| 记录编号 |
616249 |
评测结果 |
AAAAAAAAAAAAAAAAAAAA |
| 题目名称 |
[NOIP 2025 T4]序列询问 |
最终得分 |
100 |
| 用户昵称 |
RpUtl |
是否通过 |
通过 |
| 代码语言 |
C++ |
运行时间 |
29.389 s |
| 提交时间 |
2026-06-03 08:15:10 |
内存使用 |
82.65 MiB |
显示代码纯文本
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const int N = 5e4 + 10;
const ll inf = 1e12;
ll mx[17][N], mn[17][N], s[N], ans[N], G[17][17][N], f[N], g[N];
int n, m, logn[N], d, q[N], h, t, a[N], bl[17], br[17], pos[N], numb;
int qmax(int l, int r) {
d = logn[r - l + 1];
return max(mx[d][l], mx[d][r - (1 << d) + 1]);
}
int qmin(int l, int r) {
d = logn[r - l + 1];
return min(mn[d][l], mn[d][r - (1 << d) + 1]);
}
void solve(int l, int r) {
fill(f + 1, f + 1 + n, -inf);
fill(g + 1, g + 1 + n, -inf);
int L, R;
for (int i = 1; i <= n; i++) {
L = i + l - 1, R = min(n, i + r - 1);
if (L <= R) {
f[i] = qmax(L, R) - s[i - 1];
}
}
for (int i = n; i >= 1; i--) {
L = max(i - r, 0), R = i - l;
if (L <= R) {
g[i] = s[i] - qmin(L, R);
}
}
h = 1, t = 0;
for (int i = 1; i <= n; i++) {
while (h <= t && i - q[h] >= l) {
h++;
}
while (h <= t && f[q[t]] <= f[i]) {
t--;
}
q[++t] = i;
ans[i] = max(ans[i], f[q[h]]);
}
h = 1, t = 0;
for (int i = n; i >= 1; i--) {
while (h <= t && q[h] - i >= l) {
h++;
}
while (h <= t && g[q[t]] <= g[i]) {
t--;
}
q[++t] = i;
ans[i] = max(ans[i], g[q[h]]);
}
return;
}
int main() {
freopen("query.in", "r", stdin);
freopen("query.out", "w", stdout);
scanf("%d", &n);
for (int i = 1; i <= n; i++) {
scanf("%d", a + i);
s[i] = s[i - 1] + a[i];
}
for (int i = 0; i <= n; i++) {
mx[0][i] = mn[0][i] = s[i];
}
logn[0] = -1;
for (int i = 1; i <= n + 1; i++) {
logn[i] = logn[i / 2] + 1;
}
for (int i = 1; i <= 16; i++) {
for (int j = 0; j + (1 << i) - 1 <= n; j++) {
mx[i][j] = max(mx[i - 1][j], mx[i - 1][j + (1 << (i - 1))]);
mn[i][j] = min(mn[i - 1][j], mn[i - 1][j + (1 << (i - 1))]);
}
}
for (int k = 0;; k++) {
bl[k] = (1 << k);
br[k] = min(n, (1 << (k + 1)) - 1);
for (int j = bl[k]; j <= br[k]; j++) {
pos[j] = k;
}
fill(ans + 1, ans + 1 + n, -inf);
solve(bl[k], br[k]);
for (int j = 1; j <= n; j++) {
G[k][k][j] = ans[j];
}
if (br[k] == n) {
break;
} else {
numb = k;
}
}
for (int x = 1; x <= n; x++) {
for (int i = numb; i >= 0; i--) {
for (int j = 0; j <= numb; j++) {
if (i == j) {
continue;
}
G[i][j][x] = max(G[i + 1][j][x], G[i][j - 1][x]);
}
}
}
scanf("%d", &m);
int ql, qr, bL, bR;
while (m--) {
scanf("%d %d", &ql, &qr);
fill(ans + 1, ans + 1 + n, -inf);
bL = pos[ql], bR = pos[qr];
if (bL == bR) {
solve(ql, qr);
} else {
solve(ql, br[bL]);
solve(bl[bR], qr);
if (bL < bR - 1) {
bL++, bR--;
for (int j = 1; j <= n; j++) {
ans[j] = max(ans[j], G[bL][bR][j]);
}
}
}
ull res = 0;
for (int i = 1; i <= n; i++) {
res ^= 1ull * i * ans[i];
}
printf("%llu\n", res);
}
return 0;
}