#include "gift.h"
#include <bits/stdc++.h>
using namespace std;
#ifndef EVAL
#include "grader.cpp"
#endif
struct node
{
int val = -1;
int substr = 0;
};
struct segtree
{
vector<node> tree = vector<node>(1 << 20);
void updset(int index, int b, int e, int l, int r, int v)
{
if (l <= b && e <= r)
{
tree[index] = {v, 0};
return;
}
if (e <= l || r <= b)
return;
{
if (tree[index * 2].val == -1)
tree[index * 2].substr += tree[index].substr;
else
tree[index * 2].val -= tree[index].substr;
if (tree[index * 2 + 1].val == -1)
tree[index * 2 + 1].substr += tree[index].substr;
else
tree[index * 2 + 1].val -= tree[index].substr;
if (tree[index].val != -1)
tree[index * 2] = tree[index * 2 + 1] = {tree[index].val, 0};
}
updset(index * 2, b, (b + e) / 2, l, r, v);
updset(index * 2 + 1, (b + e) / 2, e, l, r, v);
}
void updsubs(int index, int b, int e, int l, int r, int v)
{
if (l <= b && e <= r)
{
tree[index] = {-1, v};
return;
}
if (e <= l || r <= b)
return;
{
if (tree[index * 2].val == -1)
tree[index * 2].substr += tree[index].substr;
else
tree[index * 2].val -= tree[index].substr;
if (tree[index * 2 + 1].val == -1)
tree[index * 2 + 1].substr += tree[index].substr;
else
tree[index * 2 + 1].val -= tree[index].substr;
if (tree[index].val != -1)
tree[index * 2] = tree[index * 2 + 1] = {tree[index].val, 0};
}
updsubs(index * 2, b, (b + e) / 2, l, r, v);
updsubs(index * 2 + 1, (b + e) / 2, e, l, r, v);
}
int query(int index, int b, int e, int p)
{
if (p < b || p >= e)
return 0;
if (e - b == 1)
return tree[index].val;
return query(index * 2, b, (b + e) / 2, p) + query(index * 2 + 1, (b + e) / 2, e, p);
}
} tree;
int construct(int n, int r, std::vector<int> a, std::vector<int> b, std::vector<int> x)
{
int sb = 0;
for (int i : x)
sb |= i;
if (sb == 1)
{
std::string s(n, 'R');
craft(s);
return 1;
}
else if (sb == 2)
{
for (int i = 0; i < a.size(); i++)
if (a[i] == b[i])
return 0;
std::string s(n, 'R');
for (int i = 0; i < n; i++)
s[i] = i % 2 ? 'R' : 'B';
craft(s);
return 1;
}
else
{
for (int i = 0; i < n; i++)
tree.updset(1, 0, n, i, i + 1, i);
vector<int> prefix(n);
iota(prefix.begin(), prefix.end(), 0);
for (int i = 0; i < a.size(); i++) //update single color
{
if (x[i] == 1)
{
int va = tree.query(1, 0, n, a[i]);
int vb = tree.query(1, 0, n, b[i]);
tree.updset(1, 0, n, a[i], b[i], va);
tree.updsubs(1, 0, n, b[i], n, vb - va);
/*
for (int e = b[i] + 1; e < n; e++)
prefix[e] -= prefix[b[i]] - prefix[a[i]];
for (int e = a[i] + 1; e < b[i] + 1; e++)
prefix[e] = prefix[a[i]];
*/ }
}
for (int i = 0; i < a.size(); i++) //check wetherpossible
{
if (x[i] == 2)
{
int va = tree.query(1, 0, n, a[i]);
int vb = tree.query(1, 0, n, b[i]);
if (vb - va < 1)
return 0;
/*if (prefix[b[i]] - prefix[a[i]] < 1)
return 0;*/
}
}
std::string s(n, 'R');
for (int i = 0; i < n; i++)
s[i] = tree.query(1, 0, n, i) % 2 ? 'R' : 'B';
craft(s);
return 1;
}
}
