#include <bits/stdc++.h>
#define nl "\n"
#define no "NO"
#define yes "YES"
#define fi first
#define se second
#define vec vector
#define task "main"
#define _mp make_pair
#define ii pair<int, int>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define evoid(val) return void(std::cout << val)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FOD(i, b, a) for(int i = (b); i >= (a); --i)
#define unq(x) sort(all(x)); x.resize(unique(all(x)) - x.begin())
using namespace std;
template<typename U, typename V> bool maxi(U &a, V b) {
if (a < b) { a = b; return 1; } return 0;
}
template<typename U, typename V> bool mini(U &a, V b) {
if (a > b or a == -1) { a = b; return 1; } return 0;
}
const int N = (int)1e6 + 9;
const int mod = (int)1e9 + 7;
void prepare(); void main_code();
int main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
const bool MULTITEST = 0; prepare();
int num_test = 1; if (MULTITEST) cin >> num_test;
while (num_test--) { main_code(); }
}
void prepare() {};
int b[N], p[N], u[N];
int n;
namespace SUB2 {
int dp[2007][401];
int trace[2007][401];
int _at[2007];
int res[N][3];
void sol() {
memset(dp, -1, sizeof dp);
dp[1][0] = 0;
for(int i = 1; i < n; ++i)
for(int j = 0; j <= b[i]; ++j) if (dp[i][j] != -1) {
for(int t = 0; t <= p[i]; ++t) {
if (t > b[i + 1]) break ;
if (p[i] - t > b[i] - j + u[i]) continue ;
if (mini(dp[i + 1][t],
dp[i][j] + max(0, p[i] - t - (b[i] - j)))) {
trace[i+1][t] = j;
}
}
}
// FOR(i, 2, n) {
// FOR(j, 1, b[i])
// cout << dp[i][j] << ' '; cout << nl;
// }
int ans = -1;
int px = -1;
for(int i = 0; i <= b[n]; ++i)
if (dp[n][i] != -1 and mini(ans, dp[n][i]))
px=i;
assert(ans != -1);
cout << yes << nl;
cout << ans << nl;
for(int i=n;i>1;--i){
res[i][2]=px;
int j = trace[i][px];
// px la so nguoi da di qua phai
// j la so luong nguoi truoc do roi
int mid = max(0, p[i-1]-px - (b[i-1]-j));
res[i][1] = mid;
res[i][0] = p[i-1]-px-mid;
px = j;
}
FOR(i, 2, n) cout << res[i][0] << ' ' << res[i][1] << ' ' << res[i][2] << nl;
}
};
bool check_false() {
int c = 0;
FOR(i, 1, n - 1) {
// c la so nguoi tai i
int d = max(0, p[i]-u[i]);
d -= b[i] - c;
c = d;
if (c > b[i + 1])
return 1;
}
return 0;
}
void main_code() {
cin >> n;
FOR(i, 1, n) cin >> b[i];
FOR(i, 1, n - 1) cin >> p[i];
FOR(i, 1, n - 1) cin >> u[i];
int B = *max_element(b + 1, b + n + 1);
int P = *max_element(p + 1, p + n + 1);
int U = *max_element(u + 1, u + n + 1);
if (check_false())
evoid(no);
if (n <= 2000 and B <= 400 and P <= 200 and U <= 200)
return SUB2::sol(), void();
}
/* Let the river flows naturally */
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:36:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
36 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:37:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
37 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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