This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "prison.h"
#include "bits/stdc++.h"
std::vector<std::vector<int>> devise_strategy(int N) {
using namespace std;
vector<vector<int>> strat(21, vector<int>(N + 1, 0));
set<int> in;
vector<int> sis{1700, 566, 188, 62, 20, 6};
strat[0][0] = 1;
strat[0][1] = -2;
in.insert(1);
in.insert(5102);
for (int i = 2; i <= N; ++i) {
strat[0][i] = 1 + (i - 2)/(sis[0]);
}
for (int i = 0; i < 5; ++i) {
strat[1 + 3*i][0] = strat[2 + 3*i][0] = strat[3 + 3*i][0] = i%2;
vector<int> nex;
for (int j = 1; j <= N; ++j) {
auto ne = in.lower_bound(j);
if (*ne == j) {
strat[1 + 3*i][j] = strat[2 + 3*i][j] = strat[3 + 3*i][j] = (strat[3*i][j] == -1 ? -2: -1);
} else {
auto be = prev(ne);
if ((j - *be - 1)/sis[i] == 0) {
strat[2 + 3*i][j] = strat[3 + 3*i][j] = -1 - i%2;
if (j == *be + 1) {
nex.push_back(j);
strat[1 + 3*i][j] = -1 - i%2;
} else if ((j - *be)/sis[i] == 1) {
nex.push_back(j);
strat[1 + 3*i][j] = -2 + i%2;
} else {
strat[1 + 3*i][j] = 4 + 3*i + (j - *be - 2)/sis[i + 1];
}
} else if ((j - *be - 1)/sis[i] == 1) {
strat[3 + 3*i][j] = -1 - i%2;
strat[1 + 3*i][j] = -2 + i%2;
if (j == *be + sis[i] + 1) {
nex.push_back(j);
strat[2 + 3*i][j] = -1 - i%2;
} else if ((j - *be)/sis[i] == 2) {
nex.push_back(j);
strat[2 + 3*i][j] = -2 + i%2;
} else {
strat[2 + 3*i][j] = 4 + 3*i + (j - *be - 2 - sis[i])/sis[i + 1];
}
} else {
strat[2 + 3*i][j] = strat[1 + 3*i][j] = -2 + i%2;
if (j == *be + 1 + 2*sis[i]) {
nex.push_back(j);
strat[3 + 3*i][j] = -1 - i%2;
} else if ((j - *be)/sis[i] == 3) {
nex.push_back(j);
strat[3 + 3*i][j] = -2 + i%2;
} else {
strat[3 + 3*i][j] = 4 + 3*i + (j - *be - 2 - 2*sis[i])/sis[i + 1];
}
}
}
}
in.insert(nex.begin(), nex.end());
}
strat[16][0] = strat[17][0] = strat[18][0] = 1;
vector<int> nex;
for (int j = 1; j <= N; ++j) {
auto ne = in.lower_bound(j);
if (*ne == j) {
strat[16][j] = strat[17][j] = strat[18][j] = (strat[15][j] == -1 ? -2: -1);
} else {
auto be = prev(ne);
if ((j - *be - 1)/6 == 0) {
strat[17][j] = strat[18][j] = -2;
if (j == *be + 1) {
nex.push_back(j);
strat[16][j] = -2;
} else if ((j - *be)/6 == 1) {
nex.push_back(j);
strat[16][j] = -1;
} else {
strat[16][j] = 19 + (j - *be - 2)/2;
}
} else if ((j - *be - 1)/6 == 1) {
strat[18][j] = -2;
strat[16][j] = -1;
if (j == *be + 7) {
nex.push_back(j);
strat[17][j] = -2;
} else if ((j - *be)/6 == 2) {
nex.push_back(j);
strat[17][j] = -1;
} else {
strat[17][j] = 19 + (j - *be - 8)/2;
}
} else {
strat[17][j] = strat[16][j] = -1;
if (j == *be + 13) {
nex.push_back(j);
strat[18][j] = -2;
} else if ((j - *be)/6 == 3) {
nex.push_back(j);
strat[18][j] = -1;
} else {
strat[18][j] = 19 + (j - *be - 14)/2;
}
}
}
}
in.insert(nex.begin(), nex.end());
strat[19][0] = strat[20][0] = 0;
for (int j = 1; j <= N; ++j) {
auto ne = in.lower_bound(j);
if (*ne == j) {
strat[19][j] = strat[20][j] = (strat[18][j] == -1 ? -2: -1);
} else {
auto be = prev(ne);
if ((j - *be - 1)/2 == 0) {
strat[20][j] = -1;
strat[19][j] = -1 - (j - *be - 2 == 0);
} else {
strat[19][j] = -2;
strat[20][j] = -1 - (j - *be - 4 == 0);
}
}
}
return strat;
}
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