop()
for k := 0; k < size-1; k++ {
dp[k+1][i] = modAdd(dp[k+1][i], dp[k][j])
}
}
} else {
for minus.Size() > 0 {
j := minus.Pop()
for k := 1; k < size; k++ {
dp[k-1][i] = modAdd(dp[k-1][i], dp[k][j])
}
}
}
plus.Push(i)
minus.Push(i)
}

var ans int

for i := 0; i <= N; i++ {
ans = modAdd(ans, dp[B-A-left][i])
}
return ans
}

type Queue struct {
arr []int
pos int
}

func NewQueue(n int) *Queue {
q := new(Queue)
q.arr = make([]int, n)
q.pos = 0
return q
}

func (q Queue) Size() int {
return q.pos
}

func (q *Queue) Pop() int {
res := q.arr[q.pos-1]
q.pos--
return res
}

func (q *Queue) Push(v int) {
q.arr[q.pos] = v
q.pos++
}

func min(a, b int) int {
if a <= b {
return a
}
return b
}

func max(a, b int) int {
if a >= b {
return a
}
return b
}``````
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