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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#331105 | #6134. Soldier Game | Lain | WA | 1070ms | 13712kb | C++23 | 3.9kb | 2024-02-18 00:24:01 | 2024-02-18 00:24:01 |
Judging History
answer
#include "bits/stdc++.h"
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tt;
cin >> tt;
while(tt--) {
int n;
cin >> n;
vector<int64_t> a(n);
for (auto& x : a) cin >> x;
struct item {
int64_t val;
int i, j;
bool operator<(const item& o) const {
return val < o.val;
}
};
vector<item> items;
items.reserve(2*n);
for (int i =0; i < n; i++) {
items.push_back({a[i], i, i});
if (i) {
items.push_back({a[i]+a[i-1], i-1, i});
}
}
sort(items.begin(), items.end());
// DS
struct DS {
int n;
int good_comp_count = 0;
set<int> comps;
vector<bool> good;
vector<bool> self;
vector<set<int>> selfpos;
DS (int n) : n(n), good(n), self(n), selfpos(2) {
for (int i = 0; i < n; i++)
comps.insert(i);
comps.insert(n);
}
int find(int u) {
auto it = comps.upper_bound(u);
return *(--it);
}
int next_comp(int c) {
return *comps.upper_bound(c);
}
void insert_edge(int u, int v) {
if (u == v) {
insert_self_edge(u);
} else {
insert_long_edge(u, v);
}
}
bool check_component(int c) {
int nxt = next_comp(c);
int len = nxt - c;
if (len%2 == 0) {
// even
return true;
}
// odd
auto& s = selfpos[c%2];
auto it = s.lower_bound(c);
return it != s.end() && (*it < nxt);
}
void insert_self_edge(int u) {
int c = find(u);
self[u] = 1;
selfpos[u%2].insert(u);
if (!good[c]) {
good[c] = check_component(c);
good_comp_count += good[c];
}
}
void insert_long_edge(int u, int v) {
v = find(v), u = find(u);
good_comp_count -= good[v] + good[u];
comps.erase(v);
good[u] = check_component(u);
good_comp_count += good[u];
}
void delete_edge(int u, int v) {
if (u == v) {
delete_self_edge(u);
} else {
delete_long_edge(u, v);
}
}
void delete_self_edge(int u) {
int c = find(u);
self[u] = 0;
selfpos[u%2].erase(u);
if (good[c]) {
good[c] = check_component(c);
good_comp_count += 1 - good[c];
}
}
void delete_long_edge(int u, int v) {
v = find(v), u = find(u);
good_comp_count -= good[u];
comps.insert(v);
good[u] = check_component(u);
good[v] = check_component(v);
good_comp_count += good[v] + good[u];
}
bool is_good() {
return good_comp_count == (comps.size() - 1);
}
};
DS D(n);
int r =0;
int64_t ans = 1e18;
for (int l = 0; l < items.size(); l++) {
while(r < items.size() && !D.is_good()) {
D.insert_edge(items[r].i, items[r].j);
r++;
}
if (D.is_good())
ans = min(ans, items[r-1].val - items[l].val);
D.delete_edge(items[l].i, items[l].j);
}
cout << ans << '\n';
}
}
// Get all possible sets, order by power - O(n) differnet values
// Iterate over the left endpoint, find smallest right endpoint
// so that it is possible to cover every single node
// Basically check whether the graph has a perfect matching
// Graph is basically a bunch of line graphs and self edges
// The conditions for the graph to have a perfect matching:
// 1. We can consider every component separately
// 2. If a component has an even number of vertices, it is always ok
// 3. If a component has an odd number of vertices, then there must be a self
// edge at one of positions 0, 2, 4, ... to split into even parts
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3608kb
input:
3 5 -1 4 2 1 1 4 1 3 2 4 1 7
output:
1 2 0
result:
ok 3 number(s): "1 2 0"
Test #2:
score: -100
Wrong Answer
time: 1070ms
memory: 13712kb
input:
10010 1 1000000000 1 -1000000000 2 1000000000 -1000000000 4 1000000000 1000000000 -1000000000 -1000000000 3 100 -100 100 16 -17 91 -19 66 100 -70 -71 76 -58 99 52 19 25 -67 -63 -32 7 -95 -26 63 -55 -19 77 -100 17 -100 72 -53 -32 8 -100 53 44 -100 -65 -81 -59 100 100 57 -47 1 11 99 10 -100 3 32 2 -26...
output:
0 0 0 3000000000 100 213 129 265 196 176 163 267 286 0 284 161 261 136 274 143 214 0 207 0 80 248 239 0 218 77 254 189 265 185 38 209 259 126 187 276 120 0 60 999804364 188 263 0 198 216 268 0 167 248 39 0 283 239 0 275 206 253 0 194 85993 199 239 300 248 175 150 196 66 210 130 237 111 24 207 251 18...
result:
wrong answer 4th numbers differ - expected: '2000000000', found: '3000000000'