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| 1 | +#include <bits/stdc++.h> |
| 2 | + |
| 3 | +using namespace std; |
| 4 | + |
| 5 | +int const N = 2e5 + 10; |
| 6 | +int n, k, a[N], seg[4 * N], prv[N], nxt[N], res[N]; |
| 7 | +vector<int> t1, t2; |
| 8 | +set<int> st_inc, st_dec; |
| 9 | + |
| 10 | +void build(int at, int l, int r) { |
| 11 | + if(l == r) { |
| 12 | + seg[at] = l; |
| 13 | + return; |
| 14 | + } |
| 15 | + |
| 16 | + int mid = (l + r) >> 1; |
| 17 | + build(at << 1, l, mid); |
| 18 | + build(at << 1 | 1, mid + 1, r); |
| 19 | + |
| 20 | + if(a[seg[at << 1]] > a[seg[at << 1 | 1]]) |
| 21 | + seg[at] = seg[at << 1]; |
| 22 | + else |
| 23 | + seg[at] = seg[at << 1 | 1]; |
| 24 | +} |
| 25 | + |
| 26 | +int s, e; |
| 27 | +int get(int at, int l, int r) { |
| 28 | + if(l > e || r < s) |
| 29 | + return 0; |
| 30 | + |
| 31 | + if(l >= s && r <= e) |
| 32 | + return seg[at]; |
| 33 | + |
| 34 | + int mid = (l + r) >> 1; |
| 35 | + |
| 36 | + int gl = get(at << 1, l, mid); |
| 37 | + int gr = get(at << 1 | 1, mid + 1, r); |
| 38 | + |
| 39 | + if(a[gl] > a[gr]) |
| 40 | + return gl; |
| 41 | + return gr; |
| 42 | +} |
| 43 | + |
| 44 | +int tar; |
| 45 | +void update(int at, int l, int r) { |
| 46 | + if(l > tar || r < tar) |
| 47 | + return; |
| 48 | + |
| 49 | + if(l == r) { |
| 50 | + a[l] = -1; |
| 51 | + return; |
| 52 | + } |
| 53 | + |
| 54 | + int mid = (l + r) >> 1; |
| 55 | + update(at << 1, l, mid); |
| 56 | + update(at << 1 | 1, mid + 1, r); |
| 57 | + |
| 58 | + if(a[seg[at << 1]] > a[seg[at << 1 | 1]]) |
| 59 | + seg[at] = seg[at << 1]; |
| 60 | + else |
| 61 | + seg[at] = seg[at << 1 | 1]; |
| 62 | +} |
| 63 | + |
| 64 | +int main() { |
| 65 | + a[0] = -1; |
| 66 | + scanf("%d %d", &n, &k); |
| 67 | + for(int i = 1; i <= n; ++i) { |
| 68 | + scanf("%d", a + i); |
| 69 | + st_inc.insert(i); |
| 70 | + st_dec.insert(-i); |
| 71 | + nxt[i] = i + 1; |
| 72 | + prv[i] = i - 1; |
| 73 | + } |
| 74 | + |
| 75 | + build(1, 1, n); |
| 76 | + |
| 77 | + s = 1, e = n; |
| 78 | + for(int i = 0, mxi, flst, blst; t1.size() + t2.size() < n; ++i) { |
| 79 | + flst = blst = -1; |
| 80 | + mxi = get(1, 1, n); |
| 81 | + |
| 82 | + for(int j = mxi, cnt = 0; cnt <= k && j <= n; ++cnt, j = nxt[j]) { |
| 83 | + tar = flst = j; |
| 84 | + update(1, 1, n); |
| 85 | + if(i % 2 == 0) |
| 86 | + t1.push_back(j); |
| 87 | + else |
| 88 | + t2.push_back(j); |
| 89 | + st_inc.erase(tar); |
| 90 | + st_dec.erase(-tar); |
| 91 | + } |
| 92 | + |
| 93 | + for(int j = prv[mxi], cnt = 1; cnt <= k && j > 0; ++cnt, j = prv[j]) { |
| 94 | + tar = blst = j; |
| 95 | + update(1, 1, n); |
| 96 | + if(i % 2 == 0) |
| 97 | + t1.push_back(j); |
| 98 | + else |
| 99 | + t2.push_back(j); |
| 100 | + st_inc.erase(tar); |
| 101 | + st_dec.erase(-tar); |
| 102 | + } |
| 103 | + |
| 104 | + if(flst != -1) { |
| 105 | + if(st_dec.upper_bound(-nxt[flst]) == st_dec.end()) |
| 106 | + prv[nxt[flst]] = 0; |
| 107 | + else |
| 108 | + prv[nxt[flst]] = -(*st_dec.upper_bound(-nxt[flst])); |
| 109 | + } |
| 110 | + |
| 111 | + if(blst != -1) { |
| 112 | + if(st_inc.upper_bound(prv[blst]) == st_inc.end()) |
| 113 | + nxt[prv[blst]] = n + 1; |
| 114 | + else |
| 115 | + nxt[prv[blst]] = *st_inc.upper_bound(prv[blst]); |
| 116 | + } |
| 117 | + } |
| 118 | + |
| 119 | + for(int i = 0; i < t1.size(); ++i) |
| 120 | + res[t1[i]] = 1; |
| 121 | + for(int i = 0; i < t2.size(); ++i) |
| 122 | + res[t2[i]] = 2; |
| 123 | + |
| 124 | + for(int i = 1; i <= n; ++i) |
| 125 | + printf("%d", res[i]); |
| 126 | + puts(""); |
| 127 | + |
| 128 | + return 0; |
| 129 | +} |
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